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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 476 · 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 North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  2. 2.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 60° and 75°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  5. 5.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  6. 6.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  7. 7.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 55°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  9. 9.Three angles together make a straight line. Two of them are 95° and 45°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 65° and 60°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 40° and 115°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 50°, 90° and 140°. What is the fourth angle (in degrees)?
  13. 13.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  14. 14.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  15. 15.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  16. 16.Three angles together make a straight line. Two of them are 20° and 20°. What is the third angle (in degrees)?
  17. 17.An angle measures 70°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  18. 18.Four angles meet at a point. Three of them are 70°, 70° and 210°. What is the fourth angle (in degrees)?
  19. 19.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  21. 21.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  22. 22.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  23. 23.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  24. 24.An angle measures 80°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  25. 25.Four angles meet at a point. Three of them are 80°, 80° and 180°. What is the fourth angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 50° and 80°. What is the fourth angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 40° and 150°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 310°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  29. 29.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 50°, 60° and 210°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  32. 32.An angle measures 75°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  33. 33.An angle measures 165°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  34. 34.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  35. 35.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  36. 36.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  37. 37.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  38. 38.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  39. 39.Four angles meet at a point. Three of them are 40°, 50° and 80°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?

Answer key

  1. West
  2. 210
  3. 45
  4. 30
  5. Straight
  6. 45
  7. 15
  8. Acute
  9. 40
  10. 55
  11. 25
  12. 80
  13. 36
  14. 60
  15. North
  16. 140
  17. Acute
  18. 10
  19. 120
  20. 90
  21. 40
  22. West
  23. 70
  24. Acute
  25. 20
  26. 200
  27. 130
  28. Reflex
  29. 270
  30. 40
  31. 240
  32. Acute
  33. Obtuse
  34. South
  35. South
  36. Right
  37. North
  38. South
  39. 190
  40. 95

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