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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 125 · 40 sums
TalentJR

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

Answer key

  1. 110
  2. 160
  3. South
  4. 270
  5. 70
  6. Acute
  7. 15
  8. 60
  9. 55
  10. 30
  11. Straight
  12. West
  13. South
  14. 150
  15. 65
  16. 90
  17. 210
  18. 40
  19. 18
  20. East
  21. 150
  22. 45
  23. Obtuse
  24. 30
  25. 10
  26. 45
  27. West
  28. 40
  29. 330
  30. 40
  31. 90
  32. 50
  33. East
  34. 120
  35. Acute
  36. 105
  37. Right
  38. East
  39. 20
  40. 72

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