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Evaluate a composition of functions for a randomised numerical input. The functions are 3t+2 and t+3. This is part of HELM Book 2.1.3.

Add, subtract, multiply and divide numerical fractions.

Fractions already have a common denominator. Addition and subtraction 50:50 split, when subtracting, the answer is negative half the time. Students shouldn't have to worry about reducing fractions by design.

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

Evaluate a linear function at 3 numerical inputs.

Examples of the following custom part types: Yes/no, List of numbers, Give a numerical input for an expression, Number entry modulo.

Factorise two algebraic terms that have a numerical gcd > 1. Part of HELM book 1.3

Equivalent fractions, simplifying, adding, subtracting, multiplying and dividing fractions. Converting between mixed numbers and improper fractions.

Given an annual salary, tax allowance, tax rate and pension deduction, work out a person's take-home pay per month.

Given the stakes of three people in a lottery syndicate, and the amount the syndicate won, work out each person's share of the winnings.

Based on question 4 from section 3.2 of the Maths-Aid workbook on numerical reasoning.

This question tests the ability to read and interpret numerical data summarised in a table and make predictions based on algebraic skills.

Differentiate $f(x) = (a x + b)/ \sqrt{c x + d}$ and find $g(x)$ such that $ f^{\prime}(x) = g(x)/ (2(c x + d)^{3/2})$.

Calculate the distance between two points along the surface of a sphere using the cosine rule of spherical trigonometry. Context is two places on the surface of the Earth, using latitude and longitude.

The question is randomised so that the numerical values for Latitude for A and B will be positive and different (10-25 and 40-70 degrees). As will the values for Longitude (5-25 and 50-75). The question statement specifies both points are North in latitude, but one East and one West longitude, This means that students need to deal with angles across the prime meridian, but not the equator.

Students first calculate the side of the spherical triangle in degrees, then in part b they convert the degrees to kilometers. Part a will be marked as correct if in the range true answer +-1degree, as long as the answer is given to 4 decimal places. This allows for students to make the mistake of rounding too much during the calculation steps.

These questions focus on calculating percentages in numerical reasoning tests.

These questions are part of a numerical reasoning test which focuses on comparing the data in different categories, or comparing total data.

This questions is for thos epractising numerical reasoning tests. Here the focus is on manipulating the data using the 4 basic maths operations.

These questions focus on using the 4 basic maths operations to answer numerical reasoning tests.

Practise numerical reasoning question - reading graphs

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The electrostatic potential due to a point charge is calculated at three points, who of which are at the same distance but different directions.  This relates to the idea that the equipoptentials of a point charge are spheres centred on the charge, so all points at the same distance are at the same potential.

This question requires unit conversion, numerical calculations and some critical evaluation.

Questions about percentage and ratio, applied to finance.

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

Add, subtract, multiply and divide numerical fractions.

Add, subtract, multiply and divide numerical fractions.

Add, subtract, multiply and divide numerical fractions.

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Questions testing understanding of numerators and denominators of numerical fractions.