Worksheet library · KS3
KS3 Maths Exam Questions by Topic
Practise KS3 Maths one topic at a time with original National Curriculum-style questions. The 150 topic sets below contain 1047 printable pages, with the mark scheme beside the questions so you can check the method before moving on.
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How to practise exam questions by topic
- Choose the topic that cost marks in classwork or a past paper. Try the questions without notes so the first attempt shows what the student can actually recall.
- Use the mark scheme to compare the method as well as the final answer. For written subjects, check that each credited point is stated clearly; for calculations, identify the first step that went wrong.
- Revisit the same topic after a gap, then mix it into a full paper. Topic practice repairs one weakness at a time, while a timed paper checks whether the method can still be recognised among other questions.
See the method: Algebra: Expressions and Formulae
A window cleaner uses the formula C = 9w + 20 to work out his charge, where C is the cost in pounds and w is the number of windows he cleans. Find the charge for cleaning 12 windows, and work out how many windows he cleaned if he charged 173 pounds.
- Substitute w = 12 into C = 9w + 20: C = 9 x 12 + 20.
- Work out 9 x 12 = 108, so C = 108 + 20 = 128. Cleaning 12 windows costs 128 pounds.
- To find w when C = 173, write the equation 9w + 20 = 173.
- Subtract 20 from both sides: 9w = 153.
- Divide both sides by 9: w = 17.
2.1 Algebra: Expressions and Formulae9p + answers · 87 marks · PDF
2.1d Algebra: Expressions and Formulae: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.2 Algebra: Equations9p + answers · 81 marks · PDF
2.2d Algebra: Equations: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.3 Algebra: Sequences and Graphs14p + answers · 106 marks · PDF
2.3d Algebra: Sequences and Graphs: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.4 Introduction to Algebraic Notation5p + answers · 37 marks · PDF
2.4d Introduction to Algebraic Notation: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.5 Simplifying and Collecting Like Terms5p + answers · 53 marks · PDF
2.5d Simplifying and Collecting Like Terms: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.6 Substitution into Expressions and Formulae4p + answers · 40 marks · PDF
2.6d Substitution into Expressions and Formulae: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.7 Function Machines and Inverse Operations5p + answers · 49 marks · PDF
2.7d Function Machines and Inverse Operations: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.8 Expanding Single Brackets3p + answers · 25 marks · PDF
2.8d Expanding Single Brackets: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.9 Factorising into Single Brackets5p + answers · 50 marks · PDF
2.9d Factorising into Single Brackets: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.10 Solving One and Two Step Equations4p + answers · 40 marks · PDF
2.10d Solving One and Two Step Equations: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.11 Equations with Brackets and Unknowns on Both Sides4p + answers · 50 marks · PDF
2.11d Equations with Brackets and Unknowns on Both Sides: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.12 Writing and Using Formulae5p + answers · 45 marks · PDF
2.12d Writing and Using Formulae: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.13 Expanding Double Brackets5p + answers · 58 marks · PDF
2.13d Expanding Double Brackets: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.14 Introduction to Factorising Quadratics4p + answers · 50 marks · PDF
2.14d Introduction to Factorising Quadratics: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.15 Linear Sequences and the nth Term3p + answers · 32 marks · PDF
2.15d Linear Sequences and the nth Term: Fluency and Exam Drill5p + answers · 40 marks · PDF
2.16 Straight Line Graphs: y = mx + c3p + answers · 24 marks · PDF
2.16d Straight Line Graphs: y = mx + c: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.17 Introduction to Simultaneous Equations2p + answers · 20 marks · PDF
2.17d Introduction to Simultaneous Equations: Fluency and Exam Drill4p + answers · 40 marks · PDF
2.18 Inequalities and Number Lines4p + answers · 40 marks · PDF
