GCSE OCR Maths Past Paper Questions by Topic

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General

Number

TopicGradeSolutions
Addition and Subtraction1Solutions
Multiplication and Division1Solutions
Time1Solutions
Writing, Simplifying and Ordering Fractions1Solutions
Place Value1Solutions
Rounding1Solutions
Negative Numbers1Solutions
Powers and Roots1Solutions
Order of Operations1Solutions
Factors, Multiples and Primes1Solutions
Calculation Problems2Solutions
Using a Calculator2Solutions
Systematic Listing2Solutions
Fractions of an Amount2Solutions
Fractions, Decimals and Percentages2Solutions
Error Intervals3Solutions
Fractions3Solutions
Estimation3Solutions
HCF and LCM4Solutions
Standard Form5Solutions
Converting Recurring Decimals to Fractions6Solutions
Fractional and Negative Indices6Solutions
The Product Rule for Counting6Solutions
Surds7Solutions
Bounds7Solutions

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Algebra

TopicGradeSolutions
Coordinates1Solutions
Simplifying Algebra2Solutions
Writing an Expression2Solutions
Function Machines2Solutions
Solving One Step Equations2Solutions
Substitution3Solutions
Solving Equations3Solutions
Linear Graphs3Solutions
Indices4Solutions
Real Life Graphs4Solutions
Inequalities4Solutions
Forming and Solving Equations4Solutions
Sequences (nth term)4Solutions
Expand and Factorise4Solutions
Changing the Subject of a Formula5Solutions
Expanding and Factorising Quadratics5Solutions
Solving Quadratics5Solutions
Quadratic Graphs5Solutions
Cubic/Reciprocal Graphs5Solutions
Simultaneous Equations5Solutions
Solving Simultaneous Equations Graphically5Solutions
Gradient of a Line5Solutions
Equation of a Line5Solutions
Expanding Triple Brackets6Solutions
Inequalities Regions6Solutions
Compound and Inverse Functions7Solutions
Iteration7Solutions
Quadratic Simultaneous Equations8/9Solutions
Transforming Graphs y=f(x)8/9Solutions
Proof8/9Solutions
Completing the Square8/9Solutions
Quadratic Sequences8/9Solutions
Quadratic Inequalities8/9Solutions
Velocity Time Graphs8/9Solutions

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Ratio, Proportion and Rates of Change

TopicGradeSolutions
Writing and Simplifying Ratio3Solutions
Sharing Ratio3Solutions
Proportion Ingredients Questions3Solutions
Percentages3Solutions
Percentage Change3Solutions
Exchange Rates3Solutions
Best Buys3Solutions
Conversions and Units3Solutions
Scale Drawings3Solutions
Compound Interest and Depreciation4Solutions
Ratio Problems5Solutions
Ratio Problems 25Solutions
Direct and Inverse Proportion5Solutions
Reverse Percentages5Solutions
Compound Measures5Solutions
Repeated Percentage Change6Solutions
Direct and Inverse Proportion7Solutions
Quadratic Formula7Solutions
Factorising Harder Quadratics7Solutions
Algebraic Fractions7Solutions
Rearranging Harder Formulae7Solutions

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Geometry and Measures

TopicGradeSolutions
Angles2Solutions
Area and Perimeter2Solutions
Circles3Solutions
Rotations3Solutions
Reflections3Solutions
Enlargements3Solutions
Translations3Solutions
Mixed Transformations3Solutions
Area of Compound Shapes3Solutions
Pythagoras4Solutions
Angles in Parallel Lines4Solutions
Angles in Polygons4Solutions
Surface Area4Solutions
Volume of Prisms4Solutions
Volume and Surface Area of Cylinders4Solutions
Loci and Construction4Solutions
Bearings4Solutions
Plans and Elevations4Solutions
Spheres and Cones5Solutions
Sectors and Arcs5Solutions
Similar Shapes (Lengths)5Solutions
SOHCAHTOA5Solutions
Trigonometry Exact Values5Solutions
Vectors5Solutions
Parallel and Perpendicular Lines6Solutions
Similar Shapes (Area and Volume)6Solutions
Enlarging with Negative Scale Factors6Solutions
Circle Theorems7Solutions
Harder Graphs: Trig/Exponential7Solutions
Finding the Area of Any Triangle7Solutions
The Sine Rule7Solutions
The Cosine Rule7Solutions
Congruent Triangles7Solutions
3D Pythagoras and Trigonometry7Solutions
Proof of the Circle Theorems8/9Solutions
Perpendicular Lines8/9Solutions
Vectors8/9Solutions

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Probability

TopicGradeSolutions
Writing Probability and the Probability Scale2Solutions
Frequency Trees3Solutions
Two Way Tables3Solutions
Probability and Relative Frequency4Solutions
Probability Trees5Solutions
Venn Diagrams5Solutions
Conditional Probability7Solutions
Probability Equation Questions8/9Solutions

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Statistics

TopicGradeSolutions
Pictograms1Solutions
Frequency Polygons2Solutions
Mean, Median, Mode and Range2Solutions
Bar Charts2Solutions
Stem and Leaf2Solutions
Pie Charts2Solutions
Averages from Frequency Tables4Solutions
Scatter Graphs4Solutions
Cumulative Frequency6Solutions
Box Plots6Solutions
Capture Recapture7Solutions
Histograms7Solutions

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