maths case study questions for grade 3

35 math problems for 3 rd graders

In 3rd grade, students are introduced to important math concepts that become the building blocks for future mathematical learning. Let’s practice those concepts with this list of math problems for 3rd graders.

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Author Katie Wickliff

maths case study questions for grade 3

Published September 25, 2023

maths case study questions for grade 3

  • Key takeaways
  • In 3rd grade math, students develop a deeper understanding of multiplication and division, fractions, and measurements.
  • Word problems for 3rd graders require more advanced comprehension skills.
  • Place Value: Understanding place value helps us read and write numbers correctly and compare their values.
  • Look for opportunities for your child to practice their math at home–worksheets, math games , or a math practice app will help strengthen new mathematical knowledge. While consistency is key, math practice for 3rd graders should be engaging and fun.

Table of contents

  • Subtraction
  • Multiplication
  • Measurement
  • Multi-step word problems

Answer sheet

In addition to reviewing and strengthening the skills learned in previous years, 3rd graders learn multiplication and division, explore fractions, calculate measurements, and more. Also, word problems for 3rd graders are often multi-step, requiring students to understand what operations to perform and how to perform them correctly. 

This list of 3rd grade math problems is intended to reinforce concepts students have already been taught. The list is divided into sections: addition, subtraction, multiplication, division, fractions, measurement, and multi-step problems. These sections allow students to specifically focus their practice, but feel free to skip around and choose the 3rd grade math practice problems that best suit your child’s needs. 

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Measurement and data

Sample questions, 35 third grade math problems, section 1: addition.

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At the school carnival, Hattie won 25 tickets at ring toss and 40 tickets at balloon darts. How many tickets did she win altogether?

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There are 15 baby chicks at the barn. 12 more chicks are born. How many baby chicks are at the barn now?

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How can you represent the number line with an equation?

maths case study questions for grade 3

Using the number line, solve 7+ _ = 22

maths case study questions for grade 3

Amir practices basketball three days a week. On Tuesday, he practices basketball for 60 minutes. On Wednesday, he practices for 37 minutes. On Thursday, he practices for 15 minutes. Which expression shows how to find the total number of minutes Amir practiced? Circle the correct answer

Section 2: Subtraction

Using the number line, solve 17-6=

maths case study questions for grade 3

There are 224 Lions fans and 212 Tigers fans at the football game. How many more Lions fans than Tigers fans are at the game?

An animal shelter has 27 kittens available for adoption. On Friday, 8 kittens are adopted. How many kittens are left at the shelter?

Gemma has 130 beads for bracelets. She gives 75 beads to Piper and 6 beads to Claire. Which expression shows how to find the total number of beads Gemma has left? Circle the correct answer.

Using the number line, solve 30- _ = 14

maths case study questions for grade 3

Section 3: Multiplication

Using the picture below, write a multiplication equation to find the number of shapes

maths case study questions for grade 3

Francis and Jane are playing a card game. Francis has 7 cards. Jane has 3 times as many cards as Francis. How many cards does Jane have?

maths case study questions for grade 3

Using the number line to show hops, complete the multiplication sentence

maths case study questions for grade 3

Solve the equation

maths case study questions for grade 3

Mariela has 8 pages of math homework. There are 4 problems on each page. How many total problems does Mariela have for math homework?

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Section 4: Division

Connor has 80 crayons that he will put into crayon boxes. Each crayon box can hold 8 crayons. How many crayon boxes does he need?

Using the number line to show hops, complete the division sentence

maths case study questions for grade 3

Natalie divided 12 marbles into equal groups of 3. Draw a representation to show equal grouping.

Craig’s mom brought 12 cookies to the soccer game. She shared them equally among Craig and 3 teammates. Which expression will solve the problem correctly? Circle the answer.

Section 5: Fractions

Using the number line, work out what A, B and C represent.

maths case study questions for grade 3

Plot ¼ on this number line:

maths case study questions for grade 3

A cheese pizza has 8 slices. Marco ate 2 of the slices. His dad at the rest.  What fraction of the pizza did Marco eat? What fraction of the pizza did his dad eat?

There are 15 flowers in a garden. 10 flowers are yellow and the rest are red. What is the fraction of red flowers in the garden?

Using the number line, find the value of K and L. Which is bigger?

maths case study questions for grade 3

Section 6: Measurement

A school bus is 12 feet long and a car is 4 feet shorter than the bus. How long is the car?

John is 64 inches tall, Mabel is 59 inches tall, and Phoebe is 57 inches tall. How much taller is John than Phoebe?

Use the ruler provided to measure to the nearest ¼ inch:

maths case study questions for grade 3

Find the area of the square below

maths case study questions for grade 3

Find the perimeter of the rectangle below

maths case study questions for grade 3

Section 7: Multi-step word problems

Sarah has two $10 bills. Her sister has one $5 bill. They combine their money to buy a game that costs $22 dollars. How much change will they receive?

Dad baked 36 cookies for the bake sale. Jonas baked 24 cookies for the bake sale. His brother ate 5 cookies before the bake sale started. How many cookies do they have left to sell?

The school bus seats 75 students in all. On Friday, the school bus was full. At the first stop, 7 students got off. At the second stop, 15 students got off. How many children were left on the bus?

George has 25 water balloons. He wants to divide the water balloons equally between himself and 2 friends. How many water balloons will each get? Will there be any water balloons left over?

On Monday, 5 inches of snow fell. On Tuesday, 3 inches of snow fell. On Wednesday, 7 inches of snow fell. The school will have a snow day if it snows 21 inches or more. How many more inches would it have to snow for the school to have a snow day?

maths case study questions for grade 3

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maths case study questions for grade 3

Addition answers

25+40= 65. Hattie won 65 tickets

15+12= 27. 27 baby chicks are at the barn

7+ 15= 22. This should be represented by 15 “hops” on the number line

Subtraction answers

17-6=11. This should be represented by 11 “hops” on the number line

224-212= 12. There are 12 more Lions fans than Tiger fans

27-8= 19. There are 19 kittens left at the shelter.

Multiplication answers

2×3=6; 3×2=6

7×3=21. Jane has 21 cards.

maths case study questions for grade 3

8×4= 32

Division answers

maths case study questions for grade 3

40÷8= 5. It will take Max 5 days to pay Bennett.

Drawing should show 3 groups of 4 marbles each.

Fractions answers

The ¼ should be plotted on the point between 0 and ½

Marco ate 2/8 (or ¼) of the pizza. His dad ate 6/8 (or ¾) of the pizza

5/15 (or ⅓)

K= ⅜, L= 6/8 (or ¾). L is larger.

Measurement answers

12-4=8. The car is 8 feet long.

64-57=7. John is 7 inches taller than Phoebe

8×8=64. The area is 64 yd2

8+8+2+2=20 cm

Multi-step word answer answers

$10+$10= $20. 

$20+$5=$25.

$25-$22= $3

 Sarah and her sister will receive $3 in change

They have 55 cookies left to sell

53 students are left on the bus

George and his friends each get 6 water balloons, with one left over.

  • 5 in+ 3 in+ 7 in= 15 in

21 in- 15 in= 6 in

It must snow 6 more inches to get a snow day. 

