problem solving questions year 6 maths

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Year 6 Maths Worksheets UK Hub Page

Welcome to our Year 6 Maths Worksheets area.

Here you will find a wide range of free printable Year 6 Maths Worksheets for your child to enjoy.

Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 6 Maths Learning

Here are some of the key learning objectives for the end of Year 6:

• know and use Place value up to 10 million
• Counting on and back in steps of powers of 10 from any number up to 10 million
• Round numbers to any given degree of accuracy.
• Count forwards and backwards through zero with positive and negative numbers.
• Read Roman numerals to 1000 and recognise years written in Roman numerals
• solve multi-step problems using addition and subtraction in a range of contexts
• identify multiples and factors including common factors
• multiply and divide up to 4-digit numbers by up to 2 digits
• Use their knowledge of the order of operations to carry out calculations involving the four operations.
• Identify common factors, common multiples and prime numbers.
• solve problems involving addition, subtraction, multiplication and division
• simplify fractions
• compare and order fractions including mixed numbers
• add and subtract fractions with different denominators including mixed numbers
• multiply simple fractions together and simplify the answer
• divide proper fractions by whole numbers
• recall and use equivalence between simple fractions, decimals and percentages.
• Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
• read, write, order and compare numbers up to 3dp
• round decimals with up to 3dp to the nearest whole
• solve problems with numbers up to 3dp
• work out percentages of different amounts
• solve problems using percentages
• use simple formulae
• express missing number problems using algebra
• find pairs of numbers that satisfy equations with two variables
• solve problems involving simple ratios
• solve problems involving similar shapes where the scale factor is known
• use, read, write and convert between standard units of measure
• measure, compare and calculate using different measures
• know that shapes with the same area can have different perimeters
• find the area of parallelograms and right triangles
• find the volume of cubes and cuboids
• convert between miles and km
• name and understand the parts of circles - radius, diameter and circumference
• draw 2D shapes accurately using dimensions and angles
• compate and classify 2D shapes by a range of properties
• find missing angles in triangles, quadrilaterals and regular shapes
• use coordinates in all 4 quadrants
• draw and translate simple shapes in all 4 quadrants
• interpret and construct pie charts and line graphs
• calculate the mean as an average

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 6 is generally equivalent to 5th Grade in the US.

On this page you will find link to our range of math worksheets for Year 6.

Quicklinks to Year 6 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions percents ratio zone.

• Percentages Zone
• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 6 number worksheets.

Here you will find a range of Free Printable Year 6 Number Worksheets.

Using these Year 6 maths worksheets will help your child to:

• use place value with numbers up to 10 million;
• use place value with up to 3 decimal places;
• understand how to use exponents (powers) of a number;
• understand and use parentheses (brackets);
• understand and use multiples and factors;
• extend their knowledge of prime and composite (non-prime) numbers up to 100;
• know and be able to use the PEMDAS (or PEDMAS) rule.
• Place Value Worksheets to 10 million
• Place Value to 3dp
• Ordering Decimals Worksheets
• PEMDAS Rule Support Page
• PEMDAS Problems Worksheets
• Balancing Math Equations
• Roman Numerals worksheets

Ordering Large Numbers and Decimals to 3dp

The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.

There are sheets with decimals up to 10, and also sheets with numbers from -10 to 10.

• Ordering Large Numbers up to 100 million
• Ordering Decimals to 3dp

Rounding Decimals

• Rounding to the nearest tenth
• Rounding Decimal Places Sheets to 2dp
• Rounding Decimals Worksheet Challenges

Year 6 Decimal Counting Worksheets

Using these sheets will support you child to:

• count on and back by multiples of 0.1;
• fill in the missing numbers in sequences;
• count on and back into negative numbers.
• Counting By Decimals

Year 6 Mental Maths Zone

Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math quiz!

• Year 6 Mental Maths Tests

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Year 6 Addition Worksheets

• add decimals including tenths and hundredths mentally;
• add a columns of multi-digit numbers, including decimals.
• Decimal Addition Fact Worksheets
• 5th Grade Addition Worksheets BIG Numbers
• Decimal Column Addition Worksheets
• Money Worksheets (randomly generated)

Year 6 Subtraction Worksheets

Using these sheets will help your child to:

• subtract decimals including tenths and hundredths mentally;
• subtract multi-digit numbers, including decimals using column subtraction.
• Subtracting Decimals Worksheets (mental)
• Subtraction Worksheets up to Billions (columns)
• Column Subtraction with Decimals

Year 6 Multiplication Worksheets

• extend their knowlege of multiplication to decimals;
• use their multiplication tables to answer related facts, including decimals;
• multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
• multiply different money amounts by a whole number.
• Multiplying Decimals by 10 and 100
• Multiplication Fact Sheet Decimals
• Decimal Multiplication Worksheets to 1dp
• Decimal Multiplication Worksheets to 2dp
• Free Multiplication Worksheets (randomly generated)
• Multiply and Divide by 10 100 (decimals)
• Multiplication & Division Worksheets (randomly generated)
• Multiplication Word Problems

Division Worksheets 5th Grade

Using these Year 6 maths worksheets will help your child learn to:

• divide any whole number up to 10000 by a two digit number;
• express any division with a remainder in the form of a mixed number (a number with a fraction part).
• Long Division Worksheets (whole numbers)
• Long Division of Decimal Numbers
• Decimal Division Facts
• Division Facts Worksheets (randomly generated)

Year 6 Maths Problems

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of problems including "real life" problems and ratio problems.

These sheets involve solving one or two more challenging longer problems.

• Year 6 Math Problems (5th Grade)

These sheets involve solving many 'real-life' problems involving data.

• Year 6 Math Word Problems (5th Grade)

These sheets involve solving a range of ratio problems.

Year 6 Fraction Worksheets

Year 6 percentage worksheets, year 6 ratio worksheets.

