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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 851 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 110°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  3. 3.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.An angle measures 230°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  5. 5.Three angles together make a straight line. Two of them are 45° and 90°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  8. 8.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  10. 10.An angle measures 35°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  13. 13.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  14. 14.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  16. 16.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  17. 17.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  18. 18.Four angles meet at a point. Three of them are 70°, 50° and 30°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  20. 20.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  21. 21.Three angles together make a straight line. Two of them are 40° and 20°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 40° and 80°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  26. 26.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  27. 27.An angle measures 20°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  28. 28.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  29. 29.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  31. 31.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  32. 32.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  33. 33.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  34. 34.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 50°, 40° and 250°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 50°, 70° and 140°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  38. 38.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  39. 39.Three angles together make a straight line. Two of them are 10° and 80°. What is the third angle (in degrees)?
  40. 40.An angle measures 105°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse

Answer key

  1. 120
  2. Obtuse
  3. 30
  4. Reflex
  5. 45
  6. 30
  7. 90
  8. 18
  9. 270
  10. Acute
  11. 15
  12. East
  13. South
  14. 35
  15. Right
  16. 240
  17. Obtuse
  18. 210
  19. Straight
  20. 240
  21. 120
  22. 60
  23. 210
  24. 55
  25. 30
  26. 60
  27. Acute
  28. South
  29. 25
  30. North
  31. 60
  32. 36
  33. 36
  34. 72
  35. 20
  36. 100
  37. 330
  38. South
  39. 90
  40. Obtuse

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