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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 220 · 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 4 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 60°, 60° and 70°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 65° and 40°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 20° and 110°. What is the third angle (in degrees)?
  5. 5.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  6. 6.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  7. 7.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 30°, 30° and 210°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 245°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  11. 11.Three angles together make a straight line. Two of them are 10° and 105°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 12 to 5. How many degrees does it turn?
  13. 13.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  14. 14.Four angles meet at a point. Three of them are 30°, 90° and 200°. What is the fourth angle (in degrees)?
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  20. 20.An angle measures 155°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  21. 21.An angle measures 45°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  22. 22.Three angles together make a straight line. Two of them are 65° and 65°. What is the third angle (in degrees)?
  23. 23.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  25. 25.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  26. 26.Three angles together make a straight line. Two of them are 95° and 35°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  28. 28.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 30° and 70°. What is the third angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  31. 31.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 80°, 50° and 40°. What is the fourth angle (in degrees)?
  34. 34.An angle measures 320°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  35. 35.Three angles together make a straight line. Two of them are 30° and 45°. What is the third angle (in degrees)?
  36. 36.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  37. 37.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  38. 38.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  39. 39.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  40. 40.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West

Answer key

  1. 45
  2. 170
  3. 75
  4. 50
  5. West
  6. 90
  7. 72
  8. 25
  9. 90
  10. Reflex
  11. 65
  12. 150
  13. 180
  14. 40
  15. 60
  16. 135
  17. 150
  18. 30
  19. 75
  20. Obtuse
  21. Acute
  22. 50
  23. 30
  24. 125
  25. East
  26. 50
  27. 30
  28. 36
  29. 80
  30. South
  31. 30
  32. 120
  33. 190
  34. Reflex
  35. 105
  36. Straight
  37. 20
  38. East
  39. 40
  40. South

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