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3.13F Substitution: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out the value of 3x + 4 when x = 2.

(Total for Question 1 is 1 mark)

Evaluate 5a - 2 when a = 3.

(Total for Question 2 is 1 mark)

Work out the value of 2x² + 1 when x = 3. Show your method.

(Total for Question 3 is 2 marks)

A rectangle has length l = 7 cm and width w = 3 cm. The perimeter P is given by P = 2(l + w). Work out P.

(Total for Question 4 is 1 mark)

Evaluate the expression 4t - 3 when t = 1.5.

(Total for Question 5 is 2 marks)

The formula S = 3x + 2y gives the score S. Find S when x = 2 and y = 5.

(Total for Question 6 is 2 marks)

Evaluate 7 - 2x when x = -1.

(Total for Question 7 is 2 marks)

The formula for the cost C (in pounds) of m apples and n bananas is C = 0.30m + 0.20n. Work out C when m = 4 and n = 6. Give your answer to the nearest penny.

(Total for Question 8 is 3 marks)

Given the formula V = lwh, find V when l = 5 cm, w = 3 cm and h = 2 cm.

(Total for Question 9 is 2 marks)

The temperature T (in degrees Celsius) after t hours is given by T = 20 - 0.5t. Work out T when t = 6. Show your working.

(Total for Question 10 is 3 marks)

A toy car travels at speed v given by v = d / t where d is distance in metres and t is time in seconds. Find v when d = 150 m and t = 15 s. Give the unit.

(Total for Question 11 is 4 marks)

The formula A = π r² gives the area A of a circle. Use π = 3.14. Work out A when r = 4 cm. Give your answer to 1 decimal place.

(Total for Question 12 is 3 marks)

Evaluate the expression (x + 2)(when x = 5) and then find 3 times that result. In other words, first find x + 2, then multiply by 3.

(Total for Question 13 is 2 marks)

A small packet of crisps contains m grams of crisps. The energy E in kilocalories is given by E = 5m. How many kilocalories are in a packet with mass 30 g? Give your answer.

(Total for Question 14 is 2 marks)

Mark scheme · 3.13F Substitution: Foundation Tier Practice

Question 1

B1 10 cao
Answer: 10

Question 2

B1 13 cao
Answer: 13

Question 3

M1 substitute x = 3 and evaluate 2 x 3² + 1 or equivalent method
A1 19 cao
Answer: 19

Question 4

B1 20 cm cao
Answer: 20 cm

Question 5

M1 substitute t = 1.5 and show multiplication 4 x 1.5 or equivalent
A1 3.0 or 3 cao
Answer: 3

Question 6

M1 substitute x = 2 and y = 5 into 3x + 2y
A1 16 cao
Answer: 16

Question 7

M1 substitute x = -1 and show 7 - 2 x (-1) or equivalent method
A1 9 cao
Answer: 9

Question 8

M1 substitute m = 4 and n = 6 into 0.30m + 0.20n and evaluate
M1 add totals for apples and bananas correctly
A1 £2.40 cao
Answer: 2.40

Question 9

M1 substitute and multiply l x w x h
A1 30 cm³ cao
Answer: 30 cm³

Question 10

M1 substitute t = 6 into 20 - 0.5t and show multiplication 0.5 x 6
M1 perform subtraction 20 - 3.0
A1 17 degrees C cao
Answer: 17 degrees C

Question 11

M1 substitute d = 150 and t = 15 into v = d / t
M1 perform division 150 / 15 or show equivalent
A1 10 cao
B1 correct unit m/s stated
Answer: 10 m/s

Question 12

M1 substitute r = 4 into A = π r² and use π = 3.14
M1 calculate 3.14 x 16 correctly
A1 50.3 cm² awrt
Answer: 50.2 cm²

Question 13

M1 find x + 2 = 7 and show multiplication by 3
A1 21 cao
Answer: 21

Question 14

M1 substitute m = 30 into E = 5m
A1 150 kcal cao
Answer: 150 kilocalories

Substitution: Foundation Tier Practice - Worksheets, Questions and Revision