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Rearranging formulae

Edexcel GCSE Maths

Topic questions Pure mathematics Rearranging formulae

Rearranging formulae

27 questions · 94 marks · about 2 hours

Rearranging formulae questions

Paper 3 June 2025 Foundation tier, Question 23 3 marks

23Ben is trying to make m the subject of p = $fraction$ + 5 Here is his working.

$Question 23, shown as an image$

m = 3 p – 5 Ben’s answer is wrong.

(a)

What mistake has Ben made?

[1]

Reveal mark scheme

(b)

Factorise fully 2x³y + 4xy²

[2]

Reveal mark scheme

Paper 3 June 2025 Higher tier, Question 2 3 marks

Ben is trying to make m the subject of p = $fraction$ + 5 Here is his working.

$Question 2, shown as an image$

m = 3 p – 5 Ben’s answer is wrong.

(a)

What mistake has Ben made?

[1]

Reveal mark scheme

(b)

Factorise fully 2x³y + 4xy²

[2]

Reveal mark scheme

Paper 1 November 2024 Foundation tier, Question 25 2 marks

Make w the subject of the formula y = 3 w – 10

[2]

Reveal mark scheme

Paper 3 November 2024 Higher tier, Question 15 4 marks

$Question 15, shown as an image$

[4]

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Paper 3 June 2024 Foundation tier, Question 29 4 marks

w = 40 – t²

(a)

Calculate the value of w when t = –5

$Question 29, shown as an image$

[2]

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(b)

Make h the subject of the formula.

[2]

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Paper 2 November 2023 Foundation tier, Question 22, also on the Higher paper 6 marks

(a)

Expand and simplify 3 (2 y − 5) + 7 (y + 2)

[2]

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(b)

Factorise fully 6x² + 15x

[2]

Reveal mark scheme

(c)

Make g the subject of the formula f = 3g + 11

[2]

Reveal mark scheme

Paper 2 November 2023 Higher tier, Question 1, also on the Foundation paper 6 marks

(a)

Expand and simplify 3(2y − 5) + 7(y + 2)

[2]

Reveal mark scheme

(b)

Factorise fully 6x² + 15x

[2]

Reveal mark scheme

(c)

Make g the subject of the formula f = 3g + 11

[2]

Reveal mark scheme

Paper 3 November 2023 Higher tier, Question 10 3 marks

$Question 10, shown as an image$

[3]

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Paper 1 June 2023 Higher tier, Question 17 4 marks

$Question 17, shown as an image$

[4]

Reveal mark scheme

Paper 3 November 2022 Foundation tier, Question 21, also on the Higher paper 2 marks

Make a the subject of the formula p = 3 a − 9

[2]

Reveal mark scheme

Paper 3 November 2022 Higher tier, Question 1, also on the Foundation paper 2 marks

Make a the subject of the formula p = 3a − 9

[2]

Reveal mark scheme

Paper 3 June 2022 Foundation tier, Question 23, also on the Higher paper 4 marks

T = 4m² − 11

(a)

Work out the value of T when m = − 3

[2]

Reveal mark scheme

(b)

Make p the subject of the formula d = 3p + 4

[2]

Reveal mark scheme

Paper 3 June 2022 Higher tier, Question 2, also on the Foundation paper 4 marks

T = 4m² − 11

(a)

Work out the value of T when m = − 3

[2]

Reveal mark scheme

(b)

Make p the subject of the formula d = 3p + 4

[2]

Reveal mark scheme

Paper 1 November 2021 Higher tier, Question 11 4 marks

Also involves Area and perimeter

The diagram shows two rectangles, A and B.

All measurements are in centimetres. The area of rectangle A is equal to the area of rectangle B. Find an expression for y in terms of w.

[4]

Reveal mark scheme

Paper 2 November 2021 Higher tier, Question 21 4 marks

21The time period, T seconds, of a simple pendulum of length lcm is given by the formula

Katie uses a simple pendulum in an experiment to find an estimate for the value of g. Here are her results. l = 52.0 correct to 3 significant figures. T = 1.45 correct to 3 significant figures. Work out the upper bound and the lower bound for the value of g. Use π = 3.142 You must show all your working.

