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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 53 · 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.Three angles together make a straight line. Two of them are 10° and 55°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 30°, 80° and 240°. What is the fourth angle (in degrees)?
  4. 4.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  5. 5.Three angles together make a straight line. Two of them are 30° and 90°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 90°, 60° and 80°. What is the fourth angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 6 to 10. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  10. 10.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  11. 11.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  13. 13.Four angles meet at a point. Three of them are 80°, 30° and 120°. What is the fourth angle (in degrees)?
  14. 14.An angle measures 5°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  15. 15.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  16. 16.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  17. 17.Three angles together make a straight line. Two of them are 55° and 60°. What is the third angle (in degrees)?
  18. 18.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  19. 19.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 60° and 105°. What is the third angle (in degrees)?
  21. 21.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  24. 24.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 50° and 250°. What is the fourth angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  27. 27.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  28. 28.An angle measures 95°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  29. 29.An angle measures 225°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  30. 30.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  31. 31.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  32. 32.An angle measures 80°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  33. 33.An angle measures 40°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  34. 34.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  35. 35.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 70°, 90° and 30°. What is the fourth angle (in degrees)?
  37. 37.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 70°, 80° and 190°. What is the fourth angle (in degrees)?
  39. 39.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  40. 40.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. 115
  2. 115
  3. 10
  4. South
  5. 60
  6. 130
  7. 120
  8. 210
  9. 20
  10. Right
  11. 90
  12. 30
  13. 130
  14. Acute
  15. 240
  16. West
  17. 65
  18. East
  19. 55
  20. 15
  21. 20
  22. 180
  23. 25
  24. 120
  25. 20
  26. 90
  27. 40
  28. Obtuse
  29. Reflex
  30. 30
  31. East
  32. Acute
  33. Acute
  34. 36
  35. 30
  36. 170
  37. 72
  38. 20
  39. West
  40. 60

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