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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 409 · 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.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
  4. 4.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  5. 5.Four angles meet at a point. Three of them are 100°, 70° and 170°. What is the fourth angle (in degrees)?
  6. 6.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  11. 11.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  12. 12.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  13. 13.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  14. 14.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  15. 15.Four angles meet at a point. Three of them are 40°, 100° and 50°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 50°, 40° and 110°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 210°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  18. 18.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  19. 19.Four angles meet at a point. Three of them are 60°, 50° and 230°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 60°, 30° and 40°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 60°, 100° and 30°. What is the fourth angle (in degrees)?
  23. 23.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  24. 24.Three angles together make a straight line. Two of them are 20° and 45°. What is the third angle (in degrees)?
  25. 25.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  26. 26.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  28. 28.An angle measures 35°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  29. 29.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 40°, 50° and 230°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 90°, 40° and 120°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 60°, 30° and 50°. What is the fourth angle (in degrees)?
  34. 34.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  35. 35.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  36. 36.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 40°, 80° and 70°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 30°, 40° and 130°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 50° and 30°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 65° and 60°. What is the third angle (in degrees)?

Answer key

  1. 45
  2. 60
  3. 90
  4. North
  5. 20
  6. 60
  7. 90
  8. 180
  9. 75
  10. 15
  11. 36
  12. Right
  13. 90
  14. North
  15. 170
  16. 160
  17. Reflex
  18. West
  19. 20
  20. 230
  21. 90
  22. 170
  23. East
  24. 115
  25. East
  26. 45
  27. 60
  28. Acute
  29. 330
  30. 40
  31. 110
  32. 60
  33. 220
  34. West
  35. 30
  36. 30
  37. 170
  38. 160
  39. 230
  40. 55

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