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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 709 · 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 straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 90°, 50° and 200°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 80° and 80°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  7. 7.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  9. 9.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  10. 10.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 35°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  12. 12.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  13. 13.Three angles together make a straight line. Two of them are 20° and 150°. What is the third angle (in degrees)?
  14. 14.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  15. 15.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 100° and 80°. What is the fourth angle (in degrees)?
  17. 17.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 235°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  19. 19.Three angles together make a straight line. Two of them are 20° and 140°. What is the third angle (in degrees)?
  20. 20.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 90°, 60° and 190°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 85° and 35°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  24. 24.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  25. 25.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  28. 28.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  29. 29.An angle measures 110°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  30. 30.An angle measures 115°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  31. 31.Four angles meet at a point. Three of them are 50°, 40° and 30°. What is the fourth angle (in degrees)?
  32. 32.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  33. 33.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?
  34. 34.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  35. 35.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  36. 36.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  37. 37.Three angles together make a straight line. Two of them are 40° and 125°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 30°, 70° and 40°. What is the fourth angle (in degrees)?

Answer key

  1. 30
  2. 20
  3. 75
  4. 110
  5. 60
  6. 30
  7. 90
  8. Straight
  9. North
  10. 60
  11. Acute
  12. Right
  13. 10
  14. 90
  15. 45
  16. 100
  17. 20
  18. Reflex
  19. 20
  20. 45
  21. 20
  22. 60
  23. 30
  24. 60
  25. 36
  26. 36
  27. 240
  28. West
  29. Obtuse
  30. Obtuse
  31. 240
  32. West
  33. 145
  34. East
  35. 150
  36. East
  37. 15
  38. 50
  39. 30
  40. 220

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