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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 464 · 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 West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  2. 2.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  4. 4.Three angles together make a straight line. Two of them are 10° and 120°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 50°, 30° and 140°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?
  7. 7.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  10. 10.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  11. 11.Four angles meet at a point. Three of them are 90°, 80° and 30°. What is the fourth angle (in degrees)?
  12. 12.An angle measures 55°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  13. 13.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  17. 17.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 80° and 20°. What is the third angle (in degrees)?
  19. 19.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 50°, 70° and 150°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  22. 22.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  23. 23.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  24. 24.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 50°, 60° and 220°. What is the fourth angle (in degrees)?
  26. 26.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  27. 27.An angle measures 220°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  28. 28.Four angles meet at a point. Three of them are 40°, 90° and 150°. What is the fourth angle (in degrees)?
  29. 29.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  30. 30.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  31. 31.Three angles together make a straight line. Two of them are 60° and 95°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  33. 33.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  34. 34.The minute hand of a clock turns clockwise from 6 to 10. How many degrees does it turn?
  35. 35.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  36. 36.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  38. 38.An angle measures 40°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  39. 39.Three angles together make a straight line. Two of them are 25° and 45°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 80° and 180°. What is the fourth angle (in degrees)?

Answer key

  1. South
  2. 20
  3. 150
  4. 50
  5. 140
  6. 45
  7. 120
  8. 95
  9. 65
  10. East
  11. 160
  12. Acute
  13. 240
  14. 85
  15. 60
  16. 30
  17. 45
  18. 80
  19. 36
  20. 90
  21. 240
  22. Straight
  23. West
  24. 95
  25. 30
  26. 30
  27. Reflex
  28. 80
  29. South
  30. 180
  31. 25
  32. 145
  33. North
  34. 120
  35. West
  36. 95
  37. 70
  38. Acute
  39. 110
  40. 10

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