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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 733 · 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) Acute (b) Straight (c) Obtuse
  2. 2.Three angles together make a straight line. Two of them are 75° and 85°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 60°, 100° and 110°. What is the fourth angle (in degrees)?
  5. 5.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  6. 6.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  7. 7.An angle measures 75°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  8. 8.An angle measures 260°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  9. 9.Four angles meet at a point. Three of them are 30°, 80° and 140°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  12. 12.An angle measures 95°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  13. 13.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  14. 14.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 60°, 80° and 60°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 45° and 60°. What is the third angle (in degrees)?
  18. 18.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 70° and 65°. What is the third angle (in degrees)?
  20. 20.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  21. 21.Three angles together make a straight line. Two of them are 15° and 120°. What is the third angle (in degrees)?
  22. 22.An angle measures 55°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  23. 23.An angle measures 355°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  24. 24.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  26. 26.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  27. 27.An angle measures 145°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  28. 28.Four angles meet at a point. Three of them are 60°, 50° and 90°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  30. 30.An angle measures 65°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  31. 31.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  33. 33.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  34. 34.The minute hand of a clock turns clockwise from 9 to 2. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 70°, 80° and 190°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 45° and 30°. What is the third angle (in degrees)?
  38. 38.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  39. 39.An angle measures 140°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  40. 40.An angle measures 285°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute

Answer key

  1. Straight
  2. 20
  3. 70
  4. 90
  5. 90
  6. East
  7. Acute
  8. Reflex
  9. 110
  10. 120
  11. 90
  12. Obtuse
  13. 95
  14. 60
  15. 160
  16. 40
  17. 75
  18. 40
  19. 45
  20. North
  21. 45
  22. Acute
  23. Reflex
  24. 90
  25. 75
  26. West
  27. Obtuse
  28. 160
  29. 30
  30. Acute
  31. 18
  32. West
  33. East
  34. 150
  35. 20
  36. 210
  37. 105
  38. South
  39. Obtuse
  40. Reflex

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