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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 18 · 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) North (b) South (c) West (d) East
  2. 2.Three angles together make a straight line. Two of them are 65° and 25°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 80°, 50° and 180°. What is the fourth angle (in degrees)?
  4. 4.An angle measures 230°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  5. 5.Three angles together make a straight line. Two of them are 70° and 85°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 50°, 70° and 150°. What is the fourth angle (in degrees)?
  7. 7.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  8. 8.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  9. 9.Four angles meet at a point. Three of them are 90°, 40° and 160°. What is the fourth angle (in degrees)?
  10. 10.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 40°, 50° and 30°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  16. 16.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  17. 17.Three angles together make a straight line. Two of them are 15° and 95°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 35° and 50°. What is the third angle (in degrees)?
  19. 19.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  20. 20.Four angles meet at a point. Three of them are 30°, 90° and 70°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  23. 23.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 80° and 160°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 85° and 10°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 80°, 60° and 70°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  29. 29.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  30. 30.Four angles meet at a point. Three of them are 30°, 70° and 250°. What is the fourth angle (in degrees)?
  31. 31.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  32. 32.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  34. 34.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  35. 35.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  36. 36.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 70°, 90° and 160°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?

Answer key

  1. West
  2. 90
  3. 50
  4. Reflex
  5. 25
  6. 90
  7. East
  8. Straight
  9. 70
  10. 30
  11. 240
  12. 240
  13. 70
  14. 45
  15. 90
  16. North
  17. 70
  18. 95
  19. Right
  20. 170
  21. 30
  22. 270
  23. 20
  24. 75
  25. 60
  26. 85
  27. 150
  28. 300
  29. East
  30. 10
  31. 18
  32. 40
  33. 105
  34. South
  35. South
  36. 30
  37. 120
  38. 40
  39. 300
  40. 45

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