• compare and order fractions;
• add and subtract fractions and mixed numbers;
• understand how to multiply fractions by a whole number;
• understand how to multiply two fractions together, including mixed fractions;
• understand the relationship between fractions and division;
• know how to divide fractions and mixed fractions;
• convert decimals to fractions.
• Comparing Fractions Worksheet page
• Adding Fractions Worksheets
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Improper Fraction Worksheets
• Converting Decimals to Fractions Worksheets
• Fractions Decimals Percents Worksheets
• Multiplying Fractions Worksheets
• Dividing Fractions by Whole numbers
• Divide Whole numbers by Fractions
• Simplifying Fractions Worksheets
• Free Printable Fraction Riddles (harder)

Take a look at our percentage worksheets for finding the percentage of a number or money amount.

We have a range of percentage sheets from quite a basic level to much harder.

• Percentage of Numbers Worksheets
• Money Percentage Worksheets
• Percentage Word Problems

These Year 6 Ratio worksheets are a great way to introduce this concept.

We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.

• Ratio Part to Part Worksheets
• Ratio and Proportion Worksheets

Year 6 Geometry Worksheets

• know how to find missing angles in a range of situations;
• learn the number of degrees in a right angle, straight line, around a point and in a triangle;
• know how to calculate the area of a triangle;
• know how to calculate the area of a range of quadrilaterals.
• learn the formulas to calculate the area of triangles and some quadrilaterals;
• write and plot coordinates in all 4 quadrants.
• (5th Grade) Geometry - Angles
• Area of Quadrilaterals
• 5th Grade Volume Worksheets
• Coordinate Worksheets (1st Quadrant)
• Coordinate Plane Worksheets (All 4 Quadrants)
• Parts of a Circle Worksheets

Measurement Zone, including Time & Money

Year 6 measurement worksheets.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid;
• convert temperatures in Celsius and Fahrenheit.
• (5th Grade) Measurement Worksheets

Time Puzzles - harder

Here you will find our selection of harder time puzzles.

• Time Word Problems Worksheets - Riddles (harder)

Using these sheets will help you to:

• find the mean of up to 5 numbers;
• find a missing data point when the mean is given.
• Mean Worksheets

Fun Zone: Puzzles, Games and Riddles

Year 6 maths games.

• Year 6 Math Games (5th Grade)

Year 6 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division facts as well as developing their thinking and reasoning skills in a fun and engaging way.

• Printable Math Puzzles

Math Salamanders Year 6 Maths Games Ebook

Our Year 6 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store - use the link below to find out more!

• Year 6 Maths Games Ebook

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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35 year 6 maths questions

Practise 35 year 6 maths questions that will help your child stay on track!

Author Amber Watkins

Published February 2024

• Key takeaways
• Year 6 maths word problems help students apply mathematical concepts to real-world scenarios.
• In year 6 maths, it’s important to master fractions, decimals, and order of operations.
• Hard problems  can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

• Word problems

Numbers & place value

Multiplication.

If this maths page has 5 sections of maths questions  with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems . Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

Year 6 maths word problems

Let’s begin by covering maths word problems.

Mia’s water bottle can hold 300 millilitres of water. She drinks two and a half water bottles each day. How many total millilitres of water does Mia drink each day? 

The playground is made up of four rectangular lots that are each 10 metres by 7 metres. What is the total area of the playground?

 Josh lives 2.5 kilometres away from the park. Josh rides his bike to the park and back home four days a week. How many kilometres does Josh ride his bike each week?

Since we are solving word problems, a word should always be in our answer.

In this section, we will cover maths questions that use place values, word form to standard form, standard form to word form, and expanded form.

Place value

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

In this section, we will cover year six maths questions that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review maths questionss for year six that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations.

Adding and subtracting whole numbers by transformation

A large portion of year 6 maths problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practise adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50 

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate! 

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320- 200 = 120 The answer is 120

Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

Remember that the steps Multiply or Divide can be done in any order. Also, the steps Add or Subtract can be done in any order, do the operation that comes first.

Some of the hardest maths questions involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practise a few of each!

Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

Multiplying fractions using a number line

For more maths practice for year 6 , our app for maths help provides year 6 maths help in a way that makes maths fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on maths topics they struggle with. Check it out today !

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Word problem answer sheet

Mia drinks 750 millilitres  of water each day.

Explanation: 300 x 2 = 600. 300 / 2 = 150. 600 + 150 = 750.

280 square metres.

Explanation: The area of one lot is 10 x 7 = 70 metres. Take that area and times it by four, so 70 x 4 = 280 metres.

Josh rides 20 kilometres on his bike each week.

Explanation: Each day Josh rides 5 total kilometres: 2.5 kilometres to the park and 2.5 kilometres back home. If we multiply that number by 4 days a week, it equals 20 kilometres in all.

Writing numbers answer sheet

2 is in the hundreds place.

0 is in the tens place.

2 is in the ones place.

Division using area models answer sheet

Multiplying using square models answer sheet

Multiplying fractions and whole numbers using expanded form answer sheet

Multiplying fractions using a number line answer sheet

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓. 

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring students in maths. "Knowing that my work in maths education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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Please use the search bar to filter and find the learning objective required.

Welcome to the Year 6 Mini-Maths homepage. Daily maths questions for Year 6 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free tasks and activities are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find the outcomes you require.

It is recommended that a topic is selected per week and daily maths tasks accessed using the links provided below. Use each day’s answers to help identify and guide the required support in preparation for the following day’s task. Watch your understanding, application and confidence grow throughout the week. New resources are always being added, so keep checking for updates.

More about Year 6 Maths Questions …

The Year 6 curriculum completes the Key Stage 2 maths programme of learning bringing understanding and confidence together from Year 3 through to the end of Year 6. This journey culminates in the KS2 SATs assessments where learners are able to demonstrate their progress and development in the subject.

Year 6 NUMBER …

The four operations reach a natural conclusion in Year 6 – addition, subtraction, multiplication and division involve more complex examples before introducing decimals values . Learners are looking to extend their understanding of units, tens, hundreds, thousands, etc, with the Place value of digits in decimal places, supporting the wider curriculum such as calculating decimal remainders using short division.

