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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 615 · 40 sums
TalentJR

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.

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  1. 1.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  2. 2.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  3. 3.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  6. 6.Three angles together make a straight line. Two of them are 40° and 85°. What is the third angle (in degrees)?
  7. 7.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  8. 8.Four angles meet at a point. Three of them are 100°, 40° and 80°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 55° and 45°. What is the third angle (in degrees)?
  10. 10.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  11. 11.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  12. 12.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  14. 14.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 100°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  16. 16.Three angles together make a straight line. Two of them are 40° and 120°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 70° and 65°. What is the third angle (in degrees)?
  19. 19.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  20. 20.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  21. 21.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  22. 22.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  23. 23.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  24. 24.An angle measures 85°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  25. 25.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  26. 26.An angle measures 10°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  27. 27.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  30. 30.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  31. 31.Four angles meet at a point. Three of them are 60°, 80° and 60°. What is the fourth angle (in degrees)?
  32. 32.An angle measures 210°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  33. 33.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  34. 34.Four angles meet at a point. Three of them are 60°, 50° and 90°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  36. 36.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  37. 37.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 60°, 60° and 110°. What is the fourth angle (in degrees)?

Answer key

  1. West
  2. 55
  3. 36
  4. 20
  5. Right
  6. 55
  7. South
  8. 140
  9. 80
  10. South
  11. 55
  12. 30
  13. 40
  14. 120
  15. Obtuse
  16. 20
  17. 300
  18. 45
  19. 40
  20. 30
  21. Straight
  22. Obtuse
  23. 300
  24. Acute
  25. East
  26. Acute
  27. 115
  28. 30
  29. 30
  30. East
  31. 160
  32. Reflex
  33. Obtuse
  34. 160
  35. 210
  36. South
  37. 45
  38. 330
  39. 270
  40. 130

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