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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 221 · 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 South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  2. 2.An angle measures 10°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  3. 3.An angle measures 65°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  4. 4.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  5. 5.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  6. 6.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  7. 7.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  8. 8.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  9. 9.Three angles together make a straight line. Two of them are 15° and 155°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 80° and 40°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 35° and 60°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 30° and 90°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 30° and 100°. What is the third angle (in degrees)?
  15. 15.An angle measures 305°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  16. 16.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  17. 17.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 115°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  19. 19.An angle measures 5°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  20. 20.Four angles meet at a point. Three of them are 40°, 30° and 140°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  22. 22.Three angles together make a straight line. Two of them are 10° and 90°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 70° and 10°. What is the third angle (in degrees)?
  24. 24.An angle measures 210°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  25. 25.Four angles meet at a point. Three of them are 90°, 100° and 100°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 50°, 40° and 200°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 70°, 40° and 60°. What is the fourth angle (in degrees)?
  29. 29.An angle measures 45°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  30. 30.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 100°, 80° and 140°. What is the fourth angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 40°, 90° and 40°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  34. 34.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 30° and 55°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 50°, 50° and 210°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 50°, 90° and 140°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 40°, 50° and 30°. What is the fourth angle (in degrees)?

Answer key

  1. East
  2. Acute
  3. Acute
  4. 55
  5. East
  6. East
  7. 36
  8. West
  9. 10
  10. 60
  11. 120
  12. 85
  13. 60
  14. 50
  15. Reflex
  16. West
  17. 90
  18. Obtuse
  19. Acute
  20. 150
  21. 90
  22. 80
  23. 100
  24. Reflex
  25. 70
  26. 45
  27. 70
  28. 190
  29. Acute
  30. 210
  31. 40
  32. 190
  33. 270
  34. 30
  35. 95
  36. 45
  37. 50
  38. 80
  39. 330
  40. 240

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