Lesson credits

maths case study questions for grade 3

Katie Wickliff

Katie holds a master’s degree in Education from the University of Colorado and a bachelor’s degree in both Journalism and English from The University of Iowa. She has over 15 years of education experience as a K-12 classroom teacher and Orton-Gillingham certified tutor. Most importantly, Katie is the mother of two elementary students, ages 8 and 11. She is passionate about math education and firmly believes that the right tools and support will help every student reach their full potential.

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CBSE Class 10 Maths Case Study

CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths. Students must solve these case study based problems as soon as they are done with their syllabus. 

These case studies are in the form of Multiple Choice Questions where students need to answer them as asked in the exam. The MCQs are not that difficult but having a deep and thorough understanding of NCERT Maths textbooks are required to answer these. Furthermore, we have provided the PDF File of CBSE Class 10 maths case study 2021-2022.

Class 10 Maths (Formula, Case Based, MCQ, Assertion Reason Question with Solutions)

In order to score good marks in the term 1 exam students must be aware of the Important formulas, Case Based Questions, MCQ and Assertion Reasons with solutions. Solving these types of questions is important because the board will ask them in the Term 1 exam as per the changed exam pattern of CBSE Class 10th.

Important formulas should be necessarily learned by the students because the case studies are solved with the help of important formulas. Apart from that there are assertion reason based questions that are important too. 

Real Number
Polynomials ( )
Pair of Linear Equations in Two Variables (MCQ, Case-Based, Assertion & Reasoning)
Coordinate Geometry (MCQ, Case-Based, Assertion & Reasoning)
Triangles
Introduction to Trigonometry (MCQ, Case-Based, Assertion & Reasoning)
Areas Related to Circles (MCQ, Case-Based, Assertion & Reasoning)
Probability (MCQ, Case-Based, Assertion & Reasoning)
Quadratic Equation (MCQ)
Arithmetic Progression (MCQ)
Some Application of Trigonometry (MCQ)
Circles (MCQ)
Constructions (MCQ)
Surface Areas and Volumes (MCQ)
Statistics (MCQ)

Assertion Reasoning is a kind of question in which one statement (Assertion) is given and its reason is given (Explanation of statement). Students need to decide whether both the statement and reason are correct or not. If both are correct then they have to decide whether the given reason supports the statement or not. In such ways, assertion reasoning questions are being solved. However, for doing so and getting rid of confusions while solving. Students are advised to practice these as much as possible.

For doing so we have given the PDF that has a bunch of MCQs questions based on case based, assertion, important formulas, etc. All the Multiple Choice problems are given with detailed explanations.

CBSE Class 10th Case study Questions

Recently CBSE Board has the exam pattern and included case study questions to make the final paper a little easier. However, Many students are nervous after hearing about the case based questions. They should not be nervous because case study are easy and given in the board papers to ease the Class 10th board exam papers. However to answer them a thorough understanding of the basic concepts are important. For which students can refer to the NCERT textbook.

Basically, case study are the types of questions which are developed from the given data. In these types of problems, a paragraph or passage is given followed by the 5 questions that are given to answer . These types of problems are generally easy to answer because the data are given in the passage and students have to just analyse and find those data to answer the questions.

CBSE Class 10th Assertion Reasoning Questions

These types of questions are solved by reading the statement, and given reason. Sometimes these types of problems can make students confused. To understand the assertion and reason, students need to know that there will be one statement that is known as assertion and another one will be the reason, which is supposed to be the reason for the given statement. However, it is students duty to determine whether the statement and reason are correct or not. If both are correct then it becomes important to check, does reason support the statement? 

Moreover, to solve the problem they need to look at the given options and then answer them.

CBSE Class 10 Maths Case Based MCQ

CBSE Class 10 Maths Case Based MCQ are either Multiple Choice Questions or assertion reasons. To solve such types of problems it is ideal to use elimination methods. Doing so will save time and answering the questions will be much easier. Students preparing for the board exams should definitely solve these types of problems on a daily basis.

Also, the CBSE Class 10 Maths MCQ Based Questions are provided to us to download in PDF file format. All are developed as per the latest syllabus of CBSE Class Xth.

Class 10th Mathematics Multiple Choice Questions

Class 10 Mathematics Multiple Choice Questions for all the chapters helps students to quickly revise their learnings, and complete their syllabus multiple times. MCQs are in the form of objective types of questions whose 4 different options are given and one of them is a true answer to that problem. Such types of problems also aid in self assessment.

Case Study Based Questions of class 10th Maths are in the form of passage. In these types of questions the paragraphs are given and students need to find out the given data from the paragraph to answer the questions. The problems are generally in Multiple Choice Questions.

The Best Class 10 Maths Case Study Questions are available on Selfstudys.com. Click here to download for free.

To solve Class 10 Maths Case Studies Questions you need to read the passage and questions very carefully. Once you are done with reading you can begin to solve the questions one by one. While solving the problems you have to look at the data and clues mentioned in the passage.

In Class 10 Mathematics the assertion and reasoning questions are a kind of Multiple Choice Questions where a statement is given and a reason is given for that individual statement. Now, to answer the questions you need to verify the statement (assertion) and reason too. If both are true then the last step is to see whether the given reason support=rts the statement or not.

CBSE 10th Compartment Result 2024 Out: CBSE Class 10 Supplementary Results Released, Direct Link Here

CBSE 10th Compartment Result 2024 Out: CBSE Class 10 Supplementary Results Released, Direct Link Here

CBSE 10th Compartment Result 2024: CBSE to Release Class 10 Compartment Results Soon; Check Details Here

CBSE 10th Compartment Result 2024: CBSE to Release Class 10 Compartment Results Soon; Check Details Here

When to Expect CBSE Class 10 Supplementary Results 2024?

When to Expect CBSE Class 10 Supplementary Results 2024?

CBSE 10th Exam 2024-25 : Mathematics (Volume-4) Official Competency Focused Practice Questions released by CBSE

CBSE 10th Exam 2024-25 : Mathematics (Volume-4) Official Competency Focused Practice Questions released by CBSE

CBSE Class 10 Results 2024 : CBSE Class 10 Answer Book Photocopy Applications Open

CBSE Class 10 Results 2024 : CBSE Class 10 Answer Book Photocopy Applications Open

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CBSE 10th 2024-25 : Social Science Official Competency Focused Practice Questions released by CBSE

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Class 9 Maths Case Study Questions Chapter 3 Coordinate Geometry

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Case study Questions in Class 9 Mathematics Chapter 3  are very important to solve for your exam. Class 9 Maths Chapter 3 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  Class 9 Maths Case Study Questions  Chapter 3 Coordinate Geometry

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

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In CBSE Class 9 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Coordinate Geometry Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 3 Coordinate Geometry

Case Study/Passage-Based Questions

maths case study questions for grade 3

(a) 3 units(b) 4 units(c) 5 units(d) 2 units

Answer: (d) 2 units

(ii) How far is the library from Shaguns house?

(a) 3 units(b) 2 units(c) 5 units(d) 4 units

Answer: (b) 2 units

(iii) How far is the library from Alia’s house?

(a) 2 units(b) 3 units(c) 4 units(d) None of these

Answer: (d) None of these

(iv) Which of the following is true?

