Transition to university

This question takes the student through variety of examples of quadratic inequalities by asking them for the range(s) for which $x$ meets the inequality.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Solve a linear equation of the form $ax+b = c$, where $a$, $b$ and $c$ are integers.

The answer is always an integer.

Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Calculate the interest accrued in a savings account, given the initial balance and annual interest rate.

Given five fractions, identify the one which is not equivalent to the others by reducing to lowest terms.

Given five fractions, identify the odd fraction out. The denominators are mainly two or three digits long.

Work with lower and upper bounds for estimates of weight.

Round numbers to a given number of significant figures.

Estimate the result of an arithmetic operation by first rounding numbers to given significant figures

Round numbers to a given number of decimal places.

Round some large integers to the a given power of ten.

Estimate whether you can afford an extra item in a shop by rounding prices to the nearest 10p.

Estimate the number of buckets of paint to buy, by rounding measurements of a room up to the nearest metre and estimating the total area.

Calculate relative frequencies in a variety of scenarios.

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Given some coordinates, recognise which quadrant a point lies in, or which axis a point lies upon.

Represent a given probability to a decimal, fraction or percentage.

Given results from a survey about what people eat for breakfast, where some people eat one or both of cereal and toast. Student is asked to pick the probability of eating either one or the other from a list. Distractors pick out common errors.

Choose the probability of getting a tails, from four options.

A bag contains balls of three different colours. You're told how many there are of each, and asked the probability of picking a ball of a particular colour.

Given the probability that a basketball shot misses the hoop, find the probability that it's on target - use the law of total probability.

Calculations involving elementary probability, and several questions designed to draw out misconceptions to do with probability.

Determine whether outcomes are impossible or certain to occur.

Questions on presenting data in charts or tables.

Questions on powers, the laws of indices, and exponential growth.

Identify the plane transformation performed to create a given diagram.

A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

The amount of money a person gets on their birthday follows an arithmetic sequence.

Calculate the amount on a given birthday, then calculate the sum up to that point.

Given descriptions of some pairs of random events, pick the ones which are mutually exclusive.