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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 282 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.Four angles meet at a point. Three of them are 70°, 70° and 70°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  3. 3.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  4. 4.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  5. 5.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  6. 6.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  7. 7.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  8. 8.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  10. 10.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  11. 11.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  12. 12.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 90°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  14. 14.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  15. 15.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 90°, 40° and 70°. What is the fourth angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 40°, 80° and 160°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 70°, 50° and 70°. What is the fourth angle (in degrees)?
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  24. 24.Four angles meet at a point. Three of them are 60°, 30° and 170°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 190°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  26. 26.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  28. 28.An angle measures 260°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  29. 29.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  30. 30.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 80°, 80° and 80°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 40°, 80° and 70°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  38. 38.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  39. 39.Four angles meet at a point. Three of them are 80°, 30° and 50°. What is the fourth angle (in degrees)?
  40. 40.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex

Answer key

  1. 150
  2. Straight
  3. South
  4. Obtuse
  5. South
  6. 30
  7. North
  8. South
  9. South
  10. 45
  11. North
  12. 90
  13. Right
  14. 300
  15. 120
  16. 160
  17. 240
  18. 210
  19. 80
  20. 170
  21. 30
  22. 180
  23. 210
  24. 100
  25. Reflex
  26. 90
  27. 30
  28. Reflex
  29. South
  30. 30
  31. 120
  32. 25
  33. 210
  34. 170
  35. 65
  36. 60
  37. 210
  38. West
  39. 200
  40. Obtuse

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