Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 17 · 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 straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
2. 2.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
3. 3.Three angles together make a straight line. Two of them are 30° and 70°. What is the third angle (in degrees)?
4. 4.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
5. 5.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
6. 6.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
7. 7.Four angles meet at a point. Three of them are 70°, 50° and 30°. What is the fourth angle (in degrees)?
8. 8.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
9. 9.Four angles meet at a point. Three of them are 100°, 100° and 120°. What is the fourth angle (in degrees)?
10. 10.Four angles meet at a point. Three of them are 90°, 50° and 150°. What is the fourth angle (in degrees)?
11. 11.Three angles together make a straight line. Two of them are 15° and 45°. What is the third angle (in degrees)?
12. 12.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
13. 13.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
14. 14.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
15. 15.An angle measures 15°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
16. 16.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
17. 17.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
18. 18.Three angles together make a straight line. Two of them are 50° and 35°. What is the third angle (in degrees)?
19. 19.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
20. 20.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
21. 21.The minute hand of a clock turns clockwise from 4 to 12. How many degrees does it turn?
22. 22.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
23. 23.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
24. 24.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
25. 25.Four angles meet at a point. Three of them are 40°, 100° and 210°. What is the fourth angle (in degrees)?
26. 26.Three angles together make a straight line. Two of them are 100° and 30°. What is the third angle (in degrees)?
27. 27.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
28. 28.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
29. 29.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
30. 30.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
31. 31.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
32. 32.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
33. 33.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
34. 34.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
35. 35.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
36. 36.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
37. 37.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
38. 38.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
39. 39.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
40. 40.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South

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