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IGCSE Mathematics Assessment, Unit 2
  • 1. The figure below is a parallelogram. Work out the values of all the missing angles, then select the answer.
A) Don´t perform / Skip
B) A = 84° ∠B = 96° ∠C = 96° D = 96°
C) ∠A = 60° ∠B = 120° ∠C = 60° ∠D = 120°
D) ∠A = -40° ∠B = 220° ∠C = -90° ∠D = 220°
E) ∠A = 60° ∠B = 60° ∠C = 120° ∠D = 120°
  • 2. Find the measure of each angle in triangle ABC.
A) ∠A = 31° ∠B = 138° ∠C = 21°
B) Don´t perform / Skip
C) ∠A = 45° ∠B = 280° ∠C = 35°
D) ∠A = 130° ∠B = 30° ∠C = 20°
E) ∠A = 30° ∠B = 130° ∠C = 20°
  • 3. The figure below is a parallelogram. Work out the values of all the missing angles, then select the answer.
A) ∠A = 50° ∠B = 130° ∠M = 50° ∠O = 130°
B) Don´t perform / Skip
C) ∠A = 90° ∠B = 90° ∠M = 90° ∠O = 90°
D) ∠A = 76° ∠B = 76° ∠M = 104° ∠M = 104°
E) A = 82° ∠B = 98° ∠M = 82° ∠O = 98°
  • 4. Find the measure of angle ∠BCA
A) ∠BCA = 50°
B) ∠BCA = 60°
C) Don´t perform / Skip
D) ∠BCA = 100°
E) ∠BCA = 80°
  • 5. The figure below is a parallelogram. Work out the values of all the missing angles, then select the answer.
A) ∠ψ = 30° ∠θ = 150° ∠α = 150° ∠β = 30° ∠φ = 150°
B) ∠ψ = 60° ∠θ = 120° ∠α = 120° ∠β = 60° ∠φ = 120°
C) ∠ψ = 40° ∠θ = 140° ∠α = 140° β = 40° ∠φ = 140°
D) Don´t perform / Skip
E) ∠ψ = 50° ∠θ = 130° ∠α = 130° ∠β = 50° ∠φ = 130°
  • 6. The figure below is a parallelogram. Work out the values of all the missing angles, then select the answer.
A) ∠ψ = 70° ∠φ = 70° ∠α = 110° ∠β = 70° θ = 110°
B) Don´t perform / Skip
C) ∠ψ = 40° ∠φ = 40° ∠α = 140° ∠β = 40° ∠θ = 140°
D) ∠ψ = 51° ∠φ = 51° ∠α = 129° ∠β = 51° ∠θ = 129°
E) ∠ψ = 60° ∠φ = 60° ∠α = 120° ∠β = 60° ∠θ = 120°
  • 7. PQRS is a quadrilateral. RST is a straight line. Find angle PST
A) Don´t perform / Skip
B) ∠PST = 83°
C) ∠PST = 107°
D) ∠PST = 114°
E) ∠PST = 97°
  • 8. Find the measures of the angles by applying the property of the figure
A) Don´t perform / Skip
B) ∠x = 75° ∠y = 75° z = 105°
C) x = 105° ∠y = 105° ∠z = 75°
D) ∠x = 115° ∠y = 115° ∠z = 65°
E) ∠x = 90° y = 90° ∠z = 90
  • 9. Find the value of the unknown, then find the value of each missing angle
A) ∠L = 39° ∠K = 70° ∠J = 71°
B) ∠L = 39° ∠K = 80° ∠J = 61°
C) ∠L = 39° ∠K = 90° ∠J = 51°
D) ∠L = 39° K = 60° ∠J = 81°
E) Don´t perform / Skip
  • 10. ∠AOF - ∠AOE - ∠EOF
A) 0°
B) -3°
C) 15°
D) Don´t perform / Skip
E) 50°
  • 11. ∠DOC+∠COD - ∠EOB
A) 100°
B) 15°
C) Don´t perform / Skip
D) 5°
E) 20°
  • 12. ∠COF -∠DOF +∠EOF
A) -8°
B) Don´t perform / Skip
C) 15°
D) 0°
E) 5°
  • 13. What is the size of the angle marked x in these fi gures? Show all steps and give reasons.
A) x = 129°
B) Don´t perform / Skip
C) x = 109°
D) x = 99°
E) x = 119°
  • 14. The Kite has...
A) One pair of opposite angles is equal.
B) Two pair of opposite angles is equal.
C) Don´t perform / Skip
  • 15. Work out the measures of the angles marked in each of these figures.
A) Don´t perform / Skip
B) X= 65°
C) X= 50°
D) X=130°
  • 16. Find the value of x in each of these fi gures. Give reasons.
A) Don´t perform / Skip
B) ∠DGF=72°
C) ∠DGF=36°
D) ∠DGF=108°
E) ∠DGF=18°
  • 17. Find the value of x in each of these fi gures. Give reasons.
A) ∠RSM=55°
B) ∠RSM=47°
C) ∠RSM=110°
D) ∠RSM=70°
E) Don´t perform / Skip
  • 18. In each of the diagrams below, calculate the size of the labelled angles:
A) p = 145°, q = 0°, r = 60°
B) p = 50°, q = 95°, r = 35°
C) Don´t perform / Skip
D) p = 130°, q = 15°, r = 75°
E) p = 100°, q = 45°, r = 85°
  • 19. In each of the diagrams below, calculate the size of the labelled angles:
A) 150°
B) 75°
C) 5°
D) Don´t perform / Skip
E) 50°
  • 20. ∠DOE + ∠COD + ∠DOF - ∠AOE
A) -40°
B) 0°
C) Don´t perform / Skip
D) 22°
E) 15°
  • 21. In each of the diagrams below, calculate the size of the labelled angles:
A) p=40° q=120° y r=50°
B) p=40° q=130° y r=100°
C) Don´t perform / Skip
D) p=130° q=130° y r=130
E) p=40° q=130° y r=50°
  • 22. In each of the following questions, some of the angles are given. Find, giving reasons, the size of the other labelled angles
A) a = 50°, b = 50°, c = 45°, d = 45°
B) a = 45°, b = 135°, c = 50°, d = 130°
C) a = 50°, b = 130°, c = 45°, d = 135°
D) a = 85°, b = 95°, c = 45°, d = 135°
E) Don´t perform / Skip
  • 23. The figure below is a parallelogram. Work out the values of all the missing angles, then select the answer.
A) ∠C = 100°, ∠H =80°
B) ∠C = 99°, ∠H =81°
C) ∠C = 103°, ∠H = 77°
D) Don´t perform / Skip
E) ∠C = 106°, ∠H = 74°
  • 24. Work out the measures of the angles marked in each of these figures.
A) Don´t perform / Skip
B) ∠E = 60° ∠F = 150° ∠G = 50° ∠H = 100°
C) ∠E = 65° ∠F = 151° ∠G = 48° ∠H = 96°
D) ∠E = 63° ∠F = 150° ∠G = 49° ∠H = 98°
E) ∠E = 65° ∠F = 150° ∠G = 49° ∠H = 96°
  • 25.
A) x = 8
B) x = -8
C) Don´t perform / Skip
D) x = 4
E) x = -4
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