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GCSE 9-1 Exam Question Practice (Fractions)

Subject: Mathematics

Age range: 14-16

Resource type: Lesson (complete)

Last updated

9 December 2018

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GCSE Fractions Questions and Answers

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GCSE Topics

• Algebraic Expressions (190)
• Factorizing Expressions (14)
• Parallel and Perpendicular Lines (36)
• Function Machine (20)
• Algebraic Formulae (20)
• Simplifying Expressions (128)
• Quadratic Graphs (51)
• Collecting like Terms (50)
• Linear Inequalities (48)
• Turning Points (22)
• Indices (112)
• Quadratic Inequalities (10)
• Sketching Graphs (67)
• Order of Operations (BIDMAS) (16)
• Laws of Indices (70)
• Fractional Indices (28)
• Sequences (74)
• Exponential Graphs (16)
• Cubic Equations (18)
• Algebraic Indices (16)
• Arithmetic Sequences (43)
• Gradients of Curves (13)
• Rates of Change (5)
• Negative Indices (16)
• Quadratic Sequences (19)
• Factorizing Quadratics (11)
• Formulae (3)
• Algebraic Fractions (23)
• Coordinates (101)
• Cubic and Reciprocal Graphs (19)
• Linear Equations (190)
• Gradient of a line (67)
• Transforming Graphs (8)
• Simultaneous Equations (42)
• Equations of Straight Lines (91)
• Areas under curves (17)
• Geometric Sequences (11)
• Quadratics and Fractions (1)
• Quadratic Equations (104)
• Straight Line Graphs (74)
• Algebraic Proof (39)
• Algebraic Equations (308)
• Writing Formulae (1)
• Quadratic Formula (22)
• Real-life Graphs (14)
• Function Notation (26)
• Completing the Square (11)
• Trigonometric Graphs (18)
• Inverse Functions (14)
• Factorising Expressions (30)
• Substitution (59)
• Graphs of inequalities (12)
• Equation of a Circle (22)
• Composite Functions (14)
• Factorising Quadratics (27)
• Speed Distance Time (74)
• Velocity-time Graphs (18)
• Iterative Methods (16)
• Time Tables (4)
• Expanding Brackets (61)
• Expanding Double Brackets (4)
• Rearranging Formulae (40)
• Ratio & Proportion (248)
• Compound Measures (26)
• Proportion and Graphs (12)
• Unit Conversions (84)
• Growth and Decay (9)
• Density (24)
• Direct and Inverse Proportion (62)
• Scale diagrams and maps (17)
• 3D Shapes (74)
• Translations (25)
• Parallel Lines (22)
• Rotational Symmetry (9)
• Volume & Surface Area (87)
• Enlargement (27)
• Triangles (189)
• Similar Shapes (34)
• Squares (41)
• Congruent Triangles (27)
• Symmetry (18)
• Rectangles (68)
• Bearings (19)
• Line Symmetry (14)
• Nets of solids (2)
• Parallelograms (23)
• Trigonometry Lengths (73)
• Unit Conversion (2)
• Angles (135)
• Rhombus (7)
• Trigonometry Angles (98)
• 3D trigonometry (6)
• Pythagoras Theorem (45)
• Trapeziums (31)
• Sine Rule (21)
• Circles (1)
• 3D Pythagoras Theorem (8)
• Prisms (23)
• Cosine Rule (19)
• Constructing Perpendicular Lines (11)
• Circles, Sectors and Arcs (110)
• Vectors (55)
• Constructions (32)
• Cylinders (17)
• Plans and Elevations (15)
• Circle Theorems (33)
• Scale Drawings and Maps (26)
• Transformations (54)
• Reflection (30)
• Polygons (39)
• Pyramid (12)
• Area and Perimeter (179)
• Rotations (25)
• Scale Factor (39)
• Box plots (18)
• Scatter graphs (28)
• Time series graphs (14)
• Averages and Range (33)
• Sampling (2)
• Line Graphs (14)
• Frequency Table (50)
• Cumulative Frequency (29)
• Mean, mode and Median (94)
• Comparing Data (16)
• Stem and Leaf Diagrams (4)
• Data and Sampling (13)
• Histograms (23)
• Bar charts (29)
• Pictograms (14)
• Pie charts (26)
• Frequency Polygon (6)
• Conditional Probability (13)
• Independent Events (14)
• interpreting via collected data and calculated probabilitites (1)
• Comparing Probabilities (1)
• Probability (2)
• Sample space diagram (20)
• AND & OR Rules (56)
• Two way Tables (7)
• Relative Frequency (24)
• Tree diagrams (38)
• Frequency and Outcomes (12)
• Venn Diagrams (42)
• Set Notation (11)
• Geometric Mean (1)
• Arithmetic Mean (1)
• Comparing Statistical Measures (1)
• Factors, Multiples and Primes (88)
• Equivalent Fractions (16)
• Fractions of amounts (15)
• Simple and Compound Interest (36)
• Division (1)
• Fractions to decimals (29)
• Multipliers (21)
• Addition and Subtraction (57)
• Multiplication (1)
• Fractions to percentages (12)
• Fraction problems (22)
• Arithmetic Word Problems (182)
• Percentages (222)
• Ordering Numbers, (18)
• Decimals to Fractions (23)
• Rounding Numbers (87)
• Reverse Percentages (13)
• Odd and Even Numbers (28)
• Estimation (80)
• Decimals to Percentages (6)
• Multiplication and Division (96)
• Percentage Change (56)
• lcm word problems (11)
• Laws of Indices (16)
• Significant Figures (77)
• Order of Operations (13)
• HCF Word Problems (2)
• Profit and Loss (1)
• Decimals (137)
• Percentage Profit and Loss (21)
• Square Roots (41)
• Decimal Places (77)
• Ordering Fractions (5)
• Recurring Decimals (19)
• Repeated Percentage Change (11)
• Rounding Numbers, Estimation, Significant Figures, Decimal Places (14)
• Percentage to Fractions (8)
• Multiplying Decimals (19)
• Calculator Skills (50)
• Product Rule (11)
• Place Value (11)
• Dividing Decimals (27)
• Standard form (48)
• Error Intervals (26)
• Cube Roots (14)
• Pecentage Change (8)
• Ordering Decimals (8)
• Counting Strategies (24)
• Negative Numbers (14)
• Fractions (173)
• Square Numbers (48)
• Upper and Lower Bounds (25)
• Mixed Numbers (27)
• Cube Numbers (30)
• Limits of Accuracy (20)
• Operations with fractions (41)
• HCF, LCM (34)
• Comparing Numbers (24)
• Interpreting and Comparing Data (1)
• Scatter Graph (1)
• Time Series Graphs (1)

