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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 477 · 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.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  2. 2.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  3. 3.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  4. 4.Three angles together make a straight line. Two of them are 20° and 60°. What is the third angle (in degrees)?
  5. 5.An angle measures 130°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  6. 6.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 35° and 40°. What is the third angle (in degrees)?
  8. 8.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  11. 11.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  12. 12.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  13. 13.Four angles meet at a point. Three of them are 90°, 100° and 130°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 70°, 30° and 160°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 80° and 70°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  19. 19.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  20. 20.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  21. 21.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 90°, 50° and 60°. What is the fourth angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  24. 24.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  25. 25.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  26. 26.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  27. 27.An angle measures 5°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  28. 28.Four angles meet at a point. Three of them are 70°, 60° and 120°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  30. 30.An angle measures 70°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  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.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 70°, 100° and 60°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 40°, 100° and 50°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  36. 36.An angle measures 65°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  37. 37.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  38. 38.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 85°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  40. 40.Three angles together make a straight line. Two of them are 45° and 15°. What is the third angle (in degrees)?

Answer key

  1. Straight
  2. 75
  3. West
  4. 100
  5. Obtuse
  6. 20
  7. 105
  8. 90
  9. 270
  10. 100
  11. Right
  12. East
  13. 40
  14. 95
  15. 100
  16. 30
  17. 60
  18. 180
  19. 18
  20. West
  21. 120
  22. 160
  23. 60
  24. 36
  25. North
  26. 30
  27. Acute
  28. 110
  29. 60
  30. Acute
  31. West
  32. 45
  33. 130
  34. 170
  35. 30
  36. Acute
  37. Obtuse
  38. 90
  39. Acute
  40. 120

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