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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 267 · 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.

NameDateTime takenScore ___ / 40
  1. 1.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  2. 2.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  4. 4.Three angles together make a straight line. Two of them are 50° and 120°. What is the third angle (in degrees)?
  5. 5.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  6. 6.An angle measures 200°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  7. 7.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  8. 8.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 50°, 80° and 50°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 90° and 40°. What is the third angle (in degrees)?
  14. 14.An angle measures 75°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  15. 15.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  16. 16.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  18. 18.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  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 8 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 40°, 50° and 140°. What is the fourth angle (in degrees)?
  24. 24.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 70°, 50° and 60°. What is the fourth angle (in degrees)?
  26. 26.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  27. 27.Four angles meet at a point. Three of them are 80°, 30° and 80°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 50°, 60° and 120°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 75° and 55°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 40° and 85°. What is the third angle (in degrees)?
  32. 32.An angle measures 225°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  33. 33.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  34. 34.An angle measures 5°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  35. 35.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  36. 36.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  37. 37.Four angles meet at a point. Three of them are 30°, 50° and 200°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  39. 39.An angle measures 310°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  40. 40.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?

Answer key

  1. South
  2. 40
  3. Straight
  4. 10
  5. Reflex
  6. Reflex
  7. South
  8. 60
  9. 210
  10. 210
  11. 330
  12. 180
  13. 50
  14. Acute
  15. 100
  16. 72
  17. 60
  18. 60
  19. South
  20. West
  21. 45
  22. 45
  23. 130
  24. 90
  25. 180
  26. South
  27. 170
  28. 130
  29. 75
  30. 50
  31. 55
  32. Reflex
  33. 95
  34. Acute
  35. 210
  36. West
  37. 80
  38. 30
  39. Reflex
  40. 36

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