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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 846 · 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 15° and 115°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 50°, 50° and 160°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 100°, 90° and 40°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 70°, 40° and 160°. What is the fourth angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  7. 7.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  8. 8.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  11. 11.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 90°, 90° and 50°. What is the fourth angle (in degrees)?
  13. 13.An angle measures 10°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  14. 14.Three angles together make a straight line. Two of them are 70° and 55°. What is the third angle (in degrees)?
  15. 15.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  16. 16.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  17. 17.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  18. 18.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  21. 21.An angle measures 40°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  22. 22.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 30°, 80° and 110°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  27. 27.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  28. 28.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  29. 29.An angle measures 30°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  30. 30.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  31. 31.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  32. 32.Four angles meet at a point. Three of them are 50°, 40° and 110°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 80°, 80° and 60°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  35. 35.An angle measures 160°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  36. 36.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 40° and 125°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 100°, 30° and 70°. What is the fourth angle (in degrees)?
  39. 39.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  40. 40.An angle measures 130°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex

Answer key

  1. 50
  2. 100
  3. 130
  4. 55
  5. 90
  6. 90
  7. 45
  8. 60
  9. 90
  10. Right
  11. 120
  12. 130
  13. Acute
  14. 55
  15. Straight
  16. 60
  17. North
  18. 45
  19. 300
  20. 20
  21. Acute
  22. 45
  23. 120
  24. 65
  25. 140
  26. Obtuse
  27. 72
  28. 60
  29. Acute
  30. South
  31. Obtuse
  32. 160
  33. 140
  34. 240
  35. Obtuse
  36. 120
  37. 15
  38. 160
  39. 20
  40. Obtuse

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