Year 6 SHAPE …

Learners have been developing a sound understanding of 2D shape and 3D shape allowing them to sort and classify by their properties. Being able to identify and use these properties also improves an awareness of a shape’s area and perimeter or volume .

Year 6 DATA …

Year 5 offers further coverage of tables, charts and graphs, where learners are expected to both read and interpret information in all types of graphs and charts including pie charts . Drawing graphs and charts from given data is also introduced in Year 6 maths.

All learning objectives are supported by a Home Learning pack and iQ mastery questions challenge learners’ understanding, application and confidence. The Home Learning packs provide first class opportunities for effective intervention and an ever growing library of help videos for Year 6 maths is available on the MyMiniMaths YouTube channel in support of quality learning.

Year 6 SATs …

MyMiniMaths also offers specialised support for Year 6 SATs with a programme of practice KS2 SATs papers for the arithmetic paper . Easy identification of key skills in need of further support to maximise attainment is available through the Arithmetic Target Questions .

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Resources tagged with: NC Yr 6

There are 50 NRICH Mathematical resources connected to NC Yr 6 , you may find related items under NC .

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Different Deductions

There are lots of different methods to find out what the shapes are worth - how many can you find?

Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Number Lines in Disguise

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Price Match

Can you find pairs of differently sized windows that cost the same?

Finding 3D Stacks

Can you find a way of counting the spheres in these arrangements?

Extending Fraction Bars

Can you compare these bars with each other and express their lengths as fractions of the black bar?

More Fraction Bars

What fraction of the black bar are the other bars? Have a go at this challenging task!

Always, Sometimes or Never? Shape

Are these statements always true, sometimes true or never true?

Always, Sometimes or Never? Number

Round the Three Dice

What happens when you round these three-digit numbers to the nearest 100?

Round the Four Dice

This activity involves rounding four-digit numbers to the nearest thousand.

Use the information on these cards to draw the shape that is being described.

Dicey Perimeter, Dicey Area

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

Domino Sets

How do you know if your set of dominoes is complete?

Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

So It's Times!

How will you decide which way of flipping over and/or turning the grid will give you the highest total?

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Button-up Some More

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Counting Cogs

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Doughnut Percents

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

What can you see? What do you notice? What questions can you ask?

Treasure Hunt

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Factor-multiple Chains

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

Fraction Fascination

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

Diagonal Sums

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Ten Hidden Squares

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

Orange Drink

A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Factor Lines

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Would You Rather?

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Plenty of Pens

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

Mystery Matrix

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

The Moons of Vuvv

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Where Are They?

Use the isometric grid paper to find the different polygons.

Rectangle Tangle

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Pumpkin Pie Problem

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

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Daily Math Word Problems - Grade 6 (Worksheets)

Updated:  17 Apr 2024

A set of 20 problem-solving questions suited to grade 6 students.

Non-Editable:  PDF

Pages:  6 Pages

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This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.

It provides students with the opportunity to work through 20 math word problems , identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included.

Use this resource in conjunction with the Daily Math Problems PowerPoint :

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Year 6 maths

IXL offers hundreds of year 6 maths skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, territory curriculum, or standardized test.

A. Whole numbers

• 1 Place values in whole numbers
• 2 Word names for numbers
• 3 Roman numerals

B. Multiplication

• 1 Multiply using area models I
• 2 Multiply using area models II
• 3 Multiply using the distributive property
• 4 Lattice multiplication
• 5 Multiply whole numbers
• 6 Multiply whole numbers: word problems
• 7 Multiply numbers ending in zeroes
• 8 Multiply numbers ending in zeroes: word problems
• 9 Multiply three or more numbers
• 10 Multiply three or more numbers: word problems
• 11 Estimate products
• 12 Properties of multiplication
• 13 Solve using properties of multiplication

C. Division

• 1 Divisibility rules
• 2 Divide by two-digit numbers
• 3 Divide by two-digit numbers: word problems
• 4 Division patterns with zeroes
• 5 Divide numbers ending in zeroes: word problems
• 6 Estimate quotients using compatible numbers
• 7 Estimate quotients

D. Exponents

• 1 Write multiplication expressions using exponents
• 2 Evaluate powers
• 3 Find the missing exponent or base

E. Number theory

• 1 Prime or composite
• 2 Identify factors
• 3 Prime factorisation
• 4 Prime factorisation with exponents
• 5 Highest common factor
• 6 Lowest common multiple
• 7 HCF and LCM: word problems
• 8 Square numbers

F. Decimals

• 1 What decimal number is illustrated?
• 2 Decimal place values
• 3 Word names for decimal numbers
• 4 Put decimal numbers in order
• 5 Inequalities with decimals
• 6 Round decimals
• 7 Round whole numbers and decimals: find the missing digit
• 8 Decimal number lines

G. Addition and subtraction

• 1 Add and subtract whole numbers up to millions
• 2 Add and subtract whole numbers: word problems
• 3 Properties of addition
• 4 Estimate sums and differences of whole numbers
• 5 Estimate sums and differences: word problems
• 6 Add decimal numbers
• 7 Subtract decimal numbers
• 8 Add and subtract decimal numbers
• 9 Add and subtract decimals: word problems
• 10 Estimate sums and differences of decimals using rounding
• 11 Estimate sums and differences of decimals using benchmarks
• 12 Maps with decimal distances

H. Multiply and divide decimals

• 1 Multiply a decimal by a power of ten
• 2 Multiply a decimal by a one-digit number using the distributive property
• 3 Multiply a decimal by a one-digit whole number
• 4 Multiply a decimal by a two-digit number using area models
• 5 Multiply a decimal by a multi-digit whole number
• 6 Multiply decimals and whole numbers: word problems
• 7 Multiply two decimals
• 8 Estimate products of decimal numbers
• 9 Inequalities with decimal multiplication
• 10 Divide decimals by powers of ten
• 11 Decimal division patterns over increasing place values
• 12 Divide a decimal by a power of ten: find the missing number
• 13 Divide decimals using area models: complete the equation
• 14 Divide decimals by whole numbers
• 15 Divide decimals by whole numbers: word problems

