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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 425 · 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 South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  2. 2.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 60°, 70° and 170°. What is the fourth angle (in degrees)?
  4. 4.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  5. 5.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 25° and 110°. What is the third angle (in degrees)?
  7. 7.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  8. 8.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  9. 9.An angle measures 140°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  10. 10.An angle measures 125°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  11. 11.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  13. 13.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  16. 16.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?
  17. 17.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  18. 18.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 70°, 40° and 210°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  21. 21.An angle measures 10°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  22. 22.An angle measures 330°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  23. 23.An angle measures 30°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  24. 24.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  25. 25.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 40°, 30° and 110°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  28. 28.An angle measures 170°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  29. 29.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  30. 30.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 60°, 60° and 140°. What is the fourth angle (in degrees)?
  32. 32.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  33. 33.Four angles meet at a point. Three of them are 100°, 100° and 110°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  35. 35.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  36. 36.Three angles together make a straight line. Two of them are 25° and 45°. What is the third angle (in degrees)?
  37. 37.An angle measures 145°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  38. 38.Three angles together make a straight line. Two of them are 75° and 35°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 80°, 30° and 220°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. 15
  3. 60
  4. East
  5. 150
  6. 45
  7. South
  8. 180
  9. Obtuse
  10. Obtuse
  11. 36
  12. 30
  13. 40
  14. 60
  15. Right
  16. 115
  17. South
  18. 180
  19. 40
  20. 65
  21. Acute
  22. Reflex
  23. Acute
  24. South
  25. 120
  26. 180
  27. 75
  28. Obtuse
  29. East
  30. 45
  31. 100
  32. West
  33. 50
  34. 240
  35. Straight
  36. 110
  37. Obtuse
  38. 70
  39. 15
  40. 30

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