Improve Tuition · Library · GCSE Grades 1–9
Table of contents · Maths Genie grade structure

90 topics across Grades 1–9

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Grade 1 10 / 10 live

Foundation · everyday number

1. Place Value

Grade 1 place value lesson — reading numbers, value of each digit, comparing, ordering, ×10 and ÷10. With 12 practice questions.

2. Ordering Numbers

Grade 1 ordering numbers lesson - pick smallest/largest, compare, use number lines and handle negatives. With 12 practice questions.

3. Addition

Add and subtract whole numbers by hand — line up the units, carry and borrow. Interactive column steppers, including borrowing across a zero.

4. Subtraction

Add and subtract whole numbers by hand — line up the units, carry and borrow. Interactive column steppers, including borrowing across a zero.

5. Multiplication

Long multiplication by the column and grid methods. Tap-through partial products from 2-digit to 4-digit, with a built-in estimate check.

6. Division

Short division — the bus-stop method — with remainders. Tap-through steppers, the multiples tip, and real-life “what's left over” problems.

7. Negative Numbers

Working with negatives in calculations and real-life contexts.

8. Rounding

Grade 1 rounding lesson - round to the nearest 10, 100 and 1000. Halfway rule and cascading rounds. With 12 practice questions.

9. Time

Grade 1 time lesson - reading analogue and digital clocks, 12h to 24h conversion, elapsed time. With 12 practice questions.

10. Money

Grade 1 money lesson - reading £ and p, converting, adding, subtracting and change from a note. With 12 practice questions.

Grade 2 8 / 10 live

Building blocks · arithmetic, fractions, data basics

11. Factors, Multiples and Primes

35-question GCSE maths paper on factors, factor pairs, and common factors. Foundation entry (Grade 1–4) with worked solutions. Improve Tuition, Batley.

12. BIDMAS

Brackets, indices, multiplication, division, addition, subtraction — in the right order.

13. Fractions

Equivalent fractions, comparing, adding and subtracting without a calculator.

14. Decimals

Grade 2 decimals lesson - place value, comparing, adding, subtracting, times and divide by 10/100/1000, rounding. With 12 practice questions.

15. Percentages

Grade 2 percentages lesson - what percent means, conversions, finding 10/25/50/75%, and building up bigger percentages. With 12 practice questions.

16. Metric Conversions

Grade 2 metric conversions - length (mm, cm, m, km), mass (g, kg), capacity (ml, l), and multi-step conversions. With 12 practice questions.

17. Estimation

Grade 2 estimation lesson - rounding to 1 sig fig, estimating +, -, ×, ÷, and real-world money problems. With 12 practice questions.

18. Averages

Grade 2 averages lesson - mean, median, mode and range. Odd and even count medians, mode edge cases. With 12 practice questions.

Incomplete19. Frequency Tables

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Incomplete20. Bar Charts

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Grade 3 7 / 10 live

Confident KS3 · ratio, geometry, early algebra

21. Ratio

Writing and simplifying ratios, sharing in a ratio, and direct proportion.

22. Proportion

Writing and simplifying ratios, sharing in a ratio, and direct proportion.

23. Angles

Angle facts for Grade 3 — straight line, point, vertically opposite, triangles, quadrilaterals and parallel lines. Three interactive worked steppers and 16 graded questio

24. Perimeter

Perimeter and area of rectangles, triangles, and compound shapes.

25. Area

Perimeter and area of rectangles, triangles, and compound shapes.

Incomplete26. Pie Charts

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Incomplete27. Probability

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28. Simplifying Algebra

Collecting like terms — from spotting them, through one letter, subtraction and several letters, up to forming and simplifying expressions for perimeters and real-life to

29. Solving Simple Equations

One- and two-step equations, brackets, unknown on both sides, and forming equations from words and shapes.

Incomplete30. Sequences

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Grade 4 3 / 10 live

Standard GCSE · indices, brackets, graphs, Pythagoras

Incomplete31. Standard Form

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32. Powers and Indices

Help with indices, powers and the laws of indices. Free practice with worked examples, read-aloud and dyslexia-friendly support.

33. Expanding Brackets

Multiplying terms, powers and expanding brackets — from writing products and powers, through multiplying terms, up to expanding single brackets and tidying the result. Ma

Incomplete34. Factorising

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Incomplete35. Formulae

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36. Linear Graphs

Reading and plotting points, distance on a grid, the four quadrants, midpoints, and coordinates in real-life maps, shapes and reflections — every lesson on a grid.

Incomplete37. Pythagoras’ Theorem

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Incomplete38. Transformations

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Incomplete39. Bearings

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Incomplete40. Volume

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Grade 5 0 / 10 live

Strong GCSE · rearranging, trig, statistics graphs

Incomplete41. Rearranging Formulae

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Incomplete42. Simultaneous Equations

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Incomplete43. Inequalities

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Incomplete44. Compound Measures

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Incomplete45. Histograms

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Incomplete46. Cumulative Frequency

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Incomplete47. Scatter Graphs

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Incomplete48. Surface Area

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Incomplete49. Congruence and Similarity

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Incomplete50. Trigonometry

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Grade 6 0 / 10 live

Higher · quadratics, vectors, circle theorems

Incomplete51. Algebraic Fractions

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Incomplete52. Quadratic Equations

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Incomplete53. Quadratic Graphs

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Incomplete54. Circle Theorems

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Incomplete55. Vectors

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Incomplete56. Direct and Inverse Proportion

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Incomplete57. Tree Diagrams

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Incomplete58. Box Plots

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Incomplete59. Bounds

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Incomplete60. 3D Trigonometry

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Grade 7 0 / 10 live

Higher+ · sine/cosine rules, lines & functions

Incomplete61. Sine Rule

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Incomplete62. Cosine Rule

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Incomplete63. Graph Transformations

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Incomplete64. Equation of a Line

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Incomplete65. Parallel and Perpendicular Lines

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Incomplete66. Functions

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Incomplete67. Surds

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Incomplete68. Velocity–Time Graphs

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Incomplete69. Distance–Time Graphs

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Incomplete70. Growth and Decay

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Grade 8 1 / 10 live

Top GCSE · completing the square, proof, iteration

Incomplete71. Completing the Square

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Incomplete72. Quadratic Inequalities

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Incomplete73. Iteration

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Incomplete74. Proof

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Incomplete75. Trigonometric Graphs

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Incomplete76. Conditional Probability

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Incomplete77. Capture–Recapture

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78. Recurring Decimals

The dot notation, turning fractions into recurring decimals by division, and the GCSE algebra method for converting them back into fractions.

