Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 199 · 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.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
2. 2.Four angles meet at a point. Three of them are 30°, 70° and 180°. What is the fourth angle (in degrees)?
3. 3.An angle measures 145°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
4. 4.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
5. 5.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
6. 6.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
7. 7.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
8. 8.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
9. 9.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
10. 10.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
11. 11.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
12. 12.Four angles meet at a point. Three of them are 50°, 100° and 50°. What is the fourth angle (in degrees)?
13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
14. 14.Three angles together make a straight line. Two of them are 60° and 50°. What is the third angle (in degrees)?
15. 15.Four angles meet at a point. Three of them are 30°, 60° and 30°. What is the fourth angle (in degrees)?
16. 16.An angle measures 100°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
17. 17.Four angles meet at a point. Three of them are 90°, 30° and 70°. What is the fourth angle (in degrees)?
18. 18.Four angles meet at a point. Three of them are 30°, 60° and 80°. What is the fourth angle (in degrees)?
19. 19.Three angles together make a straight line. Two of them are 35° and 30°. What is the third angle (in degrees)?
20. 20.An angle measures 310°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
21. 21.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
22. 22.Four angles meet at a point. Three of them are 50°, 30° and 70°. What is the fourth angle (in degrees)?
23. 23.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
24. 24.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
25. 25.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
26. 26.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
27. 27.Four angles meet at a point. Three of them are 60°, 60° and 130°. What is the fourth angle (in degrees)?
28. 28.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
29. 29.Four angles meet at a point. Three of them are 70°, 30° and 70°. What is the fourth angle (in degrees)?
30. 30.Three angles together make a straight line. Two of them are 65° and 90°. What is the third angle (in degrees)?
31. 31.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
32. 32.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
33. 33.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
34. 34.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
35. 35.Three angles together make a straight line. Two of them are 90° and 65°. What is the third angle (in degrees)?
36. 36.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
37. 37.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
38. 38.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
39. 39.Three angles together make a straight line. Two of them are 75° and 80°. What is the third angle (in degrees)?
40. 40.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?

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