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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 741 · 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.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  2. 2.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  3. 3.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  4. 4.Three angles together make a straight line. Two of them are 45° and 90°. What is the third angle (in degrees)?
  5. 5.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  6. 6.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  7. 7.An angle measures 80°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  8. 8.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  10. 10.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  12. 12.An angle measures 330°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  13. 13.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 90°, 70° and 70°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  17. 17.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  18. 18.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  19. 19.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 50°, 90° and 160°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 40° and 85°. What is the third angle (in degrees)?
  23. 23.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  24. 24.Four angles meet at a point. Three of them are 30°, 30° and 90°. What is the fourth angle (in degrees)?
  25. 25.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  26. 26.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  27. 27.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  28. 28.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  29. 29.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  30. 30.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  31. 31.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 70°, 50° and 170°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 40°, 40° and 100°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 55° and 55°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  38. 38.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  39. 39.Three angles together make a straight line. Two of them are 90° and 65°. What is the third angle (in degrees)?
  40. 40.An angle measures 280°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex

Answer key

  1. 90
  2. West
  3. 240
  4. 45
  5. East
  6. 30
  7. Acute
  8. 120
  9. 270
  10. 90
  11. Acute
  12. Reflex
  13. 135
  14. 270
  15. 130
  16. 105
  17. West
  18. East
  19. 36
  20. 60
  21. 50
  22. 55
  23. Straight
  24. 210
  25. South
  26. 300
  27. 60
  28. West
  29. 60
  30. North
  31. 120
  32. 70
  33. 180
  34. 100
  35. 70
  36. 300
  37. 30
  38. South
  39. 25
  40. Reflex

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