I. Fractions and mixed numbers

• 1 Fractions and mixed numbers review
• 2 Understanding fractions: word problems
• 3 Find equivalent fractions using area models
• 4 Graph equivalent fractions on number lines
• 5 Equivalent fractions
• 6 Write fractions in lowest terms
• 7 Fractions: word problems
• 8 Lowest common denominator
• 9 Graph and compare fractions on number lines
• 10 Compare fractions with like and unlike denominators
• 11 Compare fractions: word problems
• 12 Convert between improper fractions and mixed numbers
• 13 Convert fractions or mixed numbers to decimals
• 14 Convert decimals to fractions or mixed numbers
• 15 Convert between decimals and fractions or mixed numbers
• 16 Put a mix of decimals, fractions and mixed numbers in order

J. Add and subtract fractions

• 1 Add and subtract fractions with like denominators using number lines
• 2 Add and subtract fractions with like denominators
• 3 Add and subtract fractions with like denominators: word problems
• 4 Inequalities with addition and subtraction of like fractions
• 5 Add fractions with unlike denominators using models
• 6 Add fractions with unlike denominators
• 7 Subtract fractions with unlike denominators using models
• 8 Subtract fractions with unlike denominators
• 9 Add and subtract fractions with unlike denominators: word problems
• 10 Estimate sums and differences of fractions using benchmarks
• 11 Add and subtract mixed numbers with like denominators
• 12 Add and subtract mixed numbers with unlike denominators
• 13 Add and subtract mixed numbers with like or unlike denominators: word problems
• 14 Estimate sums and differences of mixed numbers

K. Multiply fractions

• 1 Fractions of a number
• 2 Fractions of a number: word problems
• 3 Multiply unit fractions by whole numbers using number lines
• 4 Multiples of fractions
• 5 Multiply fractions by whole numbers using number lines
• 6 Multiply fractions by whole numbers I
• 7 Multiply fractions by whole numbers II
• 8 Estimate products of fractions and whole numbers
• 9 Multiply fractions by whole numbers: input/output tables
• 10 Multiply mixed numbers and whole numbers

L. Integers

• 1 Understanding integers
• 2 Integers on number lines
• 3 Graph integers on horizontal and vertical number lines
• 4 Compare and order integers using number lines
• 5 Compare integers
• 6 Put integers in order
• 7 Add integers using number lines
• 8 Subtract integers using number lines

M. Mixed operations

• 1 Add, subtract, multiply or divide two whole numbers
• 2 Add, subtract, multiply or divide two whole numbers: word problems
• 3 Evaluate numerical expressions
• 4 Evaluate numerical expressions with brackets
• 5 Identify mistakes involving the order of operations
• 6 Evaluate numerical expressions with brackets in different places
• 7 Add, subtract, multiply or divide two decimals
• 8 Add, subtract, multiply or divide two decimals: word problems
• 9 Evaluate numerical expressions involving decimals
• 10 Add, subtract or multiply two fractions
• 11 Add, subtract or multiply two fractions: word problems

N. Problem solving and estimation

• 1 Estimate to solve word problems
• 2 Multi-step word problems
• 3 Word problems with extra or missing information
• 4 Guess-and-check word problems
• 5 Distance/direction to starting point
• 6 Use logical reasoning to find the order

O. Ratios and rates

• 1 Write a ratio
• 2 Write a ratio: word problems
• 3 Identify equivalent ratios
• 4 Write an equivalent ratio
• 5 Unit rates and equivalent rates

P. Percents

• 1 What percentage is illustrated?
• 2 Convert fractions to percents using grid models
• 3 Convert between percents, fractions and decimals
• 4 Convert between percents, fractions and decimals: word problems
• 5 Compare percents to each other and to fractions
• 6 Compare percents and fractions: word problems
• 7 Estimate percents of numbers
• 8 Percents of numbers and money amounts
• 9 Percents of numbers: word problems
• 10 Find what percent one number is of another
• 11 Find what percent one number is of another: word problems

Q. Units of measurement

• 1 Estimate metric measurements
• 2 Convert and compare metric units of length
• 3 Convert and compare metric units of mass
• 4 Convert and compare metric units of volume
• 5 Convert and compare metric units
• 6 Convert metric units involving decimals
• 7 Conversion tables
• 8 Metric mixed units
• 9 Convert between cubic centimetres, millilitres and litres
• 10 Convert between square metres and hectares
• 11 Compare temperatures above and below zero
• 1 Find the number of each type of coin
• 2 Add and subtract money amounts
• 3 Add and subtract money amounts: word problems
• 4 Multiply money by whole numbers
• 5 Multiply money: word problems
• 6 Divide money amounts
• 7 Divide money amounts: word problems

S. Consumer maths

• 1 Which is the better coupon?
• 2 Unit prices
• 3 Unit prices with fractions and decimals
• 4 Sale prices
• 1 Elapsed time
• 2 Elapsed time: word problems
• 3 Find start and end times
• 4 Time units
• 5 Convert between 12-hour and 24-hour time
• 6 Reading schedules
• 7 Transportation schedules

U. Coordinate plane

• 1 Objects on a coordinate plane - first quadrant only
• 2 Objects on a coordinate plane - all four quadrants
• 3 Graph points on a coordinate plane
• 4 Quadrants
• 5 Coordinate planes as maps
• 6 Follow directions on a coordinate plane

V. Number sequences

• 1 Arithmetic sequences with whole numbers
• 2 Arithmetic sequences with decimals
• 3 Arithmetic sequences with fractions
• 4 Complete an increasing number sequence
• 5 Complete a geometric number sequence
• 6 Use a rule to complete a number sequence
• 7 Identify mistakes in number patterns
• 8 Number sequences: word problems
• 9 Number sequences: mixed review
• 10 Shape patterns

W. Variable expressions

• 1 Write variable expressions
• 2 Write variable expressions: word problems
• 3 Evaluate variable expressions with whole numbers
• 4 Identify terms and coefficients