Incomplete79. Compound Interest

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Incomplete80. Regions and Linear Programming

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Grade 9 0 / 10 live

Mastery · advanced multi-step problems

Incomplete81. Advanced Mixed Problem Solving

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Incomplete82. Multi-step Algebra

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Incomplete83. Multi-step Geometry

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Incomplete84. Advanced Graphs

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Incomplete85. Advanced Trigonometry

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Incomplete86. Advanced Probability

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Incomplete87. Advanced Ratio and Proportion

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Incomplete88. Advanced Vectors

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Incomplete89. Advanced Proof

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Incomplete90. Mixed Grade 9 Exam Questions

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Also in the library — related practice

27 additional pages that extend or apply the topics above.

+ Averages - 100-Question Paper (Grade 2)

A 100-question Grade 2 averages practice paper with mean, median, mode, range diagrams.

+ Estimation - 100-Question Paper (Grade 2)

A 100-question Grade 2 estimation practice paper with rounding, calculation and is-enough diagrams.

+ Metric Conversions - 100-Question Paper (Grade 2)

A 100-question Grade 2 metric conversions practice paper with conversion diagrams and step-by-step working auto-revealed on wrong answers.

+ Percentages - 100-Question Paper (Grade 2)

A 100-question Grade 2 percentages practice paper with grid, bar and buildup diagrams and step-by-step working auto-revealed on wrong answers.

+ Decimals - 100-Question Paper (Grade 2)

A 100-question Grade 2 decimals practice paper with decimal diagrams and step-by-step working auto-revealed on wrong answers.

+ Money - 100-Question Paper (Grade 1)

A 100-question Grade 1 money practice paper with money diagrams and step-by-step working auto-revealed on wrong answers.

+ Time - 100-Question Paper (Grade 1)

A 100-question Grade 1 time practice paper with clock diagrams and step-by-step working auto-revealed on wrong answers.

+ Rounding - 100-Question Paper (Grade 1)

A 100-question Grade 1 rounding practice paper with number-line diagrams and step-by-step working auto-revealed on wrong answers.

+ Ordering Numbers - 100-Question Paper (Grade 1)

A 100-question Grade 1 ordering-numbers practice paper with step-by-step working auto-revealed on wrong answers.

+ Place Value — 100-Question Paper (Grade 1)

A 100-question Grade 1 place value practice paper with step-by-step working auto-revealed on wrong answers.

+ Multiplication and Division

A diagnostic ladder from Year 3 tens facts to Year 6 decimal fluency. Multiplying and dividing by 10, 100 and 1000.

+ Multiplying & Dividing Fractions

Cancel down, switch between mixed numbers and improper fractions, then multiply and divide by hand. Three tap-through steppers and simplest-form marking.

+ Fraction Problems

Multi-step non-calculator fraction problems — multiply and round to whole items, fractions of fractions, distance from 1, and finding what's left. Four interactive worked

+ Multiples and Times Tables

45-question GCSE maths paper on multiples, common multiples, and lowest common multiple. Basic to applied with worked solutions. Improve Tuition, Batley.

+ Prime Numbers Practice

45-question GCSE maths paper on prime numbers: recognising primes, listing primes, and prime factorisation basics. Worked solutions. Improve Tuition, Batley.

+ Calculation Problems

The four operations and the right order to use them, then money, measures and multi-step real-life problems. Every worked example shows the thinking and ends with a check

+ Factors: Lesson, Practice & Steps

The four operations and the right order to use them, then money, measures and multi-step real-life problems. Every worked example shows the thinking and ends with a check

+ Factors: Real-Life Word Problems

25-question GCSE maths word problems paper on factors and prime numbers. Real-life contexts with step-by-step solutions. Improve Tuition, Batley.

+ Fractions of an Amount

Find a fraction of a quantity — halves, thirds, quarters and beyond — with and without a calculator. Builds on the fractions strand for real-life problems.

+ Fractions

Multiplying, dividing, mixed numbers, and applied fraction problems.

+ Fractions, Decimals & Percentages

Converting between all three forms, percentages of an amount, and ordering.

+ Percentages: Increase, Decrease & Reverse

Increasing and decreasing amounts, the multiplier method, percentage change, and reverse percentages.

+ Substitution

Substituting numbers into expressions and formulas — coefficients, fractions, powers and negatives.

+ Perimeter & Area — Assessment

A challenging mixed assessment to test mastery under exam-style conditions.

+ LCM and HCF Practice

38-question GCSE maths paper on HCF and LCM. Listing method, prime factorisation, and word problems. Foundation to Higher GCSE. Improve Tuition, Batley.

+ Prime Factorisation

35-question GCSE maths paper on prime numbers, factor trees, indices, and prime factorisation. Grade 4–6 with worked solutions. Improve Tuition, Batley.

+ Angles — 100 Question Paper (Grade 3)

100-question grade-locked Angles paper across five difficulty bands. Mark scheme and print stylesheet included.

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