Basic solving of linear equations

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

A question testing the application of the Sine Rule when given two sides and an angle.  In this question the triangle is obtuse and the first angle to be found is obtuse.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Give the student three points lying on a quadratic, and ask them to find the roots.

Then ask them to find the equation of the quadratic, using their roots. Error in calculating the roots is carried forward.

Finally, ask them to find the midpoint of the roots (just for fun). Error is carried forward again.

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

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Factorising further basic quadratics into linear factors.

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A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.

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This question allows you to practice working out a fraction of an amount.

It is designed for you to complete without a calculator.

Given ratio of ingredients in a preparation, and amounts of each ingredient, work out how much of the preparation you can make.

Based on question 5 from section 3 of the maths-aid workbook on numerical reasoning.

Working with powers

Working with powers

Working with powers

Add, subtract, multiply and divide algebraic fractions.

Add, subtract, multiply and divide algebraic fractions.

Simplifying algebraic expressions

Simplifying algebraic expressions

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.