X. One-variable equations

• 1 Does x satisfy an equation?
• 2 Which x satisfies an equation?
• 3 Write an equation from words
• 4 Model and solve equations using algebra tiles
• 5 Write and solve equations that represent diagrams
• 6 Solve one-step equations with whole numbers
• 7 Solve one-step equations: word problems

Y. Two-dimensional figures

• 1 Identify and classify polygons
• 2 Measure and classify angles
• 3 Find a missing angle - adjacent angles
• 4 Estimate angle measurements
• 5 Name angles
• 6 Identify complementary, supplementary, vertical, adjacent and congruent angles
• 7 Find measures of complementary, supplementary, vertical and adjacent angles
• 8 Transversal of parallel lines

Z. Symmetry and transformations

• 2 Reflection, rotation and translation
• 3 Translations: graph the image
• 4 Reflections: graph the image
• 5 Rotations: graph the image
• 6 Sequences of transformations: graph the image

AA. Three-dimensional figures

• 1 Identify polyhedra
• 2 Which figure is being described?
• 3 Nets of three-dimensional figures
• 4 Front, side and top view
• 5 Cross sections of three-dimensional figures

BB. Geometric measurement

• 1 Perimeter
• 2 Area of squares and rectangles
• 3 Area and perimeter of figures on grids
• 4 Area and perimeter: word problems
• 5 Rectangles: relationship between perimeter and area
• 6 Compare area and perimeter of two figures

CC. Data and graphs

• 1 Interpret picture graphs
• 2 Create picture graphs
• 3 Interpret dot plots
• 4 Create dot plots
• 5 Interpret stem-and-leaf plots
• 6 Create stem-and-leaf plots
• 7 Create frequency tables
• 8 Interpret bar graphs
• 9 Create bar graphs
• 10 Interpret double bar graphs
• 11 Create double bar graphs
• 12 Circle graphs with fractions
• 13 Interpret line graphs
• 14 Create line graphs
• 15 Interpret double line graphs
• 16 Create double line graphs
• 17 Choose the best type of graph

DD. Statistics

• 1 Calculate the mean
• 2 Calculate the median
• 3 Calculate the mode
• 4 Calculate the range
• 5 Interpret charts to find the mean
• 6 Interpret charts to find the median
• 7 Interpret charts to find the mode
• 8 Interpret charts to find the range
• 9 Mean, median, mode and range: find the missing number

EE. Probability

• 1 Combinations
• 2 Probability of one event
• 3 Make predictions
• 4 Experimental probability
• 5 Probability of opposite, mutually exclusive and overlapping events
• 6 Identify independent and dependent events

Year 6 Maths SATs Past Papers and Solutions

On this page you will find all the past papers and solutions for the maths SATs papers that students in the UK sit in Year 6 (age 10 and 11). I hope they are useful to anyone revising for or teaching this exam. 

Even if you are not a primary school teacher/student, these are incredibly useful for those in secondary education. They give a great insight into the level of work students have covered at primary school, and are a great source for extra questions

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Home / United States / Math Classes / Worksheets / 6th Grade Math Worksheets

6th Grade Math Worksheets

6th Grade Math Worksheets dig deeper into the math topics introduced in earlier grades like decimals, measurement, frac tions, and geometry. They also introduce a number of crucial new topics like percentages, exponents, integers, and proportions. Grade 6 Math Worksheets equip students with the skills and knowledge needed to excel not just in math, but in other subjects such as physics, as well. Proper comprehension of new topics like integers and algebra is extremely crucial for more advanced math classes and competitive exams. Grade 6 Online Math Worksheets are more interactive and engaging than typical textbooks, and can prove to be helpful in developing math intuition and problem-solving skills among students.  ...Read More Read Less

Benefits of Grade 6 Worksheets

Printable 6th Grade Math Worksheets   are designed to aid students in strengthening their understanding of core math concepts. They make math education engaging and fun for students, and help children develop a true thirst for knowledge. In contrast to typical textbooks,  Grade 6 Math Worksheets feature activities and puzzles that allow students to understand difficult concepts in a manner that is truly engaging. This facilitates superior knowledge retention as well.  

Some benefits of Grade 6 Math Worksheets:

Expansive coverage

Grade 6 Math Worksheets  cover a number of relevant topics that students will learn during their school year. With the help of these worksheets, students can practice a variety of crucial concepts and develop superior knowledge that allows them to ace their math exams. 

Time management

Many students encounter problems solving math sums within a deadline in 6th grade, especially while dealing with more advanced concepts and newly learned equations. This ultimately harms their grades, as they are unable to complete their math exams in time. Practicing using   6th Grade Math Worksheets online  can be quite helpful in preventing such an eventuality. With consistent practice, students will become proficient in solving even the most complex math problems relatively fast. 

Preparation for the future

Grade 6 Math Worksheets  help students gain a high degree of understanding in addition, subtraction, multiplication, and division. Subsequently, they are able to move on to topics such as fractions, percentages, and simple geometry. After gaining confidence in these basic topics, sixth graders will be ready for pre-algebra and more advanced concepts taught in their school year. 

• Interactive Worksheets
• Printable Worksheets

• 6th Grade Adding and Subtracting Integers Worksheets
• 6th Grade Pre Algebra Worksheets
• 6th Grade Algebraic Expressions Worksheets

6th Grade Combining Like Terms Worksheets

• 6th Grade Algebra Worksheets
• 6th Grade Classify Algebraic Expressions

Choose Math Worksheets by Grade

Choose math worksheets by topic, grade 6 math worksheets explained.

Printable Grade 6 Math Worksheets can   help students earn high grades on their exams while also allowing them to develop a strong foundation in mathematics that prepares them for middle school. These worksheets cover almost all the core math topics taught in the previous grades, as well as introducing many new concepts. 

Major topics covered by  6th Grade Math Worksheets  include fraction conversions, measurements, mean and median, number patterns, exponents, ratio, percent, prime factorization, GCF, LCM, integers, and geometry. Many of the topics are presented through engaging word problems, which helps make the learning experience exciting for students. 

