Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.

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

This is a simple question testing the student on their ability to calculate the lowest common multiple of two integers which are: 

Part a) - coprime;

Part b) - where the greatest common divisor between the two integers is greater than one and not equal to either given number; and

Part c) - where one of the integer is a multiple of the other. 

This question tests the student's ability to identify the factors of some composite numbers and the highest common factors of two numbers. 

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Find the lowest common multiple and highest common factors of given numbers. Also a question on identifying prime numbers.

Given an equation with an unknown, determine if the unknown is positive or negative.

First part is the product of two numbers; second part is the product of three.

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.

Given the common difference and first term of an arithmetic sequence, work out the index of the nth term of the sequence.

Framed as a word problem with ticket numbers in an ice cream shop.

Given the first and last terms of a finite arithmetic sequence, calculate the number of elements and then the sum of the sequence.

Each part is broken into steps, with the formula given.

First part asks for the probability of rolling an even number. Second part asks for the probability of not rolling either of two given numbers.

This question assesses the students ability to find the expected number of times an event occurs given the probability of the event occurring for a single trial and the total number of trials.

Decide whether statements about square and cube numbers are always true, sometimes true or never true.

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Rolling a pair of dice. Find probability that at least one die shows a given number.

Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

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 $\mod b$.

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 $\mod b$.

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

This question shows how to ask for a number in scientific notation, by asking for the significand and exponent separately and using a custom marking algorithm in the gap-fill part to put the two pieces together.

Answers not in standard form, i.e. with a significand not in $[1,10)$, are accepted but given partial marks.