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WJEC GCSE Maths

Topic questions Pure mathematics Rearranging formulae

Rearranging formulae

27 questions · 135 marks · about 3 hours

Rearranging formulae questions

TopicRearranging formulae

WJEC 3300 Rearranging formulae 27 questions

Unit 2: Calculator-allowed June 2023 Intermediate tier, Question 11, also on the Higher paper 6 marks

(a)

Solve the equation 7 maths symbol 5maths symbolx maths symbol 2maths symbol maths symbol 3x maths symbol 8.

[3]
Reveal mark scheme Mark scheme for question 11(a)
(b)

Make f the subject of the formula h maths symbol 13 maths symbol 2 f.

[2]
Reveal mark scheme Mark scheme for question 11(b)
(c)

Factorise 15x maths symbol 35y.

[1]
Reveal mark scheme Mark scheme for question 11(c)

Unit 2: Calculator-allowed June 2023 Higher tier, Question 1, also on the Intermediate paper 6 marks

(a)

Solve the equation 7 maths symbol 5maths symbolx maths symbol 2maths symbol maths symbol 3x maths symbol 8.

[3]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Make f the subject of the formula h maths symbol 13 maths symbol 2 f.

[2]
Reveal mark scheme Mark scheme for question 1(b)
(c)

Factorise 15x maths symbol 35y.

[1]
Reveal mark scheme Mark scheme for question 1(c)

Unit 2: Calculator-allowed June 2022 Intermediate tier, Question 7 5 marks

(a)

Expand 4maths symbol3p maths symbol 5maths symbol.

[1]
Reveal mark scheme Mark scheme for question 7(a)
(b)

Make m the subject of the formula w maths symbol 8m maths symbol 3.

[2]
Reveal mark scheme Mark scheme for question 7(b)
(c)

Expand and simplify maths symboly maths symbol 5maths symbolmaths symboly maths symbol 4maths symbol.

[2]
Reveal mark scheme Mark scheme for question 7(c)

Unit 1: Non-calculator November 2021 Intermediate tier, Question 14, also on the Higher paper 5 marks

(a)

Rearrange the following formula to make k the subject.

p = 3k + 2

[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Does the midpoint of the straight line joining points (3, 15) and (7, 19) lie on the line y = 3x + 2?

You must show all your working.

[3]
Reveal mark scheme Mark scheme for question 14(b)

Unit 1: Non-calculator November 2021 Higher tier, Question 5, also on the Intermediate paper 5 marks

(a)

Rearrange the following formula to make k the subject.

p = 3k + 2

[2]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Does the midpoint of the straight line joining points (3, 15) and (7, 19) lie on the line y = 3x + 2?

You must show all your working.

[3]
Reveal mark scheme Mark scheme for question 5(b)

Unit 2: Calculator-allowed June 2019 Intermediate tier, Question 9, also on the Higher paper 8 marks

(a)

Write down the n th term of the following sequence.

8, 11, 14, 17, ……

[2]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Make t the subject of the formula r = 3t – 8.

[2]
Reveal mark scheme Mark scheme for question 9(b)
(c)

A rectangle has a length of (x + 5) cm and a width of (2x – 3) cm. Its perimeter is 46 cm.

Calculate the value of x.

[4]
Reveal mark scheme Mark scheme for question 9(c)

Unit 2: Calculator-allowed June 2019 Higher tier, Question 1, also on the Intermediate paper 8 marks

(a)

Write down the n th term of the following sequence.

8, 11, 14, 17, ……

[2]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Make t the subject of the formula r = 3t – 8.

[2]
Reveal mark scheme Mark scheme for question 1(b)
(c)

A rectangle has a length of (x + 5) cm and a width of (2x – 3) cm. Its perimeter is 46 cm.

Calculate the value of x.

[4]
Reveal mark scheme Mark scheme for question 1(c)

Unit 1: Non-calculator November 2018 Intermediate tier, Question 10, also on the Higher paper 7 marks

(a)

Expand 3x(x2 – 2).

[2]
Reveal mark scheme Mark scheme for question 10(a)
(b)

Make g the subject of the formula f = 2 – 3g.

[2]
Reveal mark scheme Mark scheme for question 10(b)
(c)(i)

Solve 7x – 3 < 29.

[2]
Reveal mark scheme Mark scheme for question 10(c)(i)
(c)
(c)(ii)

What is the greatest integer value of x that satisfies the above inequality?

[1]
Reveal mark scheme Mark scheme for question 10(c)(ii)

Unit 1: Non-calculator November 2018 Higher tier, Question 1, also on the Intermediate paper 7 marks

(a)

Expand 3x(x2 – 2).

[2]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Make g the subject of the formula f = 2 – 3g.

[2]
Reveal mark scheme Mark scheme for question 1(b)
(c)(i)

Solve 7x – 3 < 29.

[2]
Reveal mark scheme Mark scheme for question 1(c)(i)
(c)
(c)(ii)

What is the greatest integer value of x that satisfies the above inequality?

[1]
Reveal mark scheme Mark scheme for question 1(c)(ii)

Unit 2: Calculator-allowed November 2017 Higher tier, Question 6 5 marks

(a)

Rearrange the following formula to make x the subject.

Give your answer in its simplest form.

2(x + y) = 7 y – 3

[3]
Reveal mark scheme Mark scheme for question 6(a)
(b)

Write down the nth term of the following sequence.

3, 6, 11, 18, 27, …

[2]
Reveal mark scheme Mark scheme for question 6(b)

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