(a) ABC forms a scalene triangle(b) ABC forms an isosceles triangle
(c) ABC forms an equilateral triangle(d) None of these

Answer: (b) ABC forms an isosceles triangle

maths case study questions for grade 3

(a) 12 cm(b) 15 cm(c) 18 cm(d) none of these

Answer: (d) none of these

(ii) The distance of the bus stand from the house is

(a) 5 cm(b) 10 cm(c) 12 cm(d) 15 cm

Answer: (b) 10 cm

(iii) If the grocery store and electrician’s shop lie on a line, the ratio of the distance of house from grocery store to that from electrician’s shop, is

(a) 3.2(b) 2.3(c) 1.2(d) 2.1

Answer: (c) 1.2

(iv) The ratio of distances of the house from the bus stand to the food cart is

(a) 1.2(b) 2.1(c) 1.1(d) none of these

Answer: (c) 1.1

(v) The coordinates of positions of bus stand, grocery store, food cart, and electrician’s shop form a

(a) rectangle(b) parallelogram(c) square (d) none of these

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 3 Coordinate Geometry with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Coordinate Geometry Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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Case Study Questions for Class 11 Maths Chapter 3 Trigonometric Functions

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Case Study Questions for Class 11 Maths Chapter 3 Trigonometric Functions

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[PDF] Download Case Study Questions for Class 11 Maths Chapter 3 Trigonometric Functions

Here we are providing case study questions for class 11 maths. In this article, we are sharing Class 11 Maths Chapter 3 Trigonometric Functions. All case study questions of class 11 maths are solved so that students can check their solutions after attempting questions.

What is meant by Case Study Question?

In the context of CBSE (Central Board of Secondary Education), a case study question is a type of question that requires students to analyze a given scenario or situation and apply their knowledge and skills to solve a problem or answer a question related to the case study.

Case study questions typically involve a real-world situation that requires students to identify the problem or issue, analyze the relevant information, and apply their understanding of the relevant concepts to propose a solution or answer a question. These questions may involve multiple steps and require students to think critically, apply their problem-solving skills, and communicate their reasoning effectively.

Importance of Solving Case Study Questions for Class 11 Maths

Case study questions are an important aspect of mathematics education at the Class 11 level. These questions require students to apply their knowledge and skills to real-world scenarios, helping them develop critical thinking, problem-solving, and analytical skills. Here are some reasons why case study questions are important in Class 11 maths education:

  • Real-world application: Case study questions allow students to see how the concepts they are learning in mathematics can be applied in real-life situations. This helps students understand the relevance and importance of mathematics in their daily lives.
  • Higher-order thinking: Case study questions require students to think critically, analyze data, and make connections between different concepts. This helps develop higher-order thinking skills, which are essential for success in both academics and real-life situations.
  • Collaborative learning: Case study questions often require students to work in groups, which promotes collaborative learning and helps students develop communication and teamwork skills.
  • Problem-solving skills: Case study questions require students to apply their knowledge and skills to solve complex problems. This helps develop problem-solving skills, which are essential in many careers and in everyday life.
  • Exam preparation: Case study questions are included in exams and tests, so practicing them can help students prepare for these assessments.

Overall, case study questions are an important component of Class 11 mathematics education, as they help students develop critical thinking, problem-solving, and analytical skills, which are essential for success in both academics and real-life situations.

Feature of Case Study Questions on This Website

Here are some features of a Class 11 Maths Case Study Questions Booklet:

Many Case Study Questions: This website contains many case study questions, each with a unique scenario and problem statement.

Different types of problems: The booklet includes different types of problems, such as optimization problems, application problems, and interpretation problems, to test students’ understanding of various mathematical concepts and their ability to apply them to real-world situations.

Multiple-choice questions: Questions contains multiple-choice questions to assess students’ knowledge, understanding, and critical thinking skills.

Focus on problem-solving skills: The questions are designed to test students’ problem-solving skills, requiring them to identify the problem, select appropriate mathematical tools, and analyze and interpret the results.

Emphasis on practical applications: The case studies in the booklet focus on practical applications of mathematical concepts, allowing students to develop an understanding of how mathematics is used in real-life situations.

Comprehensive answer key: The booklet includes a comprehensive answer key that provides detailed explanations and step-by-step solutions for all the questions, helping students to understand the concepts and methods used to solve each problem.

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Private: Learning Math: Measurement

Professional Development > Private: Learning Math: Measurement > 11. Classroom Case Studies, 3-5

Mathematics

K-2 , 3-5 , 6-8

Classroom Case Studies, 3-5

Watch this program in the 10th session for grade 3-5 teachers. Explore how the concepts developed in this course can be applied through case studies of grade 3-5 teachers (former course participants who have adapted their new knowledge to their classrooms), as well as a set of typical measurement problems for grade 3-5 students.

In This Session

Part A: The Concept of Area Part B: Reasoning About Measurement Part C: Problems That Illustrate Measurement Reasoning Homework

This is the final session of the Measurement course! In this session, we will examine how measurement concepts from the previous nine sessions might look when applied to situations in your own classroom. This session is customized for three grade levels. Select the grade level most relevant to your teaching.

In the previous sessions, we explored many different topics related to measurement. You put yourself in the position of a mathematics learner, both to analyze your individual approach to solving problems and to get some insights into your own understanding of measurement topics. It may have been difficult to separate your thinking as a mathematics learner from your thinking as a mathematics teacher. Not surprisingly, this is often the case! In this session, however, we will shift the focus to your own classroom and to the approaches your students might take with mathematical tasks involving measurement. Note 1

For the list of materials that are required and/or optional in this session, see Note 2 .

Learning Objectives

In this session, you will do the following:

  • Explore the development of the concept of area in the elementary grades
  • Examine students’ understanding of area and perimeter relationships
  • Investigate instructional tasks on area that are developmentally appropriate for elementary school students
  • Explore how you might teach related measurement topics

Previously Introduced

Area:  Area is a measure of how much surface is covered by a figure.

This session uses classroom case studies to examine how children in grades 3-5 think about and work with measurement concepts. If you are taking this course on your own, you may want to share your observations on Channel Talk or ask some of your colleagues for their input. Using the classrooms of fellow teachers as well as your own as case studies will allow you to make additional observations.

Materials Needed:

  • Graph paper (optional)
  • Square tiles (optional)
  • Centimeter grid paper (optional)
  • Geometry software, such as Geometer’s
  • Sketchpad (optional)
  • Pictures or models of different types of triangles (optional)
  • Protractor (optional)

Series Directory

  • 1 Students’ Understanding of Area (video)
  • 2 Engaging Students’ in Hands-On Activities (video)
  • 1 Part A: Comparing Rocks (15 minutes)
  • 2 Part B: Which Rock Is the Largest? (65 minutes)
  • 3 Part C: Nonstandard Units (30 minutes)
  • 4 Part D: Summing It Up (10 minutes)
  • 1 Part A: Measuring Accurately (45 minutes)
  • 2 Part B: The Role of Ratio (45 minutes)
  • 3 Part C: Precision and Accuracy (30 minutes)
  • 1 Part A: Metric System Basics (35 minutes)
  • 2 Part B: Metric Units (85 minutes)
  • 1 Part A: Angle Definition (20 minutes)
  • 2 Part B: Angles in Polygons
  • 3 Part C: Geo-Logo (40 minutes)
  • 1 Part A: Indirect Measurement With a Transit (40 minutes)
  • 2 Part B: Measuring Heights of Tall Objects (35 minutes)
  • 3 Part C: Steepness and Trigonometry (45 minutes)
  • 1 Part A: Measuring Area (35 minutes)
  • 2 Part B: Exploring Area With a Geoboard (50 minutes)
  • 3 Part C: Scaling the Area (35 minutes)
  • 1 Part A: Circles and Circumference (60 minutes)
  • 2 Part B: Area of a Circle (60 minutes)
  • 1 Part A: How Many Cubes? (60 minutes)
  • 2 Part B: Volume Formulas (60 minutes)
  • 1 Part A: Area and Perimeter (45 minutes)
  • 2 Part B: Surface Area and Volume (40 minutes)
  • 3 Part C: Designing a Water Tank (35 minutes)
  • 1 Part A: The Concept of Area (25 minutes)
  • 2 Part B: Reasoning About Measurement (40 minutes)
  • 3 Part C: Activities That Illustrate Measurement Reasoning (55 minutes)
  • 3 Part C: Problems That Illustrate Measurement Reasoning (55 minutes)
  • Closed Captioning
  • ISBN: 1-57680-728-2

