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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 161 · 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 East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  2. 2.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  4. 4.Four angles meet at a point. Three of them are 70°, 90° and 120°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  6. 6.Four angles meet at a point. Three of them are 80°, 60° and 180°. What is the fourth angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 40°, 50° and 230°. What is the fourth angle (in degrees)?
  8. 8.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  9. 9.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  10. 10.Four angles meet at a point. Three of them are 60°, 100° and 70°. What is the fourth angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 40°, 40° and 170°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 30° and 125°. What is the third angle (in degrees)?
  13. 13.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  14. 14.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  15. 15.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  16. 16.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  17. 17.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  19. 19.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  21. 21.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  22. 22.Three angles together make a straight line. Two of them are 20° and 130°. What is the third angle (in degrees)?
  23. 23.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  24. 24.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  25. 25.Three angles together make a straight line. Two of them are 45° and 90°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 90°, 60° and 200°. What is the fourth angle (in degrees)?
  27. 27.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  28. 28.An angle measures 35°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  29. 29.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 90°, 30° and 50°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 50° and 55°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 95° and 60°. What is the third angle (in degrees)?
  33. 33.An angle measures 345°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  34. 34.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 40°, 90° and 50°. What is the fourth angle (in degrees)?
  38. 38.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  39. 39.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?

Answer key

  1. West
  2. 60
  3. 60
  4. 80
  5. 330
  6. 40
  7. 40
  8. East
  9. South
  10. 130
  11. 110
  12. 25
  13. East
  14. 40
  15. South
  16. 70
  17. 90
  18. Right
  19. 15
  20. 45
  21. North
  22. 30
  23. Straight
  24. South
  25. 45
  26. 10
  27. East
  28. Acute
  29. 90
  30. 190
  31. 75
  32. 25
  33. Reflex
  34. 55
  35. 65
  36. 45
  37. 180
  38. South
  39. 270
  40. 270

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