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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 118 · 40 sums
TalentJR

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.

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  1. 1.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  2. 2.Four angles meet at a point. Three of them are 70°, 90° and 40°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 70°, 90° and 180°. What is the fourth angle (in degrees)?
  4. 4.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  5. 5.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  6. 6.An angle measures 300°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  7. 7.Four angles meet at a point. Three of them are 50°, 70° and 170°. What is the fourth angle (in degrees)?
  8. 8.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  9. 9.Four angles meet at a point. Three of them are 60°, 90° and 180°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 45° and 85°. What is the third angle (in degrees)?
  11. 11.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  12. 12.Four angles meet at a point. Three of them are 30°, 90° and 100°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  15. 15.An angle measures 60°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  16. 16.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  17. 17.An angle measures 150°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  18. 18.Four angles meet at a point. Three of them are 60°, 50° and 200°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 30° and 130°. What is the third angle (in degrees)?
  20. 20.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  21. 21.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  23. 23.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 40° and 115°. What is the third angle (in degrees)?
  25. 25.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 50° and 120°. What is the third angle (in degrees)?
  27. 27.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  28. 28.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  29. 29.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.An angle measures 65°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  31. 31.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  32. 32.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  33. 33.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  34. 34.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 70°, 90° and 90°. What is the fourth angle (in degrees)?
  36. 36.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  37. 37.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  38. 38.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 60°, 80° and 140°. What is the fourth angle (in degrees)?
  40. 40.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. West
  2. 160
  3. 20
  4. East
  5. 60
  6. Reflex
  7. 70
  8. South
  9. 30
  10. 50
  11. North
  12. 140
  13. 45
  14. 65
  15. Acute
  16. 115
  17. Obtuse
  18. 50
  19. 20
  20. South
  21. 60
  22. South
  23. 36
  24. 25
  25. 18
  26. 10
  27. East
  28. Right
  29. 120
  30. Acute
  31. West
  32. North
  33. West
  34. 90
  35. 110
  36. Straight
  37. 75
  38. 60
  39. 80
  40. 30

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