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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 582 · 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 anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  2. 2.Three angles together make a straight line. Two of them are 65° and 100°. What is the third angle (in degrees)?
  3. 3.An angle measures 240°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  4. 4.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  5. 5.Three angles together make a straight line. Two of them are 85° and 80°. What is the third angle (in degrees)?
  6. 6.An angle measures 115°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  7. 7.Three angles together make a straight line. Two of them are 25° and 95°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 80°, 100° and 90°. What is the fourth angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 60°, 70° and 120°. 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.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  12. 12.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  13. 13.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  15. 15.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  16. 16.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  18. 18.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 75° and 85°. What is the third angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 100°, 60° and 160°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  23. 23.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  24. 24.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 50° and 95°. What is the third angle (in degrees)?
  28. 28.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  32. 32.An angle measures 30°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  33. 33.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  35. 35.An angle measures 120°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  36. 36.Four angles meet at a point. Three of them are 90°, 30° and 210°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  39. 39.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?

Answer key

  1. North
  2. 15
  3. Reflex
  4. Straight
  5. 15
  6. Obtuse
  7. 60
  8. 90
  9. 110
  10. 30
  11. East
  12. 60
  13. 45
  14. Acute
  15. North
  16. 90
  17. Right
  18. 30
  19. 20
  20. 210
  21. 40
  22. 30
  23. East
  24. 45
  25. 150
  26. 300
  27. 35
  28. 15
  29. 270
  30. 30
  31. 270
  32. Acute
  33. 300
  34. 30
  35. Obtuse
  36. 30
  37. 60
  38. 150
  39. 45
  40. 210

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