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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 830 · 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.

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  1. 1.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  2. 2.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  3. 3.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  4. 4.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 10° and 25°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  8. 8.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  9. 9.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  10. 10.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  12. 12.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  13. 13.An angle measures 95°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  14. 14.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  15. 15.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 20° and 50°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  19. 19.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  21. 21.An angle measures 50°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  22. 22.Three angles together make a straight line. Two of them are 80° and 20°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  24. 24.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  25. 25.An angle measures 180°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  26. 26.Three angles together make a straight line. Two of them are 50° and 35°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 80°, 80° and 140°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  31. 31.An angle measures 65°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  32. 32.An angle measures 170°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  33. 33.Four angles meet at a point. Three of them are 50°, 30° and 270°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 40° and 30°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  37. 37.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  38. 38.Four angles meet at a point. Three of them are 90°, 40° and 110°. What is the fourth angle (in degrees)?
  39. 39.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 30°, 80° and 200°. What is the fourth angle (in degrees)?

Answer key

  1. 100
  2. South
  3. 240
  4. 60
  5. 145
  6. 40
  7. 240
  8. 20
  9. South
  10. 36
  11. East
  12. North
  13. Obtuse
  14. West
  15. 90
  16. 110
  17. 150
  18. 210
  19. 120
  20. South
  21. Acute
  22. 80
  23. 30
  24. Right
  25. Straight
  26. 95
  27. 180
  28. 60
  29. 270
  30. 30
  31. Acute
  32. Obtuse
  33. 10
  34. 200
  35. 30
  36. 150
  37. East
  38. 120
  39. 30
  40. 50

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