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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 835 · 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 East and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  2. 2.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  3. 3.Four angles meet at a point. Three of them are 50°, 90° and 60°. What is the fourth angle (in degrees)?
  4. 4.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  6. 6.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  8. 8.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  10. 10.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 25° and 100°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 45° and 120°. What is the third angle (in degrees)?
  14. 14.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  15. 15.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 50°, 70° and 220°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  18. 18.Four angles meet at a point. Three of them are 70°, 60° and 160°. What is the fourth angle (in degrees)?
  19. 19.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 330°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  21. 21.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  22. 22.Three angles together make a straight line. Two of them are 20° and 55°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 90°, 70° and 60°. What is the fourth angle (in degrees)?
  25. 25.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  26. 26.An angle measures 95°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  27. 27.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  28. 28.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  29. 29.Four angles meet at a point. Three of them are 100°, 40° and 140°. What is the fourth angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  31. 31.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  32. 32.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  33. 33.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 10° and 60°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 60°, 40° and 30°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 50°, 70° and 180°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 30°, 90° and 180°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  40. 40.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?

Answer key

  1. South
  2. Straight
  3. 160
  4. 15
  5. 300
  6. 18
  7. 210
  8. 60
  9. Right
  10. 55
  11. 55
  12. 90
  13. 15
  14. South
  15. 45
  16. 20
  17. Obtuse
  18. 70
  19. 120
  20. Reflex
  21. East
  22. 105
  23. 125
  24. 140
  25. East
  26. Obtuse
  27. West
  28. 330
  29. 80
  30. 330
  31. South
  32. 90
  33. 30
  34. 110
  35. 230
  36. 60
  37. 60
  38. 30
  39. 330
  40. 90

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