Introduction to algebra: past paper questions

Where the questions come from

• Question 3May/June 2026, paper 21Structured2 marks

  Find the value of $4x^2+3y$ when $x=5$ and $y=10$.

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• Question 8Oct/Nov 2025, paper 22Structured2 marks

  Kemi buys $p$ pens that each cost 40 cents.

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• Question 8Oct/Nov 2024, paper 23Structured2 marks

  Sacha buys $b$ books and $m$ magazines.

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• Question 3Oct/Nov 2023, paper 22Structured2 marks

  $v=u+at$ Find the value of $v$ when $u=30$, $a=-2$ and $t=7$.

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• Question 3Oct/Nov 2025, paper 43Structured1 mark

  $$G=\frac{4}{5}{m}^{2}n$$ Find the value of $G$ when $m=6$ and $n=15$.

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• Question 5Oct/Nov 2024, paper 43Structured8 marks

  Naomi runs $100\text{ m}$ in 15 seconds. Calculate Naomi's average speed in kilometres per hour.

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• Question 9Oct/Nov 2023, paper 23Structured3 marks

  $P=\frac{2w{y}^2}{3}$ Find the positive value of $y$ when $P=108$ and $w=8$.

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• Question 10May/June 2025, paper 42Structured3 marks

  A group of 12 adults and 9 children travel on a bus.

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• Question 4May/June 2023, paper 23Structured2 marks

  $v=u-9.8t$ Find the value of $v$ when $u=4$ and $t=-7$.

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