Here are some of the types of  Grade 6 Math Worksheets   for students  that will help them get ready for middle school math:

• Pre-algebra addition, subtraction, multiplication, and division word problems. These problems deal with the relationship between numbers in simple equations, and can be a great way for easing into more complex algebra equations. 
• Basic investing concepts are introduced to the students, including dividends, price-to-earnings ratio, and market capitalization. 
• Combining negative numbers with other integers using basic math operations, long division with negative numbers, and multiplication of multi-digit negative numbers. 
• Determining mean, median, and mode for sets of numbers. Problems presented in this worksheets tend to include sets of negative and positive integers, as well as mixed sign sets.
• Factoring progressively larger integers into their prime factors. The first step of doing so would be to determine the greatest common divisor of two numbers or to determine the least common multiple of two numbers. Prime factorization also introduces the concepts of prime numbers and composite numbers.
• Students are introduced to squares, cubes, and exponents mixed with other basic operations through these worksheets, and are vital for developing a good understanding of common exponential terms.

Printable Grade 6 Math Worksheets  can cover multiple topics, and feature problems with diverse difficulty levels. These worksheets can be downloaded as a PDF or printed out instantly for exam preparation or revision work.  

How are the 6th grade math worksheets interactive in nature?

The 6th grade online math worksheets are designed in a unique way, keeping in mind the  need for child to use various math or visual mother, use various strategies to solve along with usage of real life contexts wherever possible. Each and every question has a fun element for the child to be engaged while solving the 6th grade online math worksheets within the time limit.

What are the math topics covered in the grade 6 math worksheets?

The math topics included in the 6th grade math worksheets are powers and exponents, prime factorization, G.C.F and L.C.M, multiplication and division of fractions and decimals, ratios and rates, percent, fractions and decimals, algebraic expressions and their properties, area, surface area and volume of 2D and 3D shapes, comparison and ordering of integers, sums on coordinate plane, statistical measurements and understanding data display.

What are the different levels of difficulty in sixth grade math worksheets?

The sixth grade math worksheets are segregated into three levels – easy, medium and hard. Every student has the option of choosing any level based on their understanding of the math concepts and how confident they are. We do encourage students to try all three levels for getting a robust understanding of the math concepts which can result in a definite growth in their math learning.

Are the grade 6 math worksheets timed?

Yes, the sixth grade interactive math worksheets are timed. This will encourage the students more to participate in such time-bound activities and get a better grasp on how prepared they are with the math concepts.

In what all formats are the 6th grade math worksheets available?

The interactive math worksheets are available for the children in two different formats. The pdf based printable worksheets can be solved offline once downloaded while the others are tech based online math  worksheets which are interactive in nature are solved in online mode.

Who prepares the questions for the sixth grade math worksheets?

The questions for sixth grade interactive math worksheets are prepared by highly qualified subject matter experts who are experienced with the subject. Each and every question is prepared after  deep thought to ensure that the questions are original and engaging enough for every level.

Can the grade 6 math worksheets be worked on more than once?

Yes, the student can practice different math concepts using the BYJU’s free online math worksheets for sixth grade by attempting them more than once. In fact, for every new submission, the student may come across a fresh set of questions to practice and enhance their knowledge.

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5 challenging year 6 maths problems

Subject: Number

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

22 February 2018

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A couple of lovely contexts for children to apply their skills to - thanks.

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Fabulous, thanks, some great challenges

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• Grades 6-12
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100 Last-Day-of-School Activities Your Students Will Love!

100 Math Riddles for Kids (and Grown-Ups Too!)

So many ways to have fun with math.

Math riddles are tricky problems or questions that students have to use their knowledge of math operations, vocabulary, and general knowledge to solve. They’re also a fun way to engage in creative thinking and collaboration as they work to solve math riddles together.

As a warm-up or challenge activity, math riddles:

• Improve problem-solving skills.
• Build resilience. Students are bound to miss one (or many) riddles. Having to try and try again is a skill they’ll need in math and beyond.
• Increase engagement. Math riddles can be a fun way to learn and practice math, which can increase motivation.
• Support collaboration. If students must solve a problem in groups, they’ll practice working together and relying on each other’s unique approaches and thinking styles.

Whatever the reason, check out these 100 math riddles to challenge every student.  

Math Riddles for Elementary School

How many sides does a circle have.

None. A circle does not have sides.

I’m an even, single-digit number. Once you write me, I have no start or end. I look like a standing pair of glasses. Who am I?

Ashley buys one new toy every 30 days. how many toys does he have in one year, which is longer, 10 centimeters or 10 inches, if you multiply me by any other number, the answer will always be the same. what number am i, what weighs more, a pound of feathers or a pound of bricks.

They weigh the same.

When Pam was 8, her sister was half her age. Now, Pam is 14. How old is her sister?

Pam’s sister is 4 years younger, so her sister is now 10 (14 – 4 = 10).

If a boy blows 18 bubbles, and then he pops 7, eats 6, stomps 5, and blows another 1, how many are left?

If you’re at a theater to watch a movie that starts in one hour, how many minutes do you have to wait to watch it.

60 minutes.

Nina has six siblings who were born two years apart. Kevin, the youngest, is 7 years old, while Nina is the oldest. How old is Nina?

Nina is 19: 7 + 2 + 2 + 2 + 2 + 2 + 2 = 19.

How did the soccer fan know before the game that the score would be 0-0?

The score is always 0-0 before the game.

What is the Roman numeral for 100?

You’re 8 years old, and your uncle is 53. how old will your uncle be when you are 23, at what point do parallel lines meet.

Never. Parallel lines never intersect.

If it took seven people 10 hours to build a doghouse, how many hours will it take 15 people to build the same doghouse?

None. The dog house is already built.

A farmer has 23 goats on his farm. One day after a storm, all but 9 ran away. How many goats does the farmer have now?

Place three matches on the table. how can you add two more to make eight.

Add two matches to make the Roman numeral VIII.

