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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 451 · 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.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 65° and 80°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 40°, 70° and 30°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 70° and 160°. What is the fourth angle (in degrees)?
  5. 5.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  6. 6.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  7. 7.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 40° and 95°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 35° and 55°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  12. 12.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  13. 13.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 80° and 90°. What is the third angle (in degrees)?
  15. 15.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  16. 16.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  17. 17.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  19. 19.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  20. 20.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 50°, 100° and 130°. What is the fourth angle (in degrees)?
  23. 23.An angle measures 140°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  24. 24.An angle measures 85°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  25. 25.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  26. 26.Four angles meet at a point. Three of them are 80°, 40° and 40°. What is the fourth angle (in degrees)?
  27. 27.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  30. 30.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  31. 31.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 50°, 40° and 190°. What is the fourth angle (in degrees)?
  34. 34.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  35. 35.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 60°, 60° and 100°. What is the fourth angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 50° and 40°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 45° and 30°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 45° and 80°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 20° and 115°. What is the third angle (in degrees)?

Answer key

  1. 75
  2. 35
  3. 220
  4. 100
  5. West
  6. West
  7. 120
  8. 120
  9. 45
  10. 90
  11. 90
  12. North
  13. 45
  14. 10
  15. East
  16. Right
  17. 330
  18. 95
  19. East
  20. 18
  21. 60
  22. 80
  23. Obtuse
  24. Acute
  25. 300
  26. 200
  27. 120
  28. 270
  29. 90
  30. East
  31. 85
  32. 330
  33. 80
  34. South
  35. 40
  36. 140
  37. 90
  38. 105
  39. 55
  40. 45

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