Angle facts

Mark scheme and answers · Total marks: 46

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Question 1 [1 mark]

55°

Mark scheme
  • A [1] — cao 55°

Accept algebraically equivalent correct forms.

Question 2 [1 mark]

20

Mark scheme
  • A [1] — cao 20

Accept algebraically equivalent correct forms.

Question 3 [1 mark]

90°

Mark scheme
  • A [1] — cao 90°

Accept algebraically equivalent correct forms.

Question 4 [1 mark]

9

Mark scheme
  • A [1] — cao 9

Accept algebraically equivalent correct forms.

Question 5 [1 mark]

25

Mark scheme
  • A [1] — cao 25

Accept algebraically equivalent correct forms.

Question 6 [1 mark]

105°

Mark scheme
  • A [1] — cao 105°

Accept algebraically equivalent correct forms.

Question 7 [1 mark]

20

Mark scheme
  • A [1] — cao 20

Accept algebraically equivalent correct forms.

Question 8 [1 mark]

20

Mark scheme
  • A [1] — cao 20

Accept algebraically equivalent correct forms.

Question 9 [1 mark]

70°

Mark scheme
  • A [1] — cao 70°

Accept algebraically equivalent correct forms.

Question 10 [1 mark]

60°

Mark scheme
  • A [1] — cao 60°

Accept algebraically equivalent correct forms.

Question 11 [1 mark]

75°

Mark scheme
  • A [1] — cao 75°

Accept algebraically equivalent correct forms.

Question 12 [1 mark]

60°

Mark scheme
  • A [1] — cao 60°

Accept algebraically equivalent correct forms.

Question 13 [2 marks]

120°

Mark scheme
  • A [2] — cao 120°

Accept algebraically equivalent correct forms.

Question 14 [2 marks]

52.5°

Mark scheme
  • A [2] — cao 52.5°

Accept algebraically equivalent correct forms.

Question 15 [2 marks]

60°

Mark scheme
  • A [2] — cao 60°

Accept algebraically equivalent correct forms.

Question 16 [2 marks]

12

Mark scheme
  • A [2] — cao 12

Accept algebraically equivalent correct forms.

Question 17 [2 marks]

150°

Mark scheme
  • A [2] — cao 150°

Accept algebraically equivalent correct forms.

Question 18 [2 marks]

72°, 108°, 108°

Mark scheme
  • A [2] — cao 72°, 108°, 108°

Accept algebraically equivalent correct forms.

Question 19 [2 marks]

25

Mark scheme
  • A [2] — cao 25

Accept algebraically equivalent correct forms.

Question 20 [2 marks]

50°, 75°, 55°

Mark scheme
  • A [2] — cao 50°, 75°, 55°

Accept algebraically equivalent correct forms.

Question 21 [1 mark]

360°

Mark scheme
  • A [1] — cao 360°

Accept algebraically equivalent correct forms.

Question 22 [1 mark]

110°

Mark scheme
  • A [1] — cao 110°

Accept algebraically equivalent correct forms.

Question 23 [2 marks]

Let the polygon have n sides.

Exterior angle = 360n (degrees).
Interior angle = (n - 2) * 180n (degrees).

Given: interior angle = 8 * exterior angle

(n - 2) * 180n = 8 * 360n

Multiply both sides by n: (n - 2) * 180 = 2880

n - 2 = 16
n = 18

The polygon has 18 sides.

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 24 [2 marks]

26

Mark scheme
  • A [2] — cao 26

Accept algebraically equivalent correct forms.

Question 25 [2 marks]

12

Mark scheme
  • A [2] — cao 12

Accept algebraically equivalent correct forms.

Question 26 [2 marks]

150°

Mark scheme
  • A [2] — cao 150°

Accept algebraically equivalent correct forms.

Question 27 [2 marks]

20

Mark scheme
  • A [2] — cao 20

Accept algebraically equivalent correct forms.

Question 28 [2 marks]

50°

Mark scheme
  • A [2] — cao 50°

Accept algebraically equivalent correct forms.

Question 29 [2 marks]

15

Mark scheme
  • A [2] — cao 15

Accept algebraically equivalent correct forms.

Question 30 [2 marks]

42.5°, 52.5°, 85°

Mark scheme
  • A [2] — cao 42.5°, 52.5°, 85°

Accept algebraically equivalent correct forms.

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