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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 863 · 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.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  2. 2.Four angles meet at a point. Three of them are 80°, 40° and 120°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  4. 4.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  7. 7.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  10. 10.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  11. 11.Three angles together make a straight line. Two of them are 60° and 30°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 100°, 100° and 90°. What is the fourth angle (in degrees)?
  13. 13.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  14. 14.Four angles meet at a point. Three of them are 100°, 50° and 190°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 90°, 70° and 100°. What is the fourth angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 80°, 70° and 100°. What is the fourth angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  20. 20.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  21. 21.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  22. 22.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  23. 23.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 40°, 100° and 210°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 240°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  28. 28.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  29. 29.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  30. 30.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  31. 31.An angle measures 25°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  32. 32.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  33. 33.Three angles together make a straight line. Two of them are 55° and 100°. What is the third angle (in degrees)?
  34. 34.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  35. 35.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  36. 36.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  37. 37.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  38. 38.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 60°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  40. 40.Four angles meet at a point. Three of them are 30°, 60° and 40°. What is the fourth angle (in degrees)?

Answer key

  1. South
  2. 120
  3. Straight
  4. 45
  5. 60
  6. 120
  7. 65
  8. 95
  9. 120
  10. North
  11. 90
  12. 70
  13. North
  14. 20
  15. 90
  16. 100
  17. 110
  18. 115
  19. 240
  20. South
  21. 45
  22. 90
  23. 60
  24. 270
  25. 35
  26. 10
  27. Reflex
  28. 330
  29. South
  30. Obtuse
  31. Acute
  32. East
  33. 25
  34. 30
  35. East
  36. 90
  37. 36
  38. 30
  39. Acute
  40. 230

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