How many times can you take 10 away from 100?

Once. After that, the number you’re subtracting from is 90.

There’s something common between the numbers 11, 88, and 96. What is it?

You can rotate them 180° or upside down and they will still look the same.

What can you put between 8 and 9 to make the result greater than 8, but less than 9?

A decimal point (8.9).

This number is the smallest prime number and an even number. What is it?

Henry is 1,000 mm tall, and hank is 100 cm tall. who’s taller.

They are the same height.

Can you find a way to get the number 23 by using only the number 2?

22 + 2/2 = 23

How many cupcakes are in a baker’s dozen?

I get 11 when i add 5 and 6, but when i take 7 and 6, i get 1. what am i, if 1 = 4, 2 = 8, 3 = 12, then 4 = how much.

Since 1 = 4, then 4 = 1.

There is an odd number that becomes even if you take away one letter from it. What is it?

Seven. Take away the S and it is “even.”

What three numbers have the same result if they are added or multiplied together?

1, 2, and 3.

If days on Mars are as long as two weeks on Earth, how long is an hour?

14 Earth hours.

Math Riddles for Middle Schoolers

If you go to the movies and you’re paying, is it cheaper to take one friend to the movies twice or two friends to the movies at the same time.

It is cheaper to take two friends at the same time, since you’d be paying for yourself plus two others (three people) as opposed to paying for yourself and one friend twice, which equals four people.

If four men can build four tables in four hours, how many can eight men build in eight hours?

I am four times as old as my daughter. in 20 years time, i shall be twice as old as her. how old are we now.

I am 40 and my daughter is 10.

There is a lily pad on a small pond. Each day, the lily pad doubles its size. On day 20 it covers the whole pond. On what day was the lily pad the size of half the pond?

At a clothing store, the owner has devised his own method of pricing items. a vest costs $20, socks cost $25, a tie costs $15, and a blouse costs $30. using this method, how much would a pair of underwear cost.

$45. The pricing method consists of charging $5 for each letter required to spell the item.

One is to three as three is to five and five is to four and four is the magic number. What is the pattern?

The word “one” has three letters. The word “three” has five letters. “Five” has four letters. “Four” has four letters.

The ages of a father and son add up to 66. The father’s age is the son’s age reversed. How old could they be? (There are three possible solutions.)

51 and 15, 42 and 24, or 60 and 06.

Pick a number from 1 to 10, multiply it by 2, add 10, divide it by 2, now subtract the number you picked from your total. What is it?

You want to boil a two-minute egg. if you only have a three-minute timer (hourglass), a four-minute timer, and a five-minute timer, how can you boil the egg for only two minutes.

Once the water is boiling, turn the three-minute timer and five-minute timer over. When the three-minute timer runs out, put the egg in the boiling water. When the five-minute timer runs out, two minutes have elapsed and it is time to take the egg out of the water. You do not need the four-minute timer.

81 x 9 = 801. What must you do to make the this equation true?

Turn it upside down. 108 = 6 x 18.

How much will a 38° angle measure when looked at under a microscope that magnifies 10 times?

It will be 38 degrees.

If 1 = 5, 2 = 15, 3 = 215, and 4 = 3,215, what does 5 equal?

5 = 1, because 1 = 5.

If seven people meet one another and each shakes hands only once with each of the others, how many handshakes happened?

Using only addition, how can you add eight 8s to get the number 1,000.

888 + 88 + 8 + 8 + 8 =1,000.

How much dirt is there in a hole that is 3.45 m by 6.21 m?

None. There is no dirt in a hole.

A phone and case cost $110 in total. The price of the phone is $100 more than the case. How much is the phone?

An empty bus pulls up to a stop, and 10 people get on. at the next stop, 5 people get off, and twice as many people get on as at the first stop. at the third stop, 25 get off. how many people are on the bus.

One—the driver.

During what month do people sleep the least?

February because it has the fewest days.

There are 12 kids in a class. Six kids are wearing socks, four are wearing shoes, and three are wearing both. How many have bare feet?

Mr. kim has five sons. each of his sons has a sister. how many children does mr. kim have.

Six. They all have the same sister.

There are six chocolates in a basket. Six people each take one chocolate. How can it be that one chocolate is left in the basket?

The last person took the basket with the chocolate in it.

Kevin finished half of his report at school. He finishes another quarter after school. How much does he have left to finish?

A quarter (1 – 1/2 – 1/4 = 1/4).

What is the next number? 1, 2, 4, 7, 11, 16, __?

At an ice cream shop, a single scoop costs $5. a double scoop costs $7. a triple scoop costs $8. what’s the best value.

The triple scoop.

Maria made brownies. She cuts the brownies into 12 equal pieces. How many cuts did she make?

Five cuts (two vertical, three horizontal).

Hailey has three library books at home. She finished reading one of them and returned it. Then her mom bought her two books. How many books does she currently have at home?

Four (3 – 1 + 2 = 4).

Which statement is correct: “Eight and six are fifteen” or “six and eight are fifteen”?

Neither of them is correct: 8 + 6 =14.

Math Riddles for High Schoolers

Cara leaves new york at 8 a.m., driving 35 mph. nancy starts driving to new york at 50 mph. when they meet, which one will be farthest away from new york.

They will be the same distance from New York.

A teacher says that there are fewer than 30 students but more than 20 in a classroom. The children can be divided into groups of two, three, four, six, and eight with no leftover students. How many students are in the class?

Seven brothers were born two years apart. the youngest brother is 7. how old is the oldest brother, charlie has one child, a boy. he’s having another child. what chance does he have of having another boy, what is the next number: 1, 3, 7, 15, 31, __, what is the next number: 2, 4, 6, 10, 16, __, there are 100 houses in the neighborhood where sam and his brother live. sam’s house number is the reverse of his brother’s house number. the difference between their house numbers ends with 2. what are their house numbers, in a three-digit number, the second digit is four times greater than the third digit. the first digit is three lower than the second digit. what is the number, it is raining at midnight and the weather forecast says that tomorrow and the next day will be clear. will it be sunny in 48 hours.