11.1 Part A: The Concept of Area (25 minutes)

Session 10: 3-5, Part A

11.2 Part B: Reasoning About Measurement (40 minutes)

Session 10: 3-5, Part B

11.3 Part C: Problems That Illustrate Measurement Reasoning (55 minutes)

Session 10: 3-5, Part C

11.4 Homework

Session 10: 3-5, Homework

How to Use 0 About the Learning Math Courses

Session 1 what does it mean to measure.

Explore what can be measured and what it means to measure. Identify measurable properties such as weight, surface area, and volume, and discuss which metric units are more appropriate for measuring these properties. Refine your use of precision instruments, and learn about alternate methods such as displacement. Explore approximation techniques, and reason about how to make better approximations.

Session 2 Fundamentals of Measurement

Investigate the difference between a count and a measure, and examine essential ideas such as unit iteration, partitioning, and the compensatory principle. Learn about the many uses of ratio in measurement and how scale models help us understand relative sizes. Investigate the constant of proportionality in isosceles right triangles, and learn about precision and accuracy in measurement.

Session 3 The Metric System

Learn about the relationships between units in the metric system and how to represent quantities using different units. Estimate and measure quantities of length, mass, and capacity, and solve measurement problems.

Session 4 Angle Measurement

Review appropriate notation for angle measurement, and describe angles in terms of the amount of turn. Use reasoning to determine the measures of angles in polygons based on the idea that there are 360 degrees in a complete turn. Learn about the relationships among angles within shapes, and generalize a formula for finding the sum of the angles in any n-gon. Use activities based on GeoLogo to explore the differences among interior, exterior, and central angles.

Session 5 Indirect Measurement and Trigonometry

Learn how to use the concept of similarity to measure distance indirectly, using methods involving similar triangles, shadows, and transits. Apply basic right-angle trigonometry to learn about the relationships among steepness, angle of elevation, and height-to-distance ratio. Use trigonometric ratios to solve problems involving right triangles.

Session 6 Area

Learn that area is a measure of how much surface is covered. Explore the relationship between the size of the unit used and the resulting measurement. Find the area of irregular shapes by counting squares or subdividing the figure into sections. Learn how to approximate the area more accurately by using smaller and smaller units. Relate this counting approach to the standard area formulas for triangles, trapezoids, and parallelograms.

Session 7 Circles and Pi (π)

Investigate the circumference and area of a circle. Examine what underlies the formulas for these measures, and learn how the features of the irrational number pi (π) affect both of these measures.

Session 8 Volume

Explore several methods for finding the volume of objects, using both standard cubic units and non-standard measures. Explore how volume formulas for solid objects such as spheres, cylinders, and cones are derived and related.

Session 9 Measurement Relationships

Examine the relationships between area and perimeter when one measure is fixed. Determine which shapes maximize area while minimizing perimeter, and vice versa. Explore the proportional relationship between surface area and volume. Construct open-box containers, and use graphs to approximate the dimensions of the resulting rectangular prism that holds the maximum volume.

Session 10 Classroom Case Studies, K-2

Watch this program in the 10th session for K-2 teachers. Explore how the concepts developed in this course can be applied through case studies of K-2 teachers (former course participants who have adapted their new knowledge to their classrooms), as well as a set of typical measurement problems for K-2 students.

Session 11 Classroom Case Studies, 3-5

Session 12 classroom case studies, 6-8.

Watch this program in the 10th session for grade 6-8 teachers. Explore how the concepts developed in this course can be applied through case studies of grade 6-8 teachers (former course participants who have adapted their new knowledge to their classrooms), as well as a set of typical measurement problems for grade 6-8 students.

maths case study questions for grade 3

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  • CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Chapter 3 - Pair of Linear Equations in Two Variables (Published by CBSE)

Cbse's question bank on case study for class 10 maths chapter 3 is available here. these questions will be very helpful to prepare for the cbse class 10 maths exam 2022..

Gurmeet Kaur

Case study questions are going to be new for CBSE Class 10 students. These are the competency-based questions that are completely new to class 10 students. To help students understand the format of the questions, CBSE has released a question bank on case study for class 10 Maths. Students must practice with these questions to get familiarised with the concepts and logic used in the case study and understand how to answers them correctly. You may check below the case study questions for CBSE Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables. You can also check the right answer at the end of each question.

Check Case Study Questions for Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables

CASE STUDY-1:

1. If answer to all questions he attempted by guessing were wrong, then how many questions did he answer correctly?

2. How many questions did he guess?

3. If answer to all questions he attempted by guessing were wrong and answered 80 correctly, then how many marks he got?

4. If answer to all questions he attempted by guessing were wrong, then how many questions answered correctly to score 95 marks?

Let the no of questions whose answer is known to the student x and questions attempted by cheating be y

x – 1/4y =90

solving these two

x = 96 and y = 24

1. He answered 96 questions correctly.

2. He attempted 24 questions by guessing.

3. Marks = 80- ¼ 0f 40 =70

4. x – 1/4 of (120 – x) = 95

5x = 500, x = 100

CASE STUDY-2:

Amit is planning to buy a house and the layout is given below. The design and the measurement has been made such that areas of two bedrooms and kitchen together is 95 sq.m.

maths case study questions for grade 3

Based on the above information, answer the following questions:

1. Form the pair of linear equations in two variables from this situation.

2. Find the length of the outer boundary of the layout.

3. Find the area of each bedroom and kitchen in the layout.

4. Find the area of living room in the layout.

5. Find the cost of laying tiles in kitchen at the rate of Rs. 50 per sq.m.

1. Area of two bedrooms= 10x sq.m

Area of kitchen = 5y sq.m

10x + 5y = 95

Also, x + 2+ y = 15

2. Length of outer boundary = 12 + 15 + 12 + 15 = 54m

3. On solving two equation part(i)

x = 6m and y = 7m

area of bedroom = 5 x 6 = 30m

area of kitchen = 5 x 7 = 35m

4. Area of living room = (15 x 7) – 30 = 105 – 30 = 75 sq.m

5. Total cost of laying tiles in the kitchen = Rs50 x 35 = Rs1750

Case study-3 :

It is common that Governments revise travel fares from time to time based on various factors such as inflation ( a general increase in prices and fall in the purchasing value of money) on different types of vehicles like auto, Rickshaws, taxis, Radio cab etc. The auto charges in a city comprise of a fixed charge together with the charge for the distance covered. Study the following situations:

maths case study questions for grade 3

Situation 1: In city A, for a journey of 10 km, the charge paid is Rs 75 and for a journey of 15 km, the charge paid is Rs 110.

