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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 568 · 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 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  2. 2.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 90°, 40° and 80°. What is the fourth angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  5. 5.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  6. 6.An angle measures 80°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  7. 7.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  8. 8.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  9. 9.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 100°, 40° and 190°. What is the fourth angle (in degrees)?
  12. 12.An angle measures 140°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  13. 13.Four angles meet at a point. Three of them are 90°, 80° and 30°. What is the fourth angle (in degrees)?
  14. 14.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  15. 15.Three angles together make a straight line. Two of them are 40° and 110°. What is the third angle (in degrees)?
  16. 16.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  17. 17.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  18. 18.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  19. 19.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 60° and 100°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 75° and 25°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  24. 24.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  25. 25.Four angles meet at a point. Three of them are 70°, 40° and 210°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 45° and 30°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 9 to 2. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 65° and 80°. What is the third angle (in degrees)?
  30. 30.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 80°, 40° and 70°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 25° and 120°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  35. 35.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  36. 36.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  38. 38.Three angles together make a straight line. Two of them are 40° and 55°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 40°, 90° and 210°. What is the fourth angle (in degrees)?
  40. 40.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?

Answer key

  1. East
  2. 36
  3. 150
  4. 60
  5. North
  6. Acute
  7. 330
  8. West
  9. 30
  10. 55
  11. 30
  12. Obtuse
  13. 160
  14. North
  15. 30
  16. 90
  17. North
  18. Straight
  19. 45
  20. 20
  21. 80
  22. 240
  23. 240
  24. South
  25. 40
  26. 105
  27. 150
  28. 180
  29. 35
  30. 30
  31. 170
  32. 35
  33. 120
  34. 90
  35. West
  36. 72
  37. East
  38. 85
  39. 20
  40. 20

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