OCR A GCSE Maths revision

Topic 1: Number

There are 7 parts: we start with calculations, fractions and percentages, and finish with systematic listing and the product rule for counting.

1. 1.1Calculations, fractions and percentagesFree 55 questions
2. 1.2Factors, multiples, primes, HCF and LCM68 questions
3. 1.3Indices, surds and standard form17 questions
4. 1.4Recurring decimals and converting to fractions54 questions
5. 1.5Rounding, significant figures and estimation54 questions
6. 1.6Error intervals and upper and lower bounds47 questions
7. 1.7Systematic listing and the product rule for counting52 questions

Topic 2.1: Algebra: notation, manipulation and proof

There are 5 parts: we start with expressions, equations and inequalities, and finish with functions.

1. 2.1.1Expressions, equations and inequalitiesFree 33 questions
2. 2.1.2Factorising quadratics and the difference of two squaresFree 13 questions
3. 2.1.3Algebraic fractions and rearranging formulae29 questions
4. 2.1.4Algebraic proof and identities37 questions
5. 2.1.5Functions: notation, composite and inverse functions27 questions

Topic 2.2: Algebra: graphs

There are 7 parts: we start with equations of straight lines, parallel and perpendicular lines, and finish with solving equations graphically.

1. 2.2.1Equations of straight lines, parallel and perpendicular linesFree 24 questions
2. 2.2.2Quadratic, cubic and reciprocal graphs21 questions
3. 2.2.3Exponential and trigonometric graphs57 questions
4. 2.2.4Equation of a circle and tangents56 questions
5. 2.2.5Transformations of graphs7 questions
6. 2.2.6Gradients of curves and areas under graphs29 questions
7. 2.2.7Solving equations graphically34 questions

Topic 2.3: Algebra: solving equations and inequalities

There are 6 parts: we start with solving quadratic equations by factorising and the formula, and finish with iteration and numerical methods.

1. 2.3.1Solving quadratic equations by factorising and the formula30 questions
2. 2.3.2Completing the square and turning points49 questions
3. 2.3.3Simultaneous equations with a quadratic (linear and non-linear)28 questions
4. 2.3.4Quadratic inequalities16 questions
5. 2.3.5Graphical inequalities and regions31 questions
6. 2.3.6Iteration and numerical methods50 questions

Topic 2.4: Algebra: sequences

There are 2 parts: we start with graphs, sequences and simultaneous equations, and finish with quadratic, geometric and special sequences (nth term).

1. 2.4.1Graphs, sequences and simultaneous equations45 questions
2. 2.4.2Quadratic, geometric and special sequences (nth term)50 questions

Topic 3: Ratio, proportion and rates of change

There are 8 parts: we start with units and conversions (metric, imperial, time and currency), and finish with real-life graphs.

1. 3.1Units and conversions (metric, imperial, time and currency)62 questions
2. 3.2Ratio and proportionFree 57 questions
3. 3.3Reverse percentages and percentage change52 questions
4. 3.4Compound measures and rates68 questions
5. 3.5Direct and inverse proportion with graphs47 questions
6. 3.6Proportionality equations (y ∝ x², y ∝ 1/x, y ∝ x³)38 questions
7. 3.7Compound interest, growth and decay47 questions
8. 3.8Real-life graphs: distance-time and velocity-time64 questions

Topic 4: Geometry and measures

There are 8 parts: we start with angles, shapes and Pythagoras, and finish with vectors and vector geometry.

1. 4.1Angles, shapes and PythagorasFree 54 questions
2. 4.2Constructions and loci68 questions
3. 4.3Bearings and scale drawings61 questions
4. 4.4Transformations: translation, reflection, rotation and enlargement59 questions
5. 4.5Congruence and similarity60 questions
6. 4.6Circle theorems65 questions
7. 4.7Trigonometry, area and volume69 questions
8. 4.8Vectors and vector geometry53 questions

Topic 5: Probability

Probability is the maths of chance: how likely things are, and what we should expect to happen.

We will use probability scales, tree diagrams and two-way tables, and estimate probabilities from experiments.

Then we use set notation and Venn diagrams, and work with conditional probability and dependent events.

1. 5.1Probability and diagramsFree 68 questions
2. 5.2Relative frequency and expected outcomes66 questions
3. 5.3Set notation and Venn diagrams58 questions
4. 5.4Conditional probability and dependent events64 questions

Topic 6: Statistics

There are 7 parts: we start with data collection, sampling and capture-recapture, and finish with comparing distributions and misleading statistics.

1. 6.1Data collection, sampling and capture-recapture72 questions
2. 6.2Averages and data representationFree 70 questions
3. 6.3Cumulative frequency, quartiles and box plots66 questions
4. 6.4Histograms and frequency density59 questions
5. 6.5Scatter graphs, correlation and lines of best fit70 questions
6. 6.6Time series and moving averages68 questions
7. 6.7Comparing distributions and misleading statistics70 questions

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