Situation 2: In a city B, for a journey of 8km, the charge paid is Rs91 and for a journey of 14km, the charge paid is Rs 145.

Refer situation 1

1. If the fixed charges of auto rickshaw be Rs x and the running charges be Rs y km/hr, the pair of linear equations representing the situation is

a) x + 10y =110, x + 15y = 75

b) x + 10y = 75, x + 15y = 110

c) 10x + y = 110, 15x + y = 75

d) 10x + y = 75, 15x + y = 110

Answer: b) x + 10y = 75, x + 15y = 110

2. A person travels a distance of 50km. The amount he has to pay is

Answer: c) Rs.355

Refer situation 2

3. What will a person have to pay for travelling a distance of 30km?

Answer: b) Rs.289

4. The graph of lines representing the conditions are: (situation 2)

maths case study questions for grade 3

Answer: (iii)

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

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maths case study questions for grade 3

We all have heard of this word in the field of mathematics as well as in our everyday lives. For example when we eat half apple, it’s a fraction, if we eat ¼ of apple it’s also fraction. Let us just find what actually it is.

Maths class 3 Fractions

The part of a whole is known as Fraction. For example if a watermelon is cut into 4 parts then each part will be a fraction of the whole watermelon.

Maths class 3 Fractions

Understanding Fractions

A fraction consists of two parts:-

  • Numerator : The part which is written above the horizontal line is called as numerator.
  • Denominator : The part which is written below the sleeping line horizontal line is called as denominator.

Thus, a number is written above and a below the horizontal line and then the arrangement is called as fraction.

Example 1 : As we know that 1 /2 is a fraction where 1 is the numerator and 2 is the denominator and the whole ½ is called a fraction.

Types of Fractions

There are three types of fractions:

  • Proper Fraction : Fraction whose numerator is less than the denominator is called a proper fraction.

Example 2 : 3/4, 7/8, 2/5, 5/7, etc.

  • Improper Fraction : Fraction whose numerator is either equal or greater than the denominator.

Example 3 : 3/2, 5/4, 8/7, 11/11, 2/2, etc.

  • Mixed Fraction : A combination of a whole number and fraction together is called mixed fraction.

Maths class 3 Fractions

Example 4 : There is method of solving mixed fractions and by this we convert the mixed fraction into improper fraction.

Example 5 : Solve the above example.

Solution : To solve this we will follow 3 steps

  • Multiply the whole no. with denominator. (2 x 3 = 6).
  • Add the answer obtained in step 1 to the numerator

(6 +1 = 7).

  • Place the result obtained in step 2 in the place of numerator and the denominator remains the same.

Hence the fraction becomes 7/3 which is an improper fraction.

There is another category of fractions called as

Equivalent Fractions : Those fractions which look different but on solving becomes same.

Example 6 :- 1/3 and 2/6. Here 2/6 can be written as 2/2 x 1/3.

And 2/2 =1 therefore 2/6 comes up to be 1/3.

Another example is 1/2 and 2/4.

Comparing Fractions

Comparing means to find out some characteristics like which one is greater and which is small when two or more numbers are observed together.

Here we are going to compare two fractions whose denominators are same and it can be done in the following steps:-

  • Observe that the denominator of both the fractions is same.
  • Now observe the numerator, the fraction whose numerator is greater will be the greater fraction.

Example 7 : Compare who is greater 3/7 or 5/7?

Solution : Here both the fractions have the same denominator and hence on observing the numerators we get that 5 is greater than 3 there 5/7 is greater than 3/7.

Computing operations on fractions

As we all know that addition, subtraction, multiplication and division are the computing operations.

Here we are going to study only the first two computation operations on fractions.

Addition and Subtraction of Fractions

Two fractions with the same denominator can be added or subtracted by using the two steps:

  • Observe that the denominators of both the fractions are same.
  • Add or subtract the numerators as asked in the questions.

Example 8 : Add and subtract 4/5 and 3/5.

Solution : As we can see the denominators of both the fractions is same and hence we can add and subtract them by using the numerators.

Therefore, 4/5 + 3/5 = 7/5 and 4/5 – 3/5 = 1/5.

Practice Questions

Question 1 :- What is 3 parts of 4 and how will you write it?

Question 2 :- Which one is smaller 11/13 or 15/13?

Question 3 :- Solve the mixed fraction 5 ½.

Question 4 :- State True or False:

  • 5/9 = 10/18.
  • 12/13 < 9/13.
  • 13 /15 is an improper fraction.
  • 15/15 is a proper fraction.
  • 15/17 is a proper fraction.

Question 6 :- Compute the answers of the following:

  • 4/3 + 5/3 = ?
  • 17/12 – 5/12 = ?
  • 5/2 + 1/2 = ?
  • The part of a whole is fraction.
  • Numerator and denominator are the parts of a fraction.
  • Fractions can only contain integers
  • If denominators are same then we can compare the fractions by comparing the numerators.
  • If Numerator > or = Denominator then improper fraction.
  • If Numerator < Denominator then proper fraction.

Quiz for Fractions

Q.1

Write the fraction of the shaded region:

a) 1/2
b) 3/2
c) 4/3
d) none of the above

Q.2

Write the fraction of the shaded region :

a) 1
b) 1/4
c) 1/3
d) 2/3

Q.3

Write the fraction of the unshaded region :

a) 3/5
b) 1/3
c) 2/3
d) 1/7

Q.4

Write the fraction of the shaded region :

a) 1/3
b) 1/4
c) 1/2
d) 3/4

Q.5

Write the fraction of the shaded region :

a) 1/4
b) 4/5
c) 2/3
d) 1/3

Q.6

Identify the fraction : 14/97

a) Proper fraction
b) Improper fraction
c) Mixed fraction
d) none of the above

Q.7

Identify the fraction : 29/27

a) Proper fraction
b) Improper fraction
c) Mixed fraction
d) none of the above

Q.8

Identify the fraction : 42/87

a) Proper fraction
b) Improper fraction
c) Mixed fraction
d) none of the above

Q.9

Identify the fraction : 88/44

a)

Proper fraction

b)

Improper fraction

c)

Mixed fraction

d)

None of the above

Q.10

Identify the fraction : 47/82

a) Mixed Fraction
b) Improper fraction
c) Proper fraction
d) none of the above

Your Score: 0 /10

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CBSE Class 9 Mathematics Case Study Questions

Table of Contents

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If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

  • Now he told Raju to draw another line CD as in the figure
  • The teacher told Ajay to mark  ∠ AOD  as 2z
  • Suraj was told to mark  ∠ AOC as 4y
  • Clive Made and angle  ∠ COE = 60°
  • Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

  • 2y + z = 90°
  • 2y + z = 180°
  • 4y + 2z = 120°
  • (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

  • (a) 31.6 m²
  • (c) 513.3 m³
  • (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

INUMBER SYSTEMS10
IIALGEBRA20
IIICOORDINATE GEOMETRY04
IVGEOMETRY27
VMENSURATION13
VISTATISTICS & PROBABILITY06

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

1.  Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.
 Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas
4354
2. Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.1924
3.
Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations

Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.

Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions
1822
  80100

myCBSEguide: Blessing in disguise

Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

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14 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

MATHS PAAGAL HAI

All questions was easy but search ? hard questions. These questions was not comparable with cbse. It was totally wastage of time.

Where is search ? bar

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Can I have more questions without downloading the app.

I love math

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maths case study questions for grade 3

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3rd Class Mathematics Fractions Question Bank

Done fractions total questions - 39.

Question Bank

A)  \[\frac{1}{4}\]                                    done clear

B)  \[\frac{1}{2}\] done clear

C)  \[\frac{3}{4}\]                        done clear

D)           \[\frac{3}{8}\] done clear

A) 2                      done clear

B)          3 done clear

C) 4                      done clear

D)          0 done clear

A) 0                      done clear

C) 2                      done clear

D)          4 done clear

A) A and B    done clear

B)          B and D        done clear

C) E and D           done clear

D)          A and C done clear

A) A                      done clear

B)          B               done clear

C) A and C           done clear

D)          B and D done clear

question_answer 6) \[\frac{1}{4}:\frac{2}{8}::\frac{1}{3}?\]

A)  \[\frac{3}{6}\]                        done clear

B)           \[\frac{2}{6}\] done clear

C)  \[\frac{1}{9}\]                        done clear

D)           \[\frac{2}{9}\] done clear

question_answer 7) \[\frac{3}{4}:\frac{4}{3}::\frac{2}{5}:?\]

A)  \[\frac{5}{2}\]                        done clear

B)           \[\frac{2}{10}\] done clear

C)  \[\frac{5}{10}\]                      done clear

D)           \[\frac{3}{10}\] done clear

question_answer 8) \[\frac{1}{2}:\frac{1}{4}::\frac{1}{5}:?\]

A)  \[\frac{1}{8}\]                        done clear

B)           \[\frac{1}{10}\] done clear

C)  \[\frac{1}{15}\]                      done clear

D)           \[\frac{1}{6}\] done clear

question_answer 9) Which fraction is odd one out? \[\frac{1}{2},\frac{1}{3},\frac{2}{10},\frac{4}{3}\]

A)  \[\frac{1}{2}\]                        done clear

B)           \[\frac{1}{3}\] done clear

C)  \[\frac{1}{5}\]                        done clear

D)           \[\frac{4}{3}\] done clear

question_answer 10) Which fraction is odd one out? \[\frac{3}{6},\frac{2}{4},\frac{3}{5},\frac{4}{10}\]

A)  \[\frac{3}{6}\]                   done clear

B)  \[\frac{2}{4}\]            done clear

C)  \[\frac{3}{5}\]           done clear

D)  \[\frac{4}{10}\] done clear

A. They all get\[\frac{1}{3}\] of the apple
B. Ravi gets a smaller part than Shikha.
 C. Sanjay gets one-third of the apple
 D. Ravi gets one-fourth of the apple.

A) TTFF done clear

B) TTTF done clear

C) FFFT done clear

D) TFTF done clear

A. Suhana colored more than Chavi
B. Chavi colored more than suhana
C. Half of the circle colored by suhana is not colored red
D. One-fifth of the circle colored by Chavi is blue

A) TFTF done clear

B) FTFT done clear

C) TTFF done clear

D) FFTT done clear

A.  \[\frac{1}{2}\] is greater than\[\frac{1}{4}\]
B. \[\frac{1}{2}\]is greater than\[\frac{3}{4}\]
C. \[\frac{1}{4}\]is less than \[\frac{1}{3}\]
D. \[\frac{1}{5}\]is greater than\[\frac{1}{2}\]

A) TFFT  done clear

B) TFTF done clear

D) FTFT done clear

A) A-1          B-2          C-3         D-4 done clear

B) A-4          B-3          C-2         D-1 done clear

C) A-2          B-4          C-1         D-3 done clear

D) A-3          B-1          C-4         D-2 done clear

A) A-3          B-1         C-4         D-2 done clear

B) A-1          B-2         C-3         D-4 done clear

C) A-4          B-3         C-2         D-1 done clear

D) A-2          B-4         C-1         D-3 done clear

question_answer 16) When the fractions \[\frac{7}{10},\frac{1}{10},\frac{4}{10},\]and\[\frac{9}{10}\] are put in order from smallest to largest they would look like:

A)  \[\frac{1}{10},\frac{4}{10},\frac{7}{10},\frac{9}{10}\] done clear

B)           \[\frac{9}{10},\frac{7}{10},\frac{4}{10},\frac{1}{10}\] done clear

C)  \[\frac{1}{10},\frac{7}{10},\frac{4}{10},\frac{1}{10}\] done clear

D)           \[\frac{9}{10},\frac{1}{10},\frac{4}{10},\frac{7}{10}\] done clear

question_answer 17) How many hours are in \[\frac{1}{2}\]of a day?

A) 6 hours            done clear

B)          12 hours done clear

C) 18 hours          done clear

D)          10 hours done clear

question_answer 18) How many months are in\[\frac{1}{4}\]of a year?

A) 2 Months      done clear

B)          4 Months      done clear

C) 3 Months          done clear

D)          6 Months done clear

A) A-3          B-1          C-4         D-2 done clear

B) A-1          B-2          C-3         D-4 done clear

C) A-4          B-3          C-2         D-1 done clear

D) A-2          B-4          C-1         D-3 done clear

question_answer 20) Ajay had 5 blue balls in a bag. He put 3 redder balls in the bag. What fraction of the balls was red?

A)  \[\frac{3}{5}\]                        done clear

B)           \[\frac{3}{8}\] done clear

C)  \[\frac{2}{5}\]                        done clear

D)           \[\frac{5}{8}\] done clear

question_answer 21) There are 12 people standing in a queue at a ticket counter. One-fourth of the people in the queue are women. How many women are standing?

A) 3 women       done clear

B)          4 women       done clear

C) 2 women          done clear

D)          6 women done clear

question_answer 22) There are 10 birds on a branch of tree. One-fifth of the birds flew away. How many birds are left on the branch?

A) 5 birds             done clear

B)          2 birds         done clear

C) 8 birds             done clear

D)          6 birds done clear

question_answer 23) Nisha got 4 pastries from a bakery. She served 2 of them to the guest?s sand kept the remaining in the refrigerator. What fraction of pastries are kept in the refrigerator?

A)  \[\frac{1}{4}\]                        done clear

B)           \[\frac{3}{4}\] done clear

C)  \[\frac{1}{3}\]                        done clear

D)           \[\frac{1}{2}\] done clear

question_answer 24) There are 6 students in a music class. Half of the student is in class 3. What fraction of student are not in class 3?

A)  \[\frac{1}{4}\]                        done clear

B)           \[\frac{1}{2}\] done clear

C)  \[\frac{1}{3}\]                        done clear

D)           \[\frac{1}{5}\] done clear

B)          B done clear

C) C                     done clear

D)          D done clear

A) A                      done clear

B)          B                done clear

question_answer 27) Which number makes the fraction equal?

