Worksheets · Foundation and Higher

Coordinates and geometric problems on axes

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

  1. Question 1Calculator · 1 mark

    (a) Point P has coordinates (−6-6, 4). What is the x-coordinate of P? (1)

  2. Question 2Non-calculator · 4 marks

    A rectangle has consecutive vertices A(−3,4)(-3,4), B(7,4)(7,4) and C(7,−6)(7,-6).

    (a) Write the coordinates of the fourth vertex. (2)

    (b) Find its area. (2)

  3. Question 3Non-calculator · 4 marks

    (a) A triangle has vertices A(−2-2, 1), B(7, 1) and C(3, 9). Work out its area. (4)

Answers and marks

Question 1

(a) −6-6

  • B1 Correct answer: −6-6

Question 2

(a) (−3,−6)(-3,-6)

  • M1 Use A’s x-coordinate and C’s y-coordinate.
  • A1 Correct answer: (−3,−6)(-3,-6)

(b) 100100

  • M1 Multiply the positive horizontal and vertical differences.
  • A1 Correct answer: 100100

Question 3

(a) 3636 square units

  • P1 Establishing 7−(−2)7-(-2) or an equivalent valid method.
  • P1 Establishing 9−19-1 or an equivalent valid method.
  • P1 Establishing 9×8/29\times 8/2 or an equivalent valid method.
  • A1 Correct answer: 3636 square units

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Coordinates and geometric problems on axes

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

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