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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 29 · 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.Four angles meet at a point. Three of them are 50°, 90° and 210°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 20° and 10°. What is the third angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  4. 4.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 25° and 35°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  7. 7.Four angles meet at a point. Three of them are 30°, 100° and 170°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 35°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  9. 9.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 50°, 40° and 220°. What is the fourth angle (in degrees)?
  11. 11.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 90°, 30° and 230°. What is the fourth angle (in degrees)?
  13. 13.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  14. 14.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 140°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  16. 16.Four angles meet at a point. Three of them are 90°, 80° and 80°. What is the fourth angle (in degrees)?
  17. 17.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  18. 18.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  19. 19.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 55°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  21. 21.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  22. 22.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  24. 24.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  25. 25.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  26. 26.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  27. 27.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 75° and 95°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  31. 31.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  33. 33.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  34. 34.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  36. 36.You face West 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 50°, 90° and 170°. What is the fourth angle (in degrees)?
  38. 38.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 40° and 110°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 50° and 50°. What is the fourth angle (in degrees)?

Answer key

  1. 10
  2. 150
  3. Straight
  4. 30
  5. 120
  6. 240
  7. 60
  8. Acute
  9. 60
  10. 50
  11. 36
  12. 10
  13. South
  14. 45
  15. Obtuse
  16. 110
  17. North
  18. 90
  19. 90
  20. Acute
  21. Right
  22. 60
  23. East
  24. West
  25. South
  26. 150
  27. 72
  28. 150
  29. 10
  30. 180
  31. 95
  32. 90
  33. Obtuse
  34. 40
  35. North
  36. South
  37. 50
  38. 120
  39. 30
  40. 210

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