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

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.

Find an integral by choosing a suitable substitution.

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

This is a test of the Numbas math question examiner

First- and second order recurrence equations, homogenous and nonhomogenous

Questions using Pythagoras' theorem involving integers and surds. 

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Assessment questions for First Order Differential Equations (1)

Solve a system of linear equations using Gaussian elimination.

Two questions on solving systems of simultaneous equations.

Find the determinants of three $2 \times 2$ invertible matrices.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Solve a pair of linear equations by writing an equivalent matrix equation.

Questions which rely on knowledge of standard integrals.

Find an integral by choosing a suitable substitution.

Integrate the product of two functions by the method of integration by parts.

Integrate various functions by rewriting them as partial fractions.

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.