Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 15 · 40 sums

The method (Know the totals): Acute < 90°, right = 90°, obtuse between 90° and 180°, straight = 180°, reflex between 180° and 360°. Angles on a straight line add up to 180°; angles around a point add up to 360°. Each hour mark on a clock is 30° apart (360° ÷ 12). Turning clockwise from North: 90° → East, 180° → South, 270° → West.

1. 1.Four angles meet at a point. Three of them are 70°, 60° and 60°. What is the fourth angle (in degrees)?
2. 2.Four angles meet at a point. Three of them are 60°, 30° and 40°. What is the fourth angle (in degrees)?
3. 3.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
4. 4.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
5. 5.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
6. 6.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
7. 7.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
8. 8.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
9. 9.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
10. 10.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
11. 11.An angle measures 195°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
12. 12.An angle measures 70°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
13. 13.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
14. 14.Four angles meet at a point. Three of them are 70°, 30° and 170°. What is the fourth angle (in degrees)?
15. 15.Four angles meet at a point. Three of them are 70°, 60° and 50°. What is the fourth angle (in degrees)?
16. 16.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
17. 17.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
18. 18.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
19. 19.Four angles meet at a point. Three of them are 80°, 60° and 190°. What is the fourth angle (in degrees)?
20. 20.Four angles meet at a point. Three of them are 30°, 100° and 220°. What is the fourth angle (in degrees)?
21. 21.Four angles meet at a point. Three of them are 60°, 50° and 90°. What is the fourth angle (in degrees)?
22. 22.Four angles meet at a point. Three of them are 70°, 30° and 60°. What is the fourth angle (in degrees)?
23. 23.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
24. 24.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
25. 25.Four angles meet at a point. Three of them are 70°, 40° and 30°. What is the fourth angle (in degrees)?
26. 26.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
27. 27.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
28. 28.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
29. 29.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
30. 30.Four angles meet at a point. Three of them are 70°, 90° and 140°. What is the fourth angle (in degrees)?
31. 31.An angle measures 235°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
32. 32.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
33. 33.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
34. 34.Four angles meet at a point. Three of them are 30°, 30° and 130°. What is the fourth angle (in degrees)?
35. 35.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
36. 36.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
37. 37.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
38. 38.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
39. 39.Three angles together make a straight line. Two of them are 65° and 50°. What is the third angle (in degrees)?
40. 40.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?

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