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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 860 · 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 full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  3. 3.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 30° and 60°. What is the third angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 50°, 90° and 190°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 9 to 1. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 45° and 30°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 20° and 100°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 50°, 30° and 110°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 50°, 70° and 190°. What is the fourth angle (in degrees)?
  15. 15.A full turn (360°) 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 55° and 80°. What is the third angle (in degrees)?
  17. 17.An angle measures 30°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  18. 18.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 40°, 80° and 40°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 90°, 60° and 110°. What is the fourth angle (in degrees)?
  22. 22.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  23. 23.An angle measures 140°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  24. 24.An angle measures 70°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  25. 25.Three angles together make a straight line. Two of them are 15° and 100°. What is the third angle (in degrees)?
  26. 26.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 30°, 60° and 150°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 270°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  29. 29.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  30. 30.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  31. 31.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 40° and 120°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  35. 35.An angle measures 310°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  36. 36.Three angles together make a straight line. Two of them are 30° and 100°. What is the third angle (in degrees)?
  37. 37.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  38. 38.An angle measures 240°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  39. 39.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?

Answer key

  1. 45
  2. Straight
  3. 55
  4. 330
  5. 75
  6. 90
  7. 240
  8. 30
  9. 120
  10. 105
  11. 60
  12. 50
  13. 170
  14. 50
  15. 120
  16. 45
  17. Acute
  18. 180
  19. 200
  20. 190
  21. 100
  22. West
  23. Obtuse
  24. Acute
  25. 65
  26. 60
  27. 120
  28. Reflex
  29. Right
  30. 60
  31. 18
  32. 60
  33. 20
  34. 55
  35. Reflex
  36. 50
  37. 20
  38. Reflex
  39. 30
  40. 65

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