Two questions on solving systems of simultaneous equations.

Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

Some questions on fundamental mathematical and SI skills required in psychology.

A resource for Business students to practise calculating Normal probabilities and finding $Z$-values. 

Mini-test on concentration of solutions.

Statistics and probability. Questions asking student to calculate and interpret Pearson and Spearman correlation coefficients.

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

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

Mini-test on diluting solutions.

Testing your ability to manipulate SI units.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

4 questions involving hyperbolic functions.

Three questions on using the Student $t$ distribution to perform hypothesis tests.

Implicit differentiation including finding tangents

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

5 questions on using substitution to find indefinite integrals.

4 questions on integrating by parts.

Three items of work done on a car. Given total price, and a couple of ratios of prices between pairs of items, work out the cost of one of the items.

Based on question 4 from section 3 of the Maths-Aid workbook on numerical reasoning.

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.

Following part 2, "Questions on Data Tables", from the Maths Aid workbook "Numerical reasoning tests".

Only doing the first 4 questions because the others involve trends that need lots more thinking about how to randomise.

Not finished!

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

Given the selling price of an item both as a cash amount and as a percentage of the cost of production, find the cost of production and the profit.

Based on question 1 from section 3 of the Maths-Aid workbook on numerical reasoning.

Given cost of production and price of sale of a product; a percentage increase in cost of production; and unit sales before and after; work out the extra profit.

Based on question 6 from section 3 of the maths-aid workbook on numerical reasoning.

Given percentages of males and females working on a project, and the percentage of the total staff who are male (or female), find the percentage of all staff working on the project.

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

Based on section 3 of the maths-aid/mathcentre workbook on numerical reasoning.

Questions about percentage and ratio, applied to finance.

Based on section 3.2 of the Maths-Aid workbook on numerical reasoning.

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