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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 731 · 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.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  3. 3.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  4. 4.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  5. 5.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  6. 6.Three angles together make a straight line. Two of them are 30° and 130°. What is the third angle (in degrees)?
  7. 7.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  8. 8.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  9. 9.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  10. 10.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  11. 11.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  12. 12.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  13. 13.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  14. 14.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 45° and 60°. What is the third angle (in degrees)?
  18. 18.An angle measures 40°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  19. 19.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  20. 20.Four angles meet at a point. Three of them are 30°, 40° and 230°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 100°, 40° and 100°. What is the fourth angle (in degrees)?
  23. 23.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 30°, 60° and 140°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  26. 26.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  27. 27.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  31. 31.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 60°, 100° and 90°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 80° and 80°. What is the third angle (in degrees)?
  34. 34.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  35. 35.You face East and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  36. 36.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  37. 37.Four angles meet at a point. Three of them are 30°, 50° and 70°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?

Answer key

  1. 130
  2. 90
  3. 90
  4. East
  5. East
  6. 20
  7. 36
  8. South
  9. South
  10. 120
  11. Right
  12. 90
  13. West
  14. 145
  15. 60
  16. 240
  17. 75
  18. Acute
  19. 210
  20. 60
  21. 145
  22. 120
  23. 36
  24. 130
  25. 105
  26. North
  27. 60
  28. 45
  29. 125
  30. 60
  31. 72
  32. 110
  33. 20
  34. Straight
  35. South
  36. West
  37. 210
  38. 90
  39. 150
  40. 270

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