No, in 48 hours, it will be night so it will not be sunny.

A 300-foot train traveling 300 feet per minute must travel through a 300-foot-long tunnel. How long will it take the train to travel through the tunnel?

Two minutes. It takes the front of the train one minute, and the rest of the train will take two minutes to clear the tunnel.

Robert and David played several golf matches against each other in a week. They played for a pizza at each match, but no pizzas were purchased until the end of the week. If Robert and David had the same number of wins at any time, those pizzas were canceled. Robert won four matches (but no pizzas), and David won three pizzas. How many rounds of golf were played?

11. David won seven matches—four to cancel out Robert’s four wins and three more to win the pizzas.

I add 5 to 9 and get 2. The answer is correct, but how?

When it is 9 a.m., add five hours to it, and you will get to 2 p.m.

When Carlos was 6 years old, his little sister, Julia, was half his age. If Carlos is 40 years old today, how old is Julia?

Tom was asked to paint numbers outside 100 apartments, which means he will have to paint numbers 1 through 100. how many times will he have to paint the number 8, there are 100 pairs of dogs in a zoo. a pair of puppies are born for each dog. unfortunately, 23 of the dogs have not survived. how many dogs are left in total.

977 dogs. 100 x 2 = 200; 200 + 800 = 1,000; 1,000 – 23 = 977

If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?

Leon works at the aquarium. when he tries to put each turtle in its own tank, he has one turtle too many. but if he puts two turtles per tank, he has one tank too many. how many turtles and how many tanks does leon have.

He has three tanks and four turtles.

Math Riddles for Adults

You have a perfect cube. can you divide your cube into smaller cubes that all have different volumes.

No. There is no way for cubes of all different volumes to correctly fit inside of a larger cube. There would be empty spaces as the cubes got smaller and smaller and you would have no way to fill these spaces. Eventually, the cubes would be too small to continue.

One morning you need to find some socks, but your light is broken. You know there are 10 purple socks and 10 orange socks in your drawer, but they’re all mixed up. They are completely the same except for their color. How many socks do you have to pick to ensure you have a matching pair?

You only have to pick three socks. Because there are only two colors of socks in the drawer, you will definitely have a matching pair if you take three.

You are cutting up a pie. First you cut it into two pieces. With your next cut, you produce four pieces. The third cut results in seven pieces. How many pieces can you cut with seven slices?

What is special about the number 854,917,632.

It’s the numbers one through ten in alphabetical order.

You are 8 feet away from a door, and with each move you advance half the distance to the door. How many moves will it take to reach the door?

You will never reach it because you will always have another half distance to cross.

Joe has 10 coins totaling $1.19. From these coins, he cannot make exact change for a dollar, half dollar, quarter, dime, or nickel. What are the coins?

A half dollar, a quarter, four dimes, and four pennies.

When shipping something, Tom can place 10 small boxes or 8 large boxes into a carton. A total of 96 boxes were sent in one shipment and the number of small boxes was less than large boxes. How many cartons did he ship?

11 cartons.

A certain number has three digits. The sum of the three digits equals 36 times this number. Seven times the left digit plus nine equals five times the sum of the two other digits. Eight times the second digit minus nine is equal to the sum of the first and third. What is the number?

Can you arrange four nines to make it equal to 100.

99 + 9 / 9 = 100

Easy Math Riddles

I am a number that is 5 more than the number of toes you have on your feet. what am i, i am a number that is two more than the number of days in a week. what am i, i’m less than 15 but more than 10. you can find me by adding 10 to 3. what am i, i am more than 10 but less than 14. i am one more than the number of months in one year. what am i, i’m less than 8 but more than 5. i’m one more than the fingers on your left hand. what am i, i’m a number you can find by adding the number of sides of a triangle. what am i, i’m between 1 and 5. i’m less than 4 and more than 2. what am i, i am a number you get when you add the sides of a rectangle and a square., hard math riddles, a snail is at the bottom of a 20-meter pit. every day the snail climbs 5 meters up, but at night it slides down 4 meters. how many days does it take before the snail reaches the top.

The snail reaches the top of the pit on the 16th day. On the first day, the snail reaches a height of 5 meters and slides down 4 meters at night, and thus ends at a height of 1 meter. On the second day, he reaches 6 meters but slides back to 2 meters. On the third day, he reaches 7 meters but slides back to 3 meters. On the 15th day, he reaches 19 meters but slides back to 15 meters. On the 16th day, he reaches 20 meters, so now he is at the top of the pit.

There are eight balls with eight different numbers in them: 1, 3, 5, 7, 9, 11, 13, 15. Select three balls that equal 30.

Flip the nine and turn it into a 6 and then the three balls are 6, 11, and 13.

Can you make 24 from the numbers 3, 3, 8, and 8? You can only use the operations + – x / (), and you have to use all four numbers.

8 / (3 – 8/3) = 24.

How can you take 2 from 5 and leave 4?

Remove the 2 letters F and E from five and you have IV which is the Roman numeral for four.

Granny left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the dogs’ home. How much did she leave altogether?

Focus on the fractions. Add one-half, one-quarter, and one-sixth for a total that is a fraction of twelfths (2 + 4 + 6 = 12). You can also think about it as 6/12, 3/12, 2/12, which equals 11/12. If the remainder is $1,000, that must be one-twelfth, so the total is $12,000.

What single digit appears most frequently between and including the numbers 1 and 1,000?

The most common digit is 1. Every number 1 through 9 appears exactly the same number of times in every 10 numbers. But because we included the number 1,000, there’s an extra occurrence of the number 1. In total, the number 1 appears 301 times, and every other number appears 300 times.

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain, and if I deal among five people, two cards remain. How many cards are there?

What is the smallest whole number that is equal to seven times the sum of its digits, what is the smallest number that increases by 12 when it is flipped and turned upside-down, you have two u.s. coins worth a total value of 30 cents. one of them is not a nickel. what are the two coins.

One quarter and one nickel.

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Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.