The student is shown an exponential graph and asked to evaluate the function at some given value.

They are also asked whether or not the model is valid for all real inputs, but they only give a yes/no response. The reasoning is explained in the advice but is not required from students.

Students are given an exponential equation and asked to evaluate it at two points.

The constants in the exponential are randomised.

Students are shown an exponential curve and asked to identify it as either linear, parabolic, hyperbolic or exponential.

Students are shown an exponential function formula and asked to identify the correct graph, given an exponential, a hyperbola, a parabola and a line.

Students are shown an exponential graph and asked to choose the correct formula for the graph.

Shows an exponential graph displaying the value of an investment under compound interest. Students have to identify the type of graph and answer 3 questions about the value of the investment from the graph.

Data from a compound interest are shown in a table. Students are asked to compute the value of an investment, and to identify the type of graph.

Students are given a formula for compound interest and asked to evaluate it for given initial investment values.

Derive the expressions for the shear and bending moment as functions of $x$ for a cantilever beam with a uniformly varying (triangular) load.

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

Filling in the table of powers of ten.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Given the cost of hiring a room for a given number of hours, compare with competing prices given per hour and per minute.

A question to practise the following skills in the context of Earth Sciences:

• using a data set to deduce a linear relationship
• using the graph to make predictions

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Questions testing understanding of the precedence of operators using BIDMAS. These questions only test BDMAS. That is, they test Brackets, Division/Multiplication and Addition/Subtraction.

Calculate a rate of pay (in pounds per week) given the total pay over a given period of time.

Given the probabilities that each of four out of five friends will win a round of mini-golf, work out the probability that the fifth friend won't win, then use that to find the probability that they will win.

Given a description in words of the costs of some items in terms of an unknown cost, write down an expression for the total cost of a selection of items. Then simplify the expression, and finally evaluate it at a given point.

The word problem is about the costs of sweets in a sweet shop.

Given a student discount, calculate a discounted price.

This question assesses

• the students ability to apply both theoretical and experimental probability to calculate expected values 
• the students understanding of how to calculate the relative frequency of an outcome

The question also helps to show students how using experimental probability and theoretical probability results in different expected values of an outcome.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

This question assesses the students ability to calculate and convert between different types of compound units, including rates of pay, speed and unit pricing.

Find the original price before a discount by dividing the new price by the percentage discount.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

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.

No description given

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.

Calculating the derivative of a function of the form $\sin(ax^m+bx^n)$ using the chain rule.