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AQA GCSE Maths: Number — Practice Questions & Answers
A complete tour of the Number strand of AQA GCSE Mathematics (8300): place value and integers, factors, multiples, primes, HCF and LCM, the fractions-decimals-percentages triangle, percentage change and reverse percentages, simple and compound interest, indices, standard form, surds, rounding and estimation, and finally error intervals and bounds. These skills underpin almost every other topic on the course.
506 practice questions available for this topic — here are 10 with full answers and explanations.
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Practice questions with answers
1
Multiple choice · Easy
What is the value of the digit $7$ in the number $4\,723$?
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Why The $7$ is in the hundreds column, so its value is $7\times 100=700$.
2
Multiple choice · Easy
Which list places the numbers in order from smallest to largest? $-3,\;0,\;-5,\;2$
$-5,\;-3,\;0,\;2$
$-3,\;-5,\;0,\;2$
$0,\;2,\;-3,\;-5$
$2,\;0,\;-3,\;-5$
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Why Ordering negatives first, $-5\lt -3\lt 0\lt 2$.
3
Multiple choice · Easy
Calculate $-6+9$.
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Why Starting at $-6$ and adding $9$ gives $3$.
4
Multiple choice · Easy
Which of these numbers is a prime number?
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Why A prime has exactly two factors, $1$ and itself. $29$ is prime; $21=3\times 7$, $27=3^{3}$, $33=3\times 11$.
5
Multiple choice · Easy
What is $\frac{3}{5}$ written as a decimal?
$0.6$
$0.35$
$0.53$
$1.67$
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Why $\frac{3}{5}=\frac{6}{10}=0.6$.
6
Multiple choice · Easy
What is $25\%$ of $80$?
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Why $25\%$ is one quarter, and $80\div 4=20$.
7
Multiple choice · Easy
Work out $0.7\times 0.4$.
$0.28$
$2.8$
$0.028$
$28$
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Why $7\times 4=28$ and there are two decimal places in total, so $0.7\times 0.4=0.28$.
8
Multiple choice · Easy
Round $3\,486$ to the nearest hundred.
$3\,500$
$3\,400$
$3\,490$
$3\,000$
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Why The tens digit is $8$, so round up: $3\,486$ rounds to $3\,500$.
9
Multiple choice · Easy
What is $5^{2}+3^{2}$?
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Why $5^{2}=25$ and $3^{2}=9$, so $25+9=34$.
10
Multiple choice · Medium
Find the Highest Common Factor (HCF) of $24$ and $36$.
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Why $24=2^{3}\times 3$ and $36=2^{2}\times 3^{2}$. The HCF is $2^{2}\times 3=12$.
Key terms in Number
Integer: A whole number that can be positive, negative or zero, such as $-3$, $0$ or $7$. Integers have no fractional or decimal part.
Natural number: A positive whole number used for counting, such as $1$, $2$, $3$ and so on. Some definitions also include $0$.
Digit: A single symbol from $0$ to $9$ used to write numbers. The number $452$ is made from the digits $4$, $5$ and $2$.
Place value: The value a digit has because of its position in a number. In $356$ the digit $3$ has a place value of $300$.
Positive number: A number greater than zero, often written with or without a plus sign, such as $5$ or $+5$.
Negative number: A number less than zero, written with a minus sign, such as $-4$. It lies to the left of zero on a number line.
Number line: A straight line with numbers placed at equal intervals, used to order numbers and carry out addition and subtraction.
Even number: A whole number exactly divisible by $2$ with no remainder, such as $2$, $4$ or $10$.
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