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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 705 · 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.

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  1. 1.Three angles together make a straight line. Two of them are 40° and 10°. What is the third angle (in degrees)?
  2. 2.An angle measures 340°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  3. 3.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  5. 5.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  6. 6.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 140°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  8. 8.An angle measures 45°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  9. 9.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  10. 10.An angle measures 70°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  11. 11.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  12. 12.An angle measures 35°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  13. 13.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  15. 15.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  16. 16.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  18. 18.Four angles meet at a point. Three of them are 80°, 80° and 50°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 95° and 25°. What is the third angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  21. 21.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  24. 24.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  26. 26.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  27. 27.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  28. 28.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  29. 29.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  30. 30.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  31. 31.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  32. 32.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  34. 34.An angle measures 170°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  35. 35.Four angles meet at a point. Three of them are 50°, 30° and 30°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 15° and 140°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 50°, 30° and 80°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 70° and 200°. What is the fourth angle (in degrees)?

Answer key

  1. 130
  2. Reflex
  3. 72
  4. South
  5. Straight
  6. 90
  7. Obtuse
  8. Acute
  9. South
  10. Acute
  11. East
  12. Acute
  13. 330
  14. 30
  15. West
  16. 40
  17. West
  18. 150
  19. 60
  20. Right
  21. 60
  22. 90
  23. 210
  24. 60
  25. South
  26. 65
  27. 36
  28. East
  29. West
  30. 210
  31. South
  32. 240
  33. 150
  34. Obtuse
  35. 250
  36. 30
  37. 25
  38. 200
  39. 100
  40. 40

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