Last updated on Sep 22, 2026

Algebra and number (AQA GCSE Further Maths): Quizzes

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Algebra and number

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What is $x$ increased by 13% as an algebraic expression?

$1.13x$

What is $x$ increased by 25% as an algebraic expression?

$1.25x$

In $1.13x$ (from $x$ increased by 13%), what does the coefficient 1.13 represent?

Original value (1) + increase (0.13)

If $p:q = 4:5$ using parts method, how many parts does $q$ represent?

5 parts

Given $p:q = 4:5$ , how many parts does $p + 2q$ represent?

14 parts

Given $p:q = 4:5$ , what is $p + 2q : 4q$ in simplest form?

$7:10$

If $p:q = 4:5$ , what is $p$ in terms of $q$ using the algebraic approach?

$p = \frac{4}{5}q$

If $a$ is 75% of $b$ , what is $a$ in terms of $b$ ?

$a = \frac{3}{4}b$

If $b:c = 3:2$ , what is $b$ in terms of $c$ ?

$b = \frac{3}{2}c$

If $a$ is 75% of $b$ and $b:c = 3:2$ , what is $a$ in terms of $c$ ?

$a = \frac{9}{8}c$

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Number and algebra I

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Number and algebra I

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Number and algebra I

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Number and algebra I

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