Given the specifications of two vectors, draw the parallelogram representing their sum, then estimate length of the diagonal. 

Given three vectors with integer components, find the corresponding magnitude and direction.

Find the magnitude and direction of a force given its scalar components.

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given a height in centimetres and another height in metres, and are asked to write the ratio of the two heights in simplest form. There are 16 versions of this question.

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given the number of bagels baked, in a number of hours, and need to calculate the number baked per half-hour. There are 6 different versions of this question.

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given a proportion of staff who either have or haven't completed their reports. They are asked to find the complement, as a percentage. There are 6 different versions of this question. 

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Students are always given the same map of Western Australia and asked to select the one incorrect statement from four statements. The statements are randomly selected from four incorrect statements and twelve correct statements in total. 

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Student must calculate distance swum in km given number of laps of 50m pool, days of week and weeks in term. These variables are randomly selected.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students calculate the cost of the halogen globes given electricity cost, number of globes, number of years, replacement cost and lifespan of globes. Some of these variables are randomly selected. There are more than 10 different versions of this question.

Taken from question 37 of the book Problem Solving in GCSE Mathematics by Daniel Griller.

Given bearings and lengths of two straight lines, work out the bearing and distance back to the starting point.

A Eukleides diagram shows the setup visually.

Given 3 vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, find the constants $p$, $q$ and $k$ such that $ p\mathbf a + q \mathbf b = \mathbf c$, where $k$ is an unknown component of $\mathbf c$ .

Given 3 vectors $\mathbf v$, $\mathbf a$ and $\mathbf b$, find the constants $c_1$ and $c_2$ such that $\mathbf v = c_1 \mathbf a + c_2 \mathbf b$ .

(a) Equation given, and five coordinates. Student should select those coordinates which lie on the line. (b) Gradient and a point on line is given. Student is to calculate coordinates of other points on the line.

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

The table uses the spreadsheet extension.

 Students must derive the shear and bending moment functions for beam loaded with a parabolic distributed load described with a loading function.  Diagrams are given, but the students must derive the equations by integration.

Calculate an intersection probability given a two way table.

Given the number of international students enrolled on a course of $n$ students, calculate the percentage of 'home' students.

Calculate the percentage increase (as a percentage) given a number and the size of the increase.

Given a student discount, calculate a discounted price.

Round numbers to a given number of significant figures.

Round numbers to a given number of significant figures.

Round numbers to a given number of decimal places.

Calculate the change from a note given two costs.

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.

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.

Finding the area of a circle when given the diameter of the circle.

Evaluating a linear function for a given value of $x$.

Basic calculation from a sum given in Sigma notation.

Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration. 

Two functions given in words. Write down the function definition. The numbers in the function definitions are randomised.