A) 1                      done clear

B)          2               done clear

C) 3                      done clear

question_answer 28) What is the missing number that completes the pattern of fraction? \[\frac{1}{4}=\frac{2}{8}=\frac{2}{13}=\frac{?}{20}\]

A) 1                      done clear

B)          5 done clear

C) 3                      done clear

D)          6 done clear

A)  \[\frac{3}{12}\]                  done clear

B)  \[\frac{1}{13}\]          done clear

C)  \[\frac{1}{12}\]                 done clear

D)  \[\frac{1}{16}\] done clear

A)  \[\frac{1}{2}\]                        done clear

B)           \[\frac{3}{5}\] done clear

C)  \[\frac{2}{5}\]                        done clear

D)           \[\frac{1}{4}\] done clear

C)  \[\frac{1}{5}\]                        done clear

A) 6 Pencils        done clear

B)          8 Pencils done clear

C) 3 Pencils        done clear

D)          4 Pencils done clear

A) A                      done clear

C) C                     done clear

A) 4                      done clear

C) 6                      done clear

D)          2 done clear

A) 2                      done clear

C) 4                      done clear

D)          1 done clear

A) 2                      done clear

B)          3                done clear

A)  \[\frac{1}{5}\]                        done clear

B)           \[\frac{2}{5}\] done clear

C)  \[\frac{1}{10}\]                      done clear

A)  \[\frac{5}{20}\]                      done clear

B)           \[\frac{7}{20}\] done clear

C)  \[\frac{11}{20}\]                    done clear

D)           \[\frac{13}{20}\] done clear

question_answer 39) Ravi collected 50 stamps and Surya collected one-fifth of them. How many stamps does Ravi and Surya have in all?

A) 60 stamps        done clear

B) 10 stamps      done clear

C) 40 stamps        done clear

D)          20 stamps done clear

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CBSE Class 9 Maths Case Study Questions PDF Download

Download Class 9 Maths Case Study Questions to prepare for the upcoming CBSE Class 9 Exams 2023-24. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams.

maths case study questions for grade 3

Case study questions play a pivotal role in enhancing students’ problem-solving skills. By presenting real-life scenarios, these questions encourage students to think beyond textbook formulas and apply mathematical concepts to practical situations. This approach not only strengthens their understanding of mathematical concepts but also develops their analytical thinking abilities.

Table of Contents

CBSE Class 9th MATHS: Chapterwise Case Study Questions

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked. For Class 9 Maths Case Study Questions, there would be 5 case-based sub-part questions, wherein a student has to attempt 4 sub-part questions.

Class 9 Maths Case Study Questions

Chapterwise Case Study Questions of Class 9 Maths

  • Case Study Questions for Chapter 1 Number System
  • Case Study Questions for Chapter 2 Polynomials
  • Case Study Questions for Chapter 3 Coordinate Geometry
  • Case Study Questions for Chapter 4 Linear Equations in Two Variables
  • Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
  • Case Study Questions for Chapter 6 Lines and Angles
  • Case Study Questions for Chapter 7 Triangles
  • Case Study Questions for Chapter 8 Quadrilaterals
  • Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
  • Case Study Questions for Chapter 10 Circles
  • Case Study Questions for Chapter 11 Constructions
  • Case Study Questions for Chapter 12 Heron’s Formula
  • Case Study Questions for Chapter 13 Surface Area and Volumes
  • Case Study Questions for Chapter 14 Statistics
  • Case Study Questions for Chapter 15 Probability

Checkout: Class 9 Science Case Study Questions

And for mathematical calculations, tap Math Calculators which are freely proposed to make use of by calculator-online.net

The above  Class 9 Maths Case Study Question s will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Study Questions have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

Class 9 Maths Syllabus 2023-24

maths case study questions for grade 3

UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS (18 Periods)

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type

jagran josh

(and their combinations) where x and y are natural number and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT II: ALGEBRA

1. POLYNOMIALS (26 Periods)

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities:

RELATED STORIES

jagran josh

and their use in factorization of polynomials.

2. LINEAR EQUATIONS IN TWO VARIABLES (16 Periods)

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY COORDINATE GEOMETRY (7 Periods)

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT IV: GEOMETRY

1. INTRODUCTION TO EUCLID’S GEOMETRY (7 Periods)

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them. (Theorem)

2. (Prove) Two distinct lines cannot have more than one point in common.

2. LINES AND ANGLES (15 Periods)

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Lines which are parallel to a given line are parallel.

3. TRIANGLES (22 Periods)

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

4. QUADRILATERALS (13 Periods)

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

5. CIRCLES (17 Periods)

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

UNIT V: MENSURATION 1.

1. AREAS (5 Periods)

Area of a triangle using Heron’s formula (without proof)

2. SURFACE AREAS AND VOLUMES (17 Periods)

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT VI: STATISTICS & PROBABILITY

STATISTICS (15 Periods)

 Bar graphs, histograms (with varying base lengths), and frequency polygons.

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Benefits of Practicing CBSE Class 9 Maths Case Study Questions

Regular practice of CBSE Class 9 Maths case study questions offers several benefits to students. Some of the key advantages include:

  • Deeper Understanding : Case study questions foster a deeper understanding of mathematical concepts by connecting them to real-world scenarios. This improves retention and comprehension.
  • Practical Application : Students learn to apply mathematical concepts to practical situations, preparing them for real-life problem-solving beyond the classroom.
  • Critical Thinking : Case study questions require students to think critically, analyze data, and devise appropriate solutions. This nurtures their critical thinking abilities, which are valuable in various academic and professional domains.
  • Exam Readiness : By practicing case study questions, students become familiar with the question format and gain confidence in their problem-solving abilities. This enhances their readiness for CBSE Class 9 Maths exams.
  • Holistic Development: Solving case study questions cultivates not only mathematical skills but also essential life skills like analytical thinking, decision-making, and effective communication.

Tips to Solve CBSE Class 9 Maths Case Study Questions Effectively

Solving case study questions can be challenging, but with the right approach, you can excel. Here are some tips to enhance your problem-solving skills:

  • Read the case study thoroughly and understand the problem statement before attempting to solve it.
  • Identify the relevant data and extract the necessary information for your solution.
  • Break down complex problems into smaller, manageable parts to simplify the solution process.
  • Apply the appropriate mathematical concepts and formulas, ensuring a solid understanding of their principles.
  • Clearly communicate your solution approach, including the steps followed, calculations made, and reasoning behind your choices.
  • Practice regularly to familiarize yourself with different types of case study questions and enhance your problem-solving speed.Class 9 Maths Case Study Questions

Remember, solving case study questions is not just about finding the correct answer but also about demonstrating a logical and systematic approach. Now, let’s explore some resources that can aid your preparation for CBSE Class 9 Maths case study questions.

Q1. Are case study questions included in the Class 9 Maths Case Study Questions syllabus?

Yes, case study questions are an integral part of the CBSE Class 9 Maths syllabus. They are designed to enhance problem-solving skills and encourage the application of mathematical concepts to real-life scenarios.

Q2. How can solving case study questions benefit students ?

Solving case study questions enhances students’ problem-solving skills, analytical thinking, and decision-making abilities. It also bridges the gap between theoretical knowledge and practical application, making mathematics more relevant and engaging.

Q3. How do case study questions help in exam preparation?

Case study questions help in exam preparation by familiarizing students with the question format, improving analytical thinking skills, and developing a systematic approach to problem-solving. Regular practice of case study questions enhances exam readiness and boosts confidence in solving such questions.

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maths case study questions for grade 3

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Israel says it killed a Hezbollah commander , Fuad Shukr, in an airstrike near Beirut.

