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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 528 · 40 sums
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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 clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  2. 2.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  3. 3.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  4. 4.An angle measures 340°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  5. 5.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  8. 8.An angle measures 85°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  9. 9.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  10. 10.An angle measures 175°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  11. 11.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  12. 12.Three angles together make a straight line. Two of them are 10° and 40°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 50° and 60°. What is the third angle (in degrees)?
  14. 14.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 70°, 70° and 80°. What is the fourth angle (in degrees)?
  16. 16.An angle measures 30°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  17. 17.An angle measures 55°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  18. 18.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  19. 19.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  20. 20.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  21. 21.An angle measures 140°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  22. 22.An angle measures 155°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  23. 23.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  24. 24.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  25. 25.Three angles together make a straight line. Two of them are 60° and 40°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 100°, 30° and 140°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 60° and 10°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 100°, 30° and 100°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 15° and 140°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 25° and 10°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  37. 37.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  38. 38.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 10° and 75°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?

Answer key

  1. East
  2. Straight
  3. 270
  4. Reflex
  5. 120
  6. 90
  7. 330
  8. Acute
  9. 155
  10. Obtuse
  11. South
  12. 130
  13. 70
  14. 18
  15. 140
  16. Acute
  17. Acute
  18. North
  19. 20
  20. West
  21. Obtuse
  22. Obtuse
  23. 105
  24. North
  25. 80
  26. 70
  27. 70
  28. 55
  29. 60
  30. 90
  31. 110
  32. 130
  33. 25
  34. 145
  35. 90
  36. 115
  37. 45
  38. 15
  39. 95
  40. 30

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