PassNova has 13 free 11+ Maths practice questions on Angles, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Angles: example questions & answers
13 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.
Two angles on a straight line are 35° and x°. What is x?
- A145°✓
- B55°
- C325°
- D35°
Answer: Angles on a straight line add up to 180°, so x = 180 − 35 = 145°.
Two angles on a straight line are 62° and x°. What is x?
- A28°
- B298°
- C118°✓
- D62°
Answer: Angles on a straight line add up to 180°, so x = 180 − 62 = 118°.
Two angles on a straight line are 48° and x°. What is x?
- A132°✓
- B42°
- C312°
- D48°
Answer: Angles on a straight line add up to 180°, so x = 180 − 48 = 132°.
Two angles on a straight line are 71° and x°. What is x?
- A19°
- B289°
- C109°✓
- D71°
Answer: Angles on a straight line add up to 180°, so x = 180 − 71 = 109°.
Two angles on a straight line are 27° and x°. What is x?
- A153°✓
- B63°
- C333°
- D27°
Answer: Angles on a straight line add up to 180°, so x = 180 − 27 = 153°.
Two angles of a triangle are 50° and 60°. What is the third angle?
- A250°
- B130°
- C70°✓
- D110°
Answer: The angles in a triangle add up to 180°, so the third is 180 − 50 − 60 = 70°.
Two angles of a triangle are 45° and 85°. What is the third angle?
- A230°
- B135°
- C50°✓
- D130°
Answer: The angles in a triangle add up to 180°, so the third is 180 − 45 − 85 = 50°.
Two angles of a triangle are 72° and 33°. What is the third angle?
- A255°
- B108°
- C75°✓
- D105°
Answer: The angles in a triangle add up to 180°, so the third is 180 − 72 − 33 = 75°.
Two angles of a triangle are 90° and 41°. What is the third angle?
- A229°
- B90°
- C49°✓
- D131°
Answer: The angles in a triangle add up to 180°, so the third is 180 − 90 − 41 = 49°.
What do the interior angles of a quadrilateral add up to?
- A360°✓
- B720°
- C540°
- D361°
Answer: Split the shape into triangles from one corner: a quadrilateral makes 2 triangles, and each is 180°, so the total is 2 × 180 = 360°.
What do the interior angles of a pentagon add up to?
- A900°
- B360°
- C540°✓
- D720°
Answer: Split the shape into triangles from one corner: a pentagon makes 3 triangles, and each is 180°, so the total is 3 × 180 = 540°.
What do the interior angles of a hexagon add up to?
- A1080°
- B360°
- C720°✓
- D900°
Answer: Split the shape into triangles from one corner: a hexagon makes 4 triangles, and each is 180°, so the total is 4 × 180 = 720°.
What do the interior angles of a octagon add up to?
- A1440°
- B1080°✓
- C360°
- D1260°
Answer: Split the shape into triangles from one corner: a octagon makes 6 triangles, and each is 180°, so the total is 6 × 180 = 1080°.