[4]

Reveal mark scheme

Paper 1 November 2020 Foundation tier, Question 30 3 marks

(a)

Make q the subject of p = 6 q + 7

[2]

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(b)

Simplify (m^–2)^–3

[1]

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Paper 1 November 2020 Higher tier, Question 17 4 marks

17Make f the subject of the formula d = $fraction$

[4]

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Paper 1 November 2019 Higher tier, Question 12 1 mark

Here is Spencer’s method to make q the subject of the formula.

q = 2 T – 5

What mistake did Spencer make in the first line of his method?

[1]

Reveal mark scheme

Paper 2 November 2019 Higher tier, Question 10 2 marks

Also involves Surds

$Question 10, shown as an image$

[2]

Reveal mark scheme

Paper 2 June 2019 Higher tier, Question 15 3 marks

Make m the subject of the formula f = $fraction$

[3]

Reveal mark scheme

Paper 3 June 2019 Foundation tier, Question 19 2 marks

Make x the subject of the formula y maths symbol x + 4

[2]

Reveal mark scheme

Paper 1 November 2018 Foundation tier, Question 21, also on the Higher paper 4 marks

(a)

Work out a value of v.

[2]

Reveal mark scheme

(b)

[2]

Reveal mark scheme

Paper 1 November 2018 Higher tier, Question 2, also on the Foundation paper 4 marks

(a)

Work out a value of v.

[2]

Reveal mark scheme

(b)

[2]

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Paper 3 June 2018 Foundation tier, Question 28 3 marks

$Question 28, shown as an image$

28 Make g the subject of the formula T = $fraction$

[3]

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Paper 1 November 2017 Higher tier, Question 14 3 marks

The ratio (y + x): (y – x) is equivalent to k: 1

$Question 14, shown as an image$

[3]

Reveal mark scheme

Paper 3 June 2017 Foundation tier, Question 11 4 marks

T = 4 v + 3

(a)

Work out the value of T when v = 2

[2]

Reveal mark scheme

(b)

Make v the subject of the formula T = 4 v + 3

[2]

Reveal mark scheme

Paper 3 June 2017 Higher tier, Question 14 6 marks

$Question 14, shown as an image$

[3]

Reveal mark scheme

(b)

$Question 14, shown as an image$

[3]

Reveal mark scheme

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Rearranging formulae

Rearranging formulae questions

Edexcel 1MA1 Rearranging formulae 27 questions

Paper 3 June 2025 Foundation tier, Question 23 Foundation Paper 3 · June 2025 · Question 23 3 marks

Paper 3 June 2025 Higher tier, Question 2 Higher Paper 3 · June 2025 · Question 2 3 marks

Paper 1 November 2024 Foundation tier, Question 25 Foundation Paper 1 · November 2024 · Question 25 2 marks

Paper 3 November 2024 Higher tier, Question 15 Higher Paper 3 · November 2024 · Question 15 4 marks

Paper 3 June 2024 Foundation tier, Question 29 Foundation Paper 3 · June 2024 · Question 29 4 marks

Paper 2 November 2023 Foundation tier, Question 22, also on the Higher paper Foundation Paper 2 · November 2023 · Question 22 Also on Higher 6 marks

Paper 2 November 2023 Higher tier, Question 1, also on the Foundation paper Higher Paper 2 · November 2023 · Question 1 Also on Foundation 6 marks

Paper 3 November 2023 Higher tier, Question 10 Higher Paper 3 · November 2023 · Question 10 3 marks

Paper 1 June 2023 Higher tier, Question 17 Higher Paper 1 · June 2023 · Question 17 4 marks

Paper 3 November 2022 Foundation tier, Question 21, also on the Higher paper Foundation Paper 3 · November 2022 · Question 21 Also on Higher 2 marks

Paper 3 November 2022 Higher tier, Question 1, also on the Foundation paper Higher Paper 3 · November 2022 · Question 1 Also on Foundation 2 marks

Paper 3 June 2022 Foundation tier, Question 23, also on the Higher paper Foundation Paper 3 · June 2022 · Question 23 Also on Higher 4 marks