2.18d Inequalities and Number Lines: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.1 Geometry: Angles and Shapes11p + answers · 84 marks · PDF
4.1d Geometry: Angles and Shapes: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.2 Geometry: Area, Perimeter and Volume11p + answers · 70 marks · PDF
4.2d Geometry: Area, Perimeter and Volume: Fluency and Exam Drill5p + answers · 40 marks · PDF
4.3 Geometry: Transformations15p + answers · 64 marks · PDF
4.3d Geometry: Transformations: Fluency and Exam Drill5p + answers · 40 marks · PDF
4.4 Angles: Lines, Points and Triangles4p + answers · 40 marks · PDF
4.4d Angles: Lines, Points and Triangles: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.5 Properties of 2D Shapes4p + answers · 40 marks · PDF
4.5d Properties of 2D Shapes: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.6 Measuring, Drawing and Constructing4p + answers · 40 marks · PDF
4.6d Measuring, Drawing and Constructing: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.7 Perimeter and Area of Rectangles and Triangles4p + answers · 28 marks · PDF
4.7d Perimeter and Area of Rectangles and Triangles: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.8 Area of Parallelograms, Trapezia and Compound Shapes4p + answers · 40 marks · PDF
4.8d Area of Parallelograms, Trapezia and Compound Shapes: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.9 Angles in Parallel Lines6p + answers · 44 marks · PDF
4.9d Angles in Parallel Lines: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.10 Angles in Polygons4p + answers · 42 marks · PDF
4.10d Angles in Polygons: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.11 Circles: Circumference and Area5p + answers · 47 marks · PDF
4.11d Circles: Circumference and Area: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.12 Volume and Surface Area of Prisms5p + answers · 43 marks · PDF
4.12d Volume and Surface Area of Prisms: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.13 Coordinates and Line Geometry3p + answers · 20 marks · PDF
4.13d Coordinates and Line Geometry: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.14 Pythagoras' Theorem5p + answers · 49 marks · PDF
4.14d Pythagoras' Theorem: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.15 Introduction to Trigonometry5p + answers · 45 marks · PDF
4.15d Introduction to Trigonometry: Fluency and Exam Drill5p + answers · 40 marks · PDF
4.16 Transformations: Reflection and Rotation3p + answers · 27 marks · PDF
4.16d Transformations: Reflection and Rotation: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.17 Transformations: Translation and Enlargement4p + answers · 42 marks · PDF
4.17d Transformations: Translation and Enlargement: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.18 Congruence and Similarity4p + answers · 46 marks · PDF
4.18d Congruence and Similarity: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.19 Bearings and Scale4p + answers · 40 marks · PDF
4.19d Bearings and Scale: Fluency and Exam Drill4p + answers · 40 marks · PDF
4.20 3D Shapes, Plans and Elevations4p + answers · 46 marks · PDF
4.20d 3D Shapes, Plans and Elevations: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.1 Number: Integers and Powers9p + answers · 89 marks · PDF
1.1d Number: Integers and Powers: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.2 Number: Fractions, Decimals, Percentages6p + answers · 69 marks · PDF
1.2d Number: Fractions, Decimals, Percentages: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.3 Number: Standard Form and Rounding8p + answers · 75 marks · PDF
1.3d Number: Standard Form and Rounding: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.4 Place Value, Ordering and Rounding5p + answers · 49 marks · PDF
1.4d Place Value, Ordering and Rounding: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.5 Four Operations with Integers3p + answers · 22 marks · PDF
1.5d Four Operations with Integers: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.6 Factors, Multiples, HCF and LCM5p + answers · 52 marks · PDF
1.6d Factors, Multiples, HCF and LCM: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.7 Negative Numbers4p + answers · 40 marks · PDF
1.7d Negative Numbers: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.8 Order of Operations and Calculator Methods4p + answers · 45 marks · PDF
1.8d Order of Operations and Calculator Methods: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.9 Fractions: Adding and Subtracting5p + answers · 58 marks · PDF
