Mathematics J560,04 Higher November 2021 , OCR GCSE Past Papers with Mark Schemes

1. Probability and Statistics – Finding the probability of getting a prime number when rolling two four-sided dice; completing a probability tree diagram and interpreting its reliability.

2. Financial Mathematics and Percentage Calculations – Determining the best value for money between different milk carton sizes; calculating the percentage growth rate and predicting population using an exponential model.

3. Algebra and Equations – Solving a system of equations involving a linear and a quadratic equation algebraically; finding the nth term formula of a quadratic sequence.

4. Geometry and Trigonometry – Proving the similarity of triangles using angle properties; calculating the side length of a triangle using the cosine rule.

5. Graphs and Transformations – Identifying functions based on their graphs, including polynomial and trigonometric functions; sketching transformations of cubic graphs.

6. Circle Theorems and Tangents – Showing that the length of a tangent from a point to a circle satisfies a given calculation; finding the area of a triangle where its sides are tangents to a circle.