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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 553 · 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 9 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  3. 3.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  4. 4.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  6. 6.An angle measures 45°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  7. 7.Four angles meet at a point. Three of them are 90°, 70° and 150°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 30° and 140°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 40°, 80° and 90°. What is the fourth angle (in degrees)?
  12. 12.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  14. 14.An angle measures 355°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  15. 15.An angle measures 10°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  16. 16.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  17. 17.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  18. 18.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  19. 19.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  20. 20.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  23. 23.An angle measures 100°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  24. 24.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 170°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  26. 26.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  27. 27.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  28. 28.Four angles meet at a point. Three of them are 40°, 50° and 260°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 90°, 50° and 160°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  32. 32.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  33. 33.An angle measures 80°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  34. 34.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  35. 35.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  36. 36.Four angles meet at a point. Three of them are 40°, 50° and 160°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 80° and 60°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 50°, 40° and 140°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 30°, 90° and 150°. What is the fourth angle (in degrees)?

Answer key

  1. 20
  2. 120
  3. South
  4. 75
  5. 60
  6. Acute
  7. 50
  8. 10
  9. 50
  10. 30
  11. 150
  12. 72
  13. North
  14. Reflex
  15. Acute
  16. 90
  17. West
  18. 18
  19. North
  20. 60
  21. 60
  22. Obtuse
  23. Obtuse
  24. 36
  25. Obtuse
  26. South
  27. Straight
  28. 10
  29. 190
  30. 60
  31. 300
  32. East
  33. Acute
  34. 210
  35. North
  36. 110
  37. 150
  38. 130
  39. 30
  40. 90

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