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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 12 · 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 50°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 50°, 40° and 50°. What is the fourth angle (in degrees)?
  4. 4.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  5. 5.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 5°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  8. 8.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  9. 9.An angle measures 85°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  10. 10.Three angles together make a straight line. Two of them are 15° and 15°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  14. 14.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  15. 15.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  17. 17.An angle measures 50°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  18. 18.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  19. 19.An angle measures 195°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  20. 20.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  21. 21.An angle measures 45°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  22. 22.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 70° and 55°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  25. 25.An angle measures 110°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  27. 27.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  28. 28.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  29. 29.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  30. 30.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  31. 31.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  32. 32.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  33. 33.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  34. 34.Four angles meet at a point. Three of them are 80°, 40° and 140°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 60° and 20°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 90°, 30° and 210°. What is the fourth angle (in degrees)?
  37. 37.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 90°, 90° and 40°. What is the fourth angle (in degrees)?
  40. 40.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?

Answer key

  1. 90
  2. 75
  3. 220
  4. 45
  5. West
  6. 36
  7. Acute
  8. 70
  9. Acute
  10. 150
  11. 15
  12. 45
  13. 90
  14. North
  15. 55
  16. 150
  17. Acute
  18. 240
  19. Reflex
  20. West
  21. Acute
  22. 30
  23. 55
  24. 180
  25. Obtuse
  26. South
  27. Straight
  28. South
  29. South
  30. West
  31. Right
  32. 90
  33. Acute
  34. 100
  35. 100
  36. 30
  37. 60
  38. 40
  39. 140
  40. 45

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