Worksheets · Foundation and Higher

Substitution and calculator brackets

3 exam-style questions. Answers and the mark for each step are on the last page.

  1. Question 1Non-calculator · 4 marks

    a=4a = 4 and b=−3b = -3.

    (a) Work out the value of a+ba + b. (1)

    (b) Work out the value of 3a−2b3a - 2b. (2)

    (c) Work out the value of b2b^2. (1)

  2. Question 2Non-calculator · 5 marks

    a=−2a=-2 and b=5b=5.

    (a) Work out a2−2aba^2-2ab. (3)

    (b) Work out (a+b)2(a+b)^2. (2)

  3. Question 3Non-calculator · 5 marks

    s=ut+12at2s = ut + \frac{1}{2}at^2

    (a) Work out the value of ss when u=5u = 5, a=−4a = -4 and t=3t = 3. (2)

    (b) When t=4t = 4 and a=3a = 3, the value of ss is 4040. Find the value of uu. (3)

Answers and marks

Question 1

(a) 11

  • B1 The correct answer, 11.

(b) 1818

  • M1 Writing 1212 and −6-6 (or 3×4−2×(−3)3 \times 4 - 2 \times (-3)).
  • A1 The correct answer, 1818.

(c) 99

  • B1 The correct answer, 99.

Question 2

(a) 2424

  • M1 Square the whole negative input.
  • M1 Subtract twice the product, keeping both signs.
  • A1 Correct answer: 2424

(b) 99

  • M1 Add the signed inputs before squaring.
  • A1 Correct answer: 99

Question 3

(a) −3-3

  • M1 Finding ut=15ut = 15 and 12at2=−18\frac{1}{2}at^2 = -18.
  • A1 The correct answer, −3-3.

(b) u=4u = 4

  • P1 Substituting to get 40=4u+2440 = 4u + 24.
  • P1 Rearranging to 4u=164u = 16.
  • A1 The correct answer, u=4u = 4.

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Substitution and calculator brackets

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Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.

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