1.9d Fractions: Adding and Subtracting: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.10 Fractions: Multiplying and Dividing3p + answers · 30 marks · PDF
1.10d Fractions: Multiplying and Dividing: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.11 Percentages of Amounts and Percentage Change5p + answers · 48 marks · PDF
1.11d Percentages of Amounts and Percentage Change: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.12 Indices and the Index Laws5p + answers · 48 marks · PDF
1.12d Indices and the Index Laws: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.13 Standard Form5p + answers · 50 marks · PDF
1.13d Standard Form: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.14 Estimation and Checking2p + answers · 20 marks · PDF
1.14d Estimation and Checking: Fluency and Exam Drill4p + answers · 40 marks · PDF
1.15 Roots, Powers and Exact Values4p + answers · 35 marks · PDF
1.15d Roots, Powers and Exact Values: Fluency and Exam Drill4p + answers · 40 marks · PDF
5.1 Probability14p + answers · 97 marks · PDF
5.1d Probability: Fluency and Exam Drill5p + answers · 40 marks · PDF
5.2 Probability Scale and Simple Events5p + answers · 41 marks · PDF
5.2d Probability Scale and Simple Events: Fluency and Exam Drill5p + answers · 40 marks · PDF
5.3 Listing Outcomes and Sample Space Diagrams5p + answers · 42 marks · PDF
5.3d Listing Outcomes and Sample Space Diagrams: Fluency and Exam Drill5p + answers · 40 marks · PDF
5.4 Experimental Probability and Relative Frequency4p + answers · 40 marks · PDF
5.4d Experimental Probability and Relative Frequency: Fluency and Exam Drill5p + answers · 40 marks · PDF
5.5 Two-Way Tables and Frequency Trees5p + answers · 46 marks · PDF
5.5d Two-Way Tables and Frequency Trees: Fluency and Exam Drill6p + answers · 40 marks · PDF
5.6 Venn Diagrams and Set Notation3p + answers · 20 marks · PDF
5.6d Venn Diagrams and Set Notation: Fluency and Exam Drill4p + answers · 40 marks · PDF
5.7 Tree Diagrams for Independent Events5p + answers · 47 marks · PDF
5.8 Mixed Probability Problem Set4p + answers · 46 marks · PDF
3.1 Ratio, Proportion and Rates of Change6p + answers · 69 marks · PDF
3.2 Writing and Simplifying Ratios3p + answers · 23 marks · PDF
3.3 Sharing in a Given Ratio4p + answers · 40 marks · PDF
3.4 Ratio Problems with Totals and Differences4p + answers · 40 marks · PDF
3.4d Ratio Problems with Totals and Differences: Fluency and Exam Drill4p + answers · 40 marks · PDF
3.5 Direct Proportion and the Unitary Method3p + answers · 21 marks · PDF
3.5d Direct Proportion and the Unitary Method: Fluency and Exam Drill4p + answers · 40 marks · PDF
3.6 Scale Drawings and Maps4p + answers · 40 marks · PDF
3.6d Scale Drawings and Maps: Fluency and Exam Drill5p + answers · 40 marks · PDF
3.7 Percentage Change and Multipliers4p + answers · 43 marks · PDF
3.7d Percentage Change and Multipliers: Fluency and Exam Drill4p + answers · 40 marks · PDF
3.8 Inverse Proportion5p + answers · 47 marks · PDF
3.8d Inverse Proportion: Fluency and Exam Drill5p + answers · 40 marks · PDF
3.9 Compound Measures: Speed, Density and Rates4p + answers · 50 marks · PDF
3.9d Compound Measures: Speed, Density and Rates: Fluency and Exam Drill4p + answers · 40 marks · PDF
3.10 Simple and Compound Interest4p + answers · 44 marks · PDF
3.10d Simple and Compound Interest: Fluency and Exam Drill4p + answers · 40 marks · PDF
3.11 Proportional Reasoning Problem Set5p + answers · 51 marks · PDF
3.11d Proportional Reasoning Problem Set: Fluency and Exam Drill4p + answers · 40 marks · PDF
6.1 Statistics11p + answers · 92 marks · PDF
6.2 Collecting Data, Tally and Frequency Tables6p + answers · 50 marks · PDF
6.3 Bar Charts, Pictograms and Line Graphs5p + answers · 43 marks · PDF
6.4 Averages: Mean, Median, Mode and Range5p + answers · 35 marks · PDF
6.5 Averages from Frequency Tables5p + answers · 47 marks · PDF
6.5d Averages from Frequency Tables: Fluency and Exam Drill5p + answers · 40 marks · PDF
6.6 Pie Charts3p + answers · 18 marks · PDF
6.7 Scatter Graphs and Correlation5p + answers · 40 marks · PDF
6.8 Grouped Data and the Estimated Mean5p + answers · 49 marks · PDF
6.9 Comparing Distributions5p + answers · 48 marks · PDF
6.10 Statistical Enquiry and Misleading Graphs4p + answers · 31 marks · PDF
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