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.

National Curriculum

How to practise exam questions by topic

  1. 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.
  2. 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.
  3. 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.

  1. Substitute w = 12 into C = 9w + 20: C = 9 x 12 + 20.
  2. Work out 9 x 12 = 108, so C = 108 + 20 = 128. Cleaning 12 windows costs 128 pounds.
  3. To find w when C = 173, write the equation 9w + 20 = 173.
  4. Subtract 20 from both sides: 9w = 153.
  5. Divide both sides by 9: w = 17.
2.1 Algebra: Expressions and Formulae9p + answers · 87 marks · PDF
2.2 Algebra: Equations9p + answers · 81 marks · PDF
2.3 Algebra: Sequences and Graphs14p + answers · 106 marks · PDF
2.4 Introduction to Algebraic Notation5p + answers · 37 marks · PDF
2.8 Expanding Single Brackets3p + answers · 25 marks · PDF
2.9 Factorising into Single Brackets5p + answers · 50 marks · PDF
2.10 Solving One and Two Step Equations4p + answers · 40 marks · PDF
2.12 Writing and Using Formulae5p + answers · 45 marks · PDF
2.13 Expanding Double Brackets5p + answers · 58 marks · PDF
2.15 Linear Sequences and the nth Term3p + answers · 32 marks · PDF
2.16 Straight Line Graphs: y = mx + c3p + answers · 24 marks · PDF
2.18 Inequalities and Number Lines4p + answers · 40 marks · PDF
4.1 Geometry: Angles and Shapes11p + answers · 84 marks · PDF
4.2 Geometry: Area, Perimeter and Volume11p + answers · 70 marks · PDF
4.3 Geometry: Transformations15p + answers · 64 marks · PDF
4.4 Angles: Lines, Points and Triangles4p + answers · 40 marks · PDF
4.5 Properties of 2D Shapes4p + answers · 40 marks · PDF
4.6 Measuring, Drawing and Constructing4p + answers · 40 marks · PDF
4.9 Angles in Parallel Lines6p + answers · 44 marks · PDF
4.10 Angles in Polygons4p + answers · 42 marks · PDF
4.11 Circles: Circumference and Area5p + answers · 47 marks · PDF
4.12 Volume and Surface Area of Prisms5p + answers · 43 marks · PDF
4.13 Coordinates and Line Geometry3p + answers · 20 marks · PDF
4.14 Pythagoras' Theorem5p + answers · 49 marks · PDF
4.15 Introduction to Trigonometry5p + answers · 45 marks · PDF
4.18 Congruence and Similarity4p + answers · 46 marks · PDF
4.19 Bearings and Scale4p + answers · 40 marks · PDF
4.20 3D Shapes, Plans and Elevations4p + answers · 46 marks · PDF
1.1 Number: Integers and Powers9p + answers · 89 marks · PDF
1.3 Number: Standard Form and Rounding8p + answers · 75 marks · PDF
1.4 Place Value, Ordering and Rounding5p + answers · 49 marks · PDF
1.5 Four Operations with Integers3p + answers · 22 marks · PDF
1.6 Factors, Multiples, HCF and LCM5p + answers · 52 marks · PDF
1.7 Negative Numbers4p + answers · 40 marks · PDF
1.9 Fractions: Adding and Subtracting5p + answers · 58 marks · PDF
1.12 Indices and the Index Laws5p + answers · 48 marks · PDF
1.13 Standard Form5p + answers · 50 marks · PDF
1.14 Estimation and Checking2p + answers · 20 marks · PDF
1.15 Roots, Powers and Exact Values4p + answers · 35 marks · PDF
5.1 Probability14p + answers · 97 marks · PDF
5.2 Probability Scale and Simple Events5p + answers · 41 marks · PDF
5.5 Two-Way Tables and Frequency Trees5p + answers · 46 marks · PDF
5.6 Venn Diagrams and Set Notation3p + answers · 20 marks · PDF
5.8 Mixed Probability Problem Set4p + answers · 46 marks · PDF
3.2 Writing and Simplifying Ratios3p + answers · 23 marks · PDF
3.3 Sharing in a Given Ratio4p + answers · 40 marks · PDF
3.6 Scale Drawings and Maps4p + answers · 40 marks · PDF
3.7 Percentage Change and Multipliers4p + answers · 43 marks · PDF
3.8 Inverse Proportion5p + answers · 47 marks · PDF
3.10 Simple and Compound Interest4p + answers · 44 marks · PDF
3.11 Proportional Reasoning Problem Set5p + answers · 51 marks · PDF
6.1 Statistics11p + answers · 92 marks · PDF
6.5 Averages from Frequency Tables5p + answers · 47 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

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