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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 654 · 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) South (b) West (c) North (d) East
  2. 2.Four angles meet at a point. Three of them are 90°, 100° and 30°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  5. 5.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 35° and 120°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 30° and 140°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  10. 10.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  11. 11.An angle measures 30°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  12. 12.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  13. 13.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  14. 14.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  15. 15.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  16. 16.Three angles together make a straight line. Two of them are 55° and 45°. What is the third angle (in degrees)?
  17. 17.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  18. 18.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  19. 19.A straight angle (180°) 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°, 90° and 150°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 90°, 80° and 160°. What is the fourth angle (in degrees)?
  23. 23.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  24. 24.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  25. 25.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 60°, 100° and 70°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 90°, 80° and 90°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 15° and 15°. What is the third angle (in degrees)?
  32. 32.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  33. 33.An angle measures 55°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  34. 34.Four angles meet at a point. Three of them are 100°, 60° and 150°. What is the fourth angle (in degrees)?
  35. 35.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  36. 36.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  37. 37.Four angles meet at a point. Three of them are 30°, 90° and 60°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 45° and 85°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?

Answer key

  1. South
  2. 140
  3. 55
  4. 240
  5. 45
  6. 25
  7. 10
  8. 30
  9. 105
  10. South
  11. Acute
  12. Obtuse
  13. Right
  14. 65
  15. Obtuse
  16. 80
  17. 72
  18. North
  19. 18
  20. 70
  21. 30
  22. 30
  23. Straight
  24. 20
  25. 45
  26. 240
  27. 130
  28. 330
  29. 300
  30. 100
  31. 150
  32. West
  33. Acute
  34. 50
  35. 30
  36. North
  37. 180
  38. 50
  39. 60
  40. 300

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