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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 577 · 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 40°, 50° and 90°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  4. 4.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  5. 5.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  7. 7.Three angles together make a straight line. Two of them are 70° and 50°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 30° and 55°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  11. 11.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  12. 12.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  13. 13.Four angles meet at a point. Three of them are 100°, 70° and 50°. What is the fourth angle (in degrees)?
  14. 14.An angle measures 155°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  15. 15.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  16. 16.An angle measures 45°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  17. 17.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 50° and 130°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 180°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  20. 20.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 90°, 100° and 30°. What is the fourth angle (in degrees)?
  22. 22.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  23. 23.An angle measures 195°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  24. 24.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 15° and 10°. What is the third angle (in degrees)?
  26. 26.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  27. 27.Four angles meet at a point. Three of them are 40°, 60° and 150°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 30°, 30° and 190°. What is the fourth angle (in degrees)?
  29. 29.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  30. 30.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 90°, 70° and 50°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?
  35. 35.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 35° and 25°. What is the third angle (in degrees)?
  38. 38.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  39. 39.Three angles together make a straight line. Two of them are 60° and 75°. What is the third angle (in degrees)?
  40. 40.An angle measures 205°. What kind of angle is it? (a) Right (b) Straight (c) Reflex

Answer key

  1. 45
  2. 180
  3. 35
  4. East
  5. 60
  6. 330
  7. 60
  8. 95
  9. 30
  10. 270
  11. 90
  12. West
  13. 140
  14. Obtuse
  15. South
  16. Acute
  17. 40
  18. 150
  19. Straight
  20. 30
  21. 140
  22. 15
  23. Reflex
  24. 90
  25. 155
  26. Right
  27. 110
  28. 110
  29. 60
  30. 30
  31. 120
  32. 150
  33. 300
  34. 45
  35. 36
  36. 45
  37. 120
  38. Obtuse
  39. 45
  40. Reflex

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