The main topics in GCSE Maths are:

• Ratio, Proportion and Rates of Change 
• Geometry and Measures
• Statistics 
• Probability 
• Statistical Measures 
• Data Visualisation 

With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers , you can easily score high marks.

Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers .

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Fraction Worksheet

FREE DOWNLOAD

Help your students prepare for their Maths GCSE with this free fraction worksheet of 43 questions and answers

• Section 1 of the printable fraction worksheet contains 36 fraction skills based questions, in 3 groups to support differentiation
• Section 2 contains 4 applied fraction problems with a mix of word problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style fraction questions 
• Answers and a mark scheme for all fraction questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Raise maths attainment across your school with hundreds of flexible and easy to use GCSE maths worksheets and lessons designed by teachers for teachers.

Fractions at a glance

Fractions represent a part of a whole. The denominator of a fraction represents how many equal parts the whole has been divided into and the numerator of the fraction represents how many of those fractional parts we have. For example, the fraction 3 fifths means the whole amount has been divided into 5 equal parts (fifths) and we have 3 of them. Unit fractions have a numerator of 1. 

Some fractions are equivalent to each other – they represent the same proportion of a whole. For example, the fractions 1 over 2, 2 over 4, 3 over 6 and 50 over 100  are all equivalent. We may be asked to simplify a fraction and this means finding an equivalent fraction which is made up from smaller numbers (this is sometimes called reducing fractions). Equivalent fractions are useful when converting fractions to percents.  

Proper fractions are greater than 0 and less than 1 and can be placed between 0 and 1 on a number line. We also sometimes work with improper fractions, where the numerator is bigger than the denominator, and with mixed numbers (also called mixed fractions) which consist of a whole number and a proper fraction. Improper fractions and mixed numbers are greater than 1 and we can convert between them.

We can find a given fraction of a whole number. To do this, we divide the number by the denominator and then multiply the answer by the numerator. 

We can also add, subtract, multiply and divide fractions. When performing fraction addition or subtraction, we need to ensure the fractions have a common denominator. If the fractions have different denominators, we can find equivalent fractions to make the denominators the same. We can then add or subtract the numerators.

When performing fraction multiplication we need to multiply the numerators and multiply the denominators. When dividing fractions we need to turn the second fraction upside down and then multiply them together.

Looking forward, students can then progress to additional number worksheets , for example a percentage worksheet or a rounding worksheet .

For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

Related worksheets

GCSE Revision Cards: Negative Numbers

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GCSE Revision Cards: Decimals

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