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5.6F Changing the Subject of a Formula: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Make b the subject of the formula a = b + 7.

(Total for Question 1 is 1 mark)

Make d the subject of the formula c = 3d.

(Total for Question 2 is 1 mark)

Make n the subject of the formula m = (n + 4) / 5. Show each step.

(Total for Question 3 is 2 marks)

Make h the subject of the formula V = l × w × h.

(Total for Question 4 is 1 mark)

Make x the subject of the formula p = 2x + 5, then find x when p = 17.

(a)Make x the subject.(1)

(b)Use your formula to find x when p = 17.(1)

(Total for Question 5 is 2 marks)

The formula s = (t - 3) / 4. Make t the subject, then find t when s = 5.

(a)Make t the subject.(1)

(b)Complete the rearrangement to give t in terms of s.(1)

(c)Find t when s = 5.(1)

(Total for Question 6 is 3 marks)

Make l the subject of the formula for perimeter P = 2l + 2w.

(Total for Question 7 is 2 marks)

The area of a trapezium is given by A = (a + b)/2 × h. Make h the subject of the formula.

(Total for Question 8 is 2 marks)

Make y the subject of the formula 4(y + 2) = 20. Then find y.

(a)Make y the subject.(1)

(b)Find y.(1)

(Total for Question 9 is 2 marks)

The formula F = m × a links force F, mass m and acceleration a. Make m the subject. Then calculate m when F = 50 N and a = 2.5 m/s². Give your answer to 1 decimal place.

(a)Make m the subject of F = m × a.(2)

(b)Calculate m when F = 50 N and a = 2.5 m/s². Give your answer to 1 decimal place.(2)

(Total for Question 10 is 4 marks)

Make u the subject of the formula w = u / v. Then find u when w = 12 and v = 3.

(a)Make u the subject of w = u / v.(1)

(b)Find u when w = 12 and v = 3.(1)

(Total for Question 11 is 2 marks)

The formula for average speed is s = d / t, where s is speed in km/h, d is distance in km and t is time in hours. Make t the subject, then find t when s = 60 km/h and d = 30 km. Give your answer in hours and minutes.

(a)Make t the subject of s = d / t.(1)

(b)Calculate t when s = 60 and d = 30. Give your answer in hours and minutes.(2)

(Total for Question 12 is 3 marks)

Mark scheme · 5.6F Changing the Subject of a Formula: Foundation Tier Practice

Question 1

B1 b = a - 7 cao
Answer: b = a - 7

Question 2

B1 d = c/3 cao
Answer: d = c/3

Question 3

M1 multiply both sides by 5 or show method leading to n + 4 = 5m
A1 n = 5m - 4 cao
Answer: n = 5m - 4

Question 4

B1 h = V/(l × w) cao
Answer: h = V/(l × w)

Question 5

(a) B1 x = (p - 5)/2 cao
(a) Answer: x = (p - 5)/2
(b) A1 6 cao
(b) Answer: 6

Question 6

(a) M1 multiply both sides by 4 to get t - 3 = 4s
(a) Answer: t - 3 = 4s
(b) A1 t = 4s + 3 cao
(b) Answer: t = 4s + 3
(c) A1 23 cao
(c) Answer: 23

Question 7

M1 subtract 2w from both sides to get 2l = P - 2w
A1 l = (P - 2w)/2 cao
Answer: l = (P - 2w)/2

Question 8

M1 divide both sides by (a + b)/2 or multiply both sides by 2 then divide by (a + b)
A1 h = 2A/(a + b) cao
Answer: h = 2A/(a + b)

Question 9

(a) M1 divide both sides by 4 to get y + 2 = 5 or show equivalent method
(a) Answer: y + 2 = 5
(b) A1 3 cao
(b) Answer: 3

Question 10

(a) M1 divide both sides by a or show method leading to m = F/a
(a) A1 m = F/a cao
(a) Answer: m = F/a
(b) M1 substitute values into m = F/a and calculate 50/2.5
(b) A1 20.0 kg awrt
(b) Answer: 20.0 kg

Question 11

(a) M1 multiply both sides by v to get u = wv or show equivalent method
(a) Answer: u = wv
(b) A1 36 cao
(b) Answer: 36

Question 12

(a) M1 rearrange to t = d/s or show method leading to t = d/s
(a) Answer: t = d/s
(b) M1 substitute values into t = d/s and calculate 30/60 = 0.5
(b) A1 0.5 h = 30 minutes cao
(b) Answer: 0.5 hours = 30 minutes

Changing the Subject of a Formula: Foundation Tier Practice - Worksheets, Questions and Revision