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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 173 · 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.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  2. 2.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  3. 3.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 30° and 40°. What is the third angle (in degrees)?
  5. 5.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  7. 7.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  8. 8.The minute hand of a clock turns clockwise from 9 to 8. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 50° and 120°. What is the third angle (in degrees)?
  11. 11.An angle measures 25°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  12. 12.Three angles together make a straight line. Two of them are 50° and 45°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 40° and 90°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 40° and 40°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 25° and 40°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 35° and 70°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 95° and 55°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  20. 20.An angle measures 80°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  21. 21.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  24. 24.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  25. 25.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  26. 26.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 70°, 80° and 100°. What is the fourth angle (in degrees)?
  28. 28.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 40°, 40° and 150°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  31. 31.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  32. 32.An angle measures 65°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  33. 33.Four angles meet at a point. Three of them are 70°, 90° and 170°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  36. 36.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  37. 37.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  38. 38.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  40. 40.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse

Answer key

  1. South
  2. 40
  3. 36
  4. 110
  5. 60
  6. Right
  7. West
  8. 330
  9. 270
  10. 10
  11. Acute
  12. 85
  13. 200
  14. 100
  15. 115
  16. 150
  17. 75
  18. 30
  19. 90
  20. Acute
  21. 60
  22. 120
  23. 210
  24. North
  25. East
  26. 90
  27. 110
  28. 45
  29. 130
  30. 75
  31. West
  32. Acute
  33. 30
  34. 90
  35. 240
  36. Obtuse
  37. North
  38. 20
  39. 150
  40. Straight

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