Paper 3 June 2022 Higher tier, Question 2, also on the Foundation paper Higher Paper 3 · June 2022 · Question 2 Also on Foundation 4 marks

Paper 1 November 2021 Higher tier, Question 11 Higher Paper 1 · November 2021 · Question 11 4 marks

Paper 2 November 2021 Higher tier, Question 21 Higher Paper 2 · November 2021 · Question 21 4 marks

Paper 1 November 2020 Foundation tier, Question 30 Foundation Paper 1 · November 2020 · Question 30 3 marks

Paper 1 November 2020 Higher tier, Question 17 Higher Paper 1 · November 2020 · Question 17 4 marks

Paper 1 November 2019 Higher tier, Question 12 Higher Paper 1 · November 2019 · Question 12 1 mark

Paper 2 November 2019 Higher tier, Question 10 Higher Paper 2 · November 2019 · Question 10 2 marks

Paper 2 June 2019 Higher tier, Question 15 Higher Paper 2 · June 2019 · Question 15 3 marks

Paper 3 June 2019 Foundation tier, Question 19 Foundation Paper 3 · June 2019 · Question 19 2 marks

Paper 1 November 2018 Foundation tier, Question 21, also on the Higher paper Foundation Paper 1 · November 2018 · Question 21 Also on Higher 4 marks

Paper 1 November 2018 Higher tier, Question 2, also on the Foundation paper Higher Paper 1 · November 2018 · Question 2 Also on Foundation 4 marks

Paper 3 June 2018 Foundation tier, Question 28 Foundation Paper 3 · June 2018 · Question 28 3 marks

Paper 1 November 2017 Higher tier, Question 14 Higher Paper 1 · November 2017 · Question 14 3 marks

Paper 3 June 2017 Foundation tier, Question 11 Foundation Paper 3 · June 2017 · Question 11 4 marks

Paper 3 June 2017 Higher tier, Question 14 Higher Paper 3 · June 2017 · Question 14 6 marks

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Paper 3 June 2025 Foundation tier, Question 23 3 marks

Paper 3 June 2025 Higher tier, Question 2 3 marks

Paper 1 November 2024 Foundation tier, Question 25 2 marks

Paper 3 November 2024 Higher tier, Question 15 4 marks

Paper 3 June 2024 Foundation tier, Question 29 4 marks

Paper 2 November 2023 Foundation tier, Question 22, also on the Higher paper 6 marks

Paper 2 November 2023 Higher tier, Question 1, also on the Foundation paper 6 marks

Paper 3 November 2023 Higher tier, Question 10 3 marks

Paper 1 June 2023 Higher tier, Question 17 4 marks

Paper 3 November 2022 Foundation tier, Question 21, also on the Higher paper 2 marks

Paper 3 November 2022 Higher tier, Question 1, also on the Foundation paper 2 marks

Paper 3 June 2022 Foundation tier, Question 23, also on the Higher paper 4 marks

Paper 3 June 2022 Higher tier, Question 2, also on the Foundation paper 4 marks

Paper 1 November 2021 Higher tier, Question 11 4 marks

Paper 2 November 2021 Higher tier, Question 21 4 marks

Paper 1 November 2020 Foundation tier, Question 30 3 marks

Paper 1 November 2020 Higher tier, Question 17 4 marks

Paper 1 November 2019 Higher tier, Question 12 1 mark

Paper 2 November 2019 Higher tier, Question 10 2 marks

Paper 2 June 2019 Higher tier, Question 15 3 marks

Paper 3 June 2019 Foundation tier, Question 19 2 marks

Paper 1 November 2018 Foundation tier, Question 21, also on the Higher paper 4 marks

Paper 1 November 2018 Higher tier, Question 2, also on the Foundation paper 4 marks

Paper 3 June 2018 Foundation tier, Question 28 3 marks

Paper 1 November 2017 Higher tier, Question 14 3 marks

Paper 3 June 2017 Foundation tier, Question 11 4 marks

Paper 3 June 2017 Higher tier, Question 14 6 marks