The Israeli military blamed Mr. Shukr for an assault on Saturday that killed 12 children and teenagers in the Israeli-controlled Golan Heights.

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  1. ️Grade 3 Math Olympiad Worksheets Free Download| Gmbar.co

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  6. CASE STUDY BASED QUESTIONS CLASS 10 MATHS CHAPTER-3

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COMMENTS

  1. PDF Grade 3 / Case Study 1: MATH / English Learner

    Student Response to Item 1. Analysis of Response to Item 1. The student's response to the first item of the task earns full credit (1 out of 1 possible point). The student accurately selected both of the days that the 3rd grade class collected more bottles and cans than the other grades. Item 2. Use Table 1 to help you answer this question.

  2. PDF Case Study #2 Grade Three: Math Concepts/Applications

    The third-grade Math CBM Concepts and Application probes consist of 24 applied math problems representing the year-long, third-grade math applied problems curriculum. Each test is 3 pages long. The type of problems represented on each test remains constant from test to test.

  3. Classroom Case Studies, 3-5

    Classroom Case Studies, 3-5. Watch this program in the 10th session for grade 3-5 teachers. Explore how the concepts developed in this course can be applied through case studies of grade 3-5 teachers (former course participants) who have adapted their new knowledge to their classrooms. In This Session: Part A: Observing a Case Study.

  4. PDF The Case Studies and Mathematics

    In the Case Studies, as in life, the situations are unstructured and the problems that arise have many alternative solutions. Pupils need to learn to represent and then analyse such situations using mathematics, interpret and evaluate the results, and communicate and reflect on their findings. This module is designed to help you consider how ...

  5. 35 Math Problems for 3rd Graders

    This list of 3rd grade math problems is intended to reinforce concepts students have already been taught. The list is divided into sections: addition, subtraction, multiplication, division, fractions, measurement, and multi-step problems. These sections allow students to specifically focus their practice, but feel free to skip around and choose ...

  6. CBSE Class 10 Maths Case Study : Case Study With Solutions

    CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths.

  7. Question Bank for 3rd Class Mathematics

    Select Chapter. Computation Operations 1 Numbers 3 Logical Reasoning 1 Geometry 3 Addition and Subtraction 2 Fun with Numbers-973 1 Data Handling 3 Measurement Length, Weight and Capacity 8 Calendar 4 Unitary Method 1 Shapes and Patterns 2 Money 5 Multiplication 4 Pictograph 2 Division 3 Points, Lines and Rays 1 Fractions 5 Playing with Numbers ...

  8. 3rd grade

    3rd grade 14 units · 141 skills. Unit 1 Intro to multiplication. Unit 2 1-digit multiplication. Unit 3 Addition, subtraction, and estimation. Unit 4 Intro to division. Unit 5 Understand fractions. Unit 6 Equivalent fractions and comparing fractions. Unit 7 More with multiplication and division. Unit 8 Arithmetic patterns and problem solving.

  9. Classroom Case Studies, Grades 3-5

    Classroom Case Studies, Grades 3-5. Explore how the concepts developed in this course can be applied through case studies of a grade 3-5 teacher, Suzanne L'Esperance and grade 6-8 teacher, Paul Snowden, both former course participants who have adapted their new knowledge to their classrooms. This is the final session of the Data Analysis ...

  10. Class 9 Maths Case Study Questions Chapter 3 Coordinate Geometry

    Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 3 Coordinate Geometry. Case Study/Passage-Based Questions. Case Study 1: Alia and Shagun are friends living on the same street in Patel Nagar. Shogun's house is at the intersection of one street with another street on which there is a library.

  11. Case Study Questions for Class 11 Maths Chapter 3 Trigonometric

    Case study questions typically involve a real-world situation that requires students to identify the problem or issue, analyze the relevant information, and apply their understanding of the relevant concepts to propose a solution or answer a question. These questions may involve multiple steps and require students to think critically, apply ...

  12. Classroom Case Studies, 3-5

    Watch this program in the 10th session for grade 3-5 teachers. Explore how the concepts developed in this course can be applied through case studies of grade 3-5 teachers (former course participants who have adapted their new knowledge to their classrooms), as well as a set of typical measurement problems for grade 3-5 students. View Transcript.

  13. CBSE Class 10 Maths Case Study Questions for Chapter 3

    CBSE's question bank on case study for Class 10 Maths Chapter 3 is available here. These questions will be very helpful to prepare for the CBSE Class 10 Maths Exam 2022. By Gurmeet Kaur

  14. PDF Real Numbers- Case Study Case Study 1

    REAL NUMBERS- CASE STUDYCASE STUDY 1.To enhance the reading skills of grade X students, the school nominates you and two of. our friends to set up a class library. There are two sectio. s- section A and section B of grade X. There are 32 students. ection A and 36 students in sectionB.What is the minimum number of books you will acquire for the ...

  15. Third grade math worksheets

    K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. 3rd grade math worksheets: Addition, subtraction, place value, rounding, multiplication, division, fractions, decimals , time & calander, counting money, roman numerals, order ...

  16. 3rd Class Mathematics Addition and Subtraction Question Bank

    Free Question Bank for 3rd Class Mathematics Addition and Subtraction Addition and Subtraction. Customer Care : 6267349244. ... Study the pattern and fill the missing term. A) 25 done clear. B) 26 done clear. C) 27 ... 10's and ones should be added to get the smallest 3-digit number are ____ respectively. A) 0, ...

  17. CBSE Class 10 Maths Case Study Questions PDF

    These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 10 so that they can score 100% on Boards. CBSE Class 10 Mathematics Exam 2024 will have a set of questions based on case studies in the form of MCQs. The CBSE Class 10 Mathematics Question Bank on Case Studies, provided in ...

  18. Class 3 Fractions

    Example 1: As we know that 1 /2 is a fraction where 1 is the numerator and 2 is the denominator and the whole ½ is called a fraction. Types of Fractions. There are three types of fractions: Proper Fraction: Fraction whose numerator is less than the denominator is called a proper fraction. Example 2: 3/4, 7/8, 2/5, 5/7, etc.

  19. CBSE Class 9 Mathematics Case Study Questions

    Class 9 Mathematics Case study question 2. Read the Source/Text given below and answer any four questions: Maths teacher draws a straight line AB shown on the blackboard as per the following figure. Now he told Raju to draw another line CD as in the figure. The teacher told Ajay to mark ∠ AOD as 2z.

  20. 3rd Class Mathematics Fractions Question Bank

    Free Question Bank for 3rd Class Mathematics Fractions Fractions. Customer Care : 6267349244. Toggle navigation 0 . 0 ... done Fractions Total Questions - 39. question_answer1) ... Study Package. Question - Fractions. Buy Now.

  21. CBSE Class 9 Maths Case Study Questions PDF Download

    Download Class 9 Maths Case Study Questions to prepare for the upcoming CBSE Class 9 Exams 2023-24. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams. Case study questions play a pivotal role in enhancing students' problem-solving skills.

  22. Class 3

    Unit 3. Find the missing number (add and subtract within 1000) Addition and subtraction with regrouping: Unit test. Unit 4. Unit 5. Multiplication and division word problems (within 100) Unit 6. This unit's exercises do not count toward course mastery.

  23. An Escalating War in the Middle East

    Tensions are on a knife edge after Israel carried out a strike on the Hezbollah leader allegedly behind an attack in the Golan Heights.