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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 821 · 40 sums
TalentJR

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 North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  2. 2.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  3. 3.An angle measures 125°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  4. 4.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  5. 5.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 100°, 60° and 50°. What is the fourth angle (in degrees)?
  8. 8.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  9. 9.An angle measures 80°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  10. 10.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 10° and 120°. What is the third angle (in degrees)?
  12. 12.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 70°, 80° and 30°. What is the fourth angle (in degrees)?
  14. 14.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  15. 15.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  16. 16.Four angles meet at a point. Three of them are 100°, 90° and 60°. What is the fourth angle (in degrees)?
  17. 17.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 25° and 125°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 50° and 85°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 70° and 95°. What is the third angle (in degrees)?
  22. 22.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  24. 24.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  25. 25.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 60°, 90° and 60°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  28. 28.An angle measures 60°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  29. 29.Four angles meet at a point. Three of them are 70°, 100° and 80°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  35. 35.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  36. 36.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  37. 37.An angle measures 100°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  38. 38.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 50°, 60° and 60°. What is the fourth angle (in degrees)?

Answer key

  1. West
  2. East
  3. Obtuse
  4. South
  5. 120
  6. 65
  7. 150
  8. North
  9. Acute
  10. 36
  11. 50
  12. 40
  13. 180
  14. Right
  15. West
  16. 110
  17. 30
  18. 30
  19. 180
  20. 45
  21. 15
  22. 90
  23. 180
  24. South
  25. 15
  26. 150
  27. 40
  28. Acute
  29. 110
  30. 75
  31. 60
  32. 150
  33. 210
  34. 270
  35. South
  36. 65
  37. Obtuse
  38. 60
  39. 240
  40. 190

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