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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 622 · 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 90°, 40° and 220°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  3. 3.An angle measures 330°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  4. 4.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  5. 5.The minute hand of a clock turns clockwise from 6 to 10. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  7. 7.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  8. 8.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  9. 9.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  11. 11.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  12. 12.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  13. 13.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 80°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  15. 15.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 65° and 90°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  19. 19.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  20. 20.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  21. 21.Four angles meet at a point. Three of them are 100°, 80° and 150°. What is the fourth angle (in degrees)?
  22. 22.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  23. 23.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  24. 24.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  27. 27.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  29. 29.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  31. 31.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  32. 32.Four angles meet at a point. Three of them are 40°, 50° and 200°. What is the fourth angle (in degrees)?
  33. 33.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 30°, 30° and 80°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 80°, 70° and 180°. What is the fourth angle (in degrees)?

Answer key

  1. 10
  2. 45
  3. Reflex
  4. 330
  5. 120
  6. 50
  7. East
  8. West
  9. 36
  10. Straight
  11. East
  12. 60
  13. 30
  14. Acute
  15. 85
  16. 25
  17. 330
  18. 90
  19. West
  20. North
  21. 30
  22. 45
  23. Right
  24. 75
  25. 120
  26. South
  27. 90
  28. 15
  29. 120
  30. West
  31. South
  32. 70
  33. 15
  34. 90
  35. 120
  36. 220
  37. 30
  38. 300
  39. 120
  40. 30

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