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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 69 · 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 20° and 80°. What is the third angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  4. 4.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  5. 5.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  6. 6.Four angles meet at a point. Three of them are 70°, 40° and 80°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  8. 8.An angle measures 145°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  9. 9.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 30°, 100° and 50°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  12. 12.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  13. 13.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  14. 14.The minute hand of a clock turns clockwise from 10 to 2. How many degrees does it turn?
  15. 15.Three angles together make a straight line. Two of them are 35° and 125°. What is the third angle (in degrees)?
  16. 16.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 30°, 90° and 60°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 70°, 30° and 210°. What is the fourth angle (in degrees)?
  21. 21.An angle measures 215°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  22. 22.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  23. 23.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  24. 24.Four angles meet at a point. Three of them are 70°, 40° and 110°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 30°, 60° and 160°. What is the fourth angle (in degrees)?
  26. 26.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  27. 27.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  28. 28.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 30°, 70° and 80°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 65° and 10°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 40° and 100°. What is the third angle (in degrees)?
  32. 32.An angle measures 210°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  33. 33.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  34. 34.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  35. 35.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  36. 36.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  37. 37.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 100°, 100° and 50°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  40. 40.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?

Answer key

  1. 80
  2. 240
  3. 50
  4. North
  5. West
  6. 170
  7. 10
  8. Obtuse
  9. 60
  10. 180
  11. 270
  12. West
  13. West
  14. 120
  15. 20
  16. 120
  17. 210
  18. 180
  19. 30
  20. 50
  21. Reflex
  22. 45
  23. South
  24. 140
  25. 110
  26. North
  27. 30
  28. 90
  29. 180
  30. 105
  31. 40
  32. Reflex
  33. 30
  34. West
  35. 45
  36. East
  37. 70
  38. 110
  39. Right
  40. 36

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