Area of a trapezium

Mark scheme and answers · Total marks: 66

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Question 1 [3 marks]

Area = 12 × (5 + 10) × 7 = 52.5 m²

Mark scheme
  • M [1] — Use of ½(a + b)h or equivalent
  • A [1] — cao 52.5
  • A [1] — Correct units stated (e.g. m²)

Question 2 [3 marks]

Area = 12 × (4 + 12) × 5 = 40 m²

Mark scheme
  • M [1] — Use of ½(a + b)h or equivalent
  • A [1] — cao 40
  • A [1] — Correct units stated (e.g. m²)

Question 3 [3 marks]

Area = 12 × (8 + 14) × 4 = 44 m²

Mark scheme
  • M [1] — Use of ½(a + b)h or equivalent
  • A [1] — cao 44
  • A [1] — Correct units stated (e.g. m²)

Question 4 [3 marks]

Area = 12 × (6 + 10) × 9 = 72 m²

Mark scheme
  • M [1] — Use of ½(a + b)h or equivalent
  • A [1] — cao 72
  • A [1] — Correct units stated (e.g. m²)

Question 5 [3 marks]

Area = 12 × (3 + 7) × 8 = 40 m²

Mark scheme
  • M [1] — Use of ½(a + b)h or equivalent
  • A [1] — cao 40
  • A [1] — Correct units stated (e.g. m²)

Question 6 [3 marks]

Area = 12 × (9 + 15) × 6 = 72 m²

Mark scheme
  • M [1] — Use of ½(a + b)h or equivalent
  • A [1] — cao 72
  • A [1] — Correct units stated (e.g. m²)

Question 7 [2 marks]

25 cm²

Mark scheme
  • M [1] — Correct use of dimensions from the grid in ½(a + b)h (or equivalent counting)
  • A [1] — cao 25 cm²

Question 8 [2 marks]

24 cm²

Mark scheme
  • M [1] — Correct use of dimensions from the grid in ½(a + b)h (or equivalent counting)
  • A [1] — cao 24 cm²

Question 9 [2 marks]

27 cm²

Mark scheme
  • M [1] — Correct use of dimensions from the grid in ½(a + b)h (or equivalent counting)
  • A [1] — cao 27 cm²

Question 10 [2 marks]

21 cm²

Mark scheme
  • M [1] — Correct use of dimensions from the grid in ½(a + b)h (or equivalent counting)
  • A [1] — cao 21 cm²

Question 11 [2 marks]

20 cm²

Mark scheme
  • M [1] — Correct use of dimensions from the grid in ½(a + b)h (or equivalent counting)
  • A [1] — cao 20 cm²

Question 12 [2 marks]

28 cm²

Mark scheme
  • M [1] — Correct use of dimensions from the grid in ½(a + b)h (or equivalent counting)
  • A [1] — cao 28 cm²

Question 13 [2 marks]

h = 6 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 6 cm

Question 14 [2 marks]

h = 4 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 4 cm

Question 15 [2 marks]

h = 5 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 5 cm

Question 16 [2 marks]

13 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao 13 cm

Question 17 [2 marks]

16 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao 16 cm

Question 18 [2 marks]

12 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao 12 cm

Question 19 [2 marks]

h = 6 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 6 cm

Question 20 [2 marks]

6 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao 6 cm

Question 21 [2 marks]

h = 7 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 7 cm

Question 22 [2 marks]

2 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao 2 cm

Question 23 [2 marks]

h = 4 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 4 cm

Question 24 [2 marks]

10 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao 10 cm

Question 25 [2 marks]

h = 6 cm

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao h = 6 cm

Question 26 [2 marks]

x = 6

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao x = 6

Question 27 [2 marks]

x = 6

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao x = 6

Question 28 [2 marks]

x = 6

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao x = 6

Question 29 [2 marks]

x = 7

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao x = 7

Question 30 [2 marks]

x = 11

Mark scheme
  • M [1] — Rearrange ½(a + b)h or substitute correctly
  • A [1] — cao x = 11

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