Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 459 · 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 40°, 60° and 50°. What is the fourth angle (in degrees)?
2. 2.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
3. 3.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
4. 4.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
5. 5.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
6. 6.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
7. 7.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
8. 8.Four angles meet at a point. Three of them are 90°, 100° and 50°. What is the fourth angle (in degrees)?
9. 9.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
10. 10.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
11. 11.Four angles meet at a point. Three of them are 90°, 30° and 30°. What is the fourth angle (in degrees)?
12. 12.Four angles meet at a point. Three of them are 30°, 30° and 60°. What is the fourth angle (in degrees)?
13. 13.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
14. 14.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
15. 15.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
16. 16.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
17. 17.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
18. 18.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
19. 19.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
20. 20.Four angles meet at a point. Three of them are 70°, 60° and 220°. What is the fourth angle (in degrees)?
21. 21.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
22. 22.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
23. 23.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
24. 24.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
25. 25.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
26. 26.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
27. 27.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
28. 28.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
29. 29.Four angles meet at a point. Three of them are 80°, 80° and 180°. What is the fourth angle (in degrees)?
30. 30.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
31. 31.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
32. 32.Four angles meet at a point. Three of them are 80°, 60° and 100°. What is the fourth angle (in degrees)?
33. 33.Four angles meet at a point. Three of them are 30°, 90° and 220°. What is the fourth angle (in degrees)?
34. 34.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
35. 35.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
36. 36.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
37. 37.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
38. 38.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
39. 39.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
40. 40.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?

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