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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 360 · 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 80°, 50° and 210°. What is the fourth angle (in degrees)?
  2. 2.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  3. 3.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  4. 4.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  5. 5.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  6. 6.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  7. 7.An angle measures 80°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  8. 8.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  9. 9.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  10. 10.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 25° and 70°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 100°, 100° and 40°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 90° and 40°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 90°, 40° and 30°. What is the fourth angle (in degrees)?
  15. 15.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 100°, 30° and 50°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 15°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  18. 18.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  19. 19.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  20. 20.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 60°, 100° and 70°. What is the fourth angle (in degrees)?
  22. 22.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 90° and 50°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 70° and 160°. What is the fourth angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 80°, 40° and 40°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 35°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  29. 29.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  30. 30.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  31. 31.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  32. 32.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 70° and 110°. What is the fourth angle (in degrees)?
  35. 35.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  36. 36.A straight angle (180°) is split into 10 equal angles. How big is each 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.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  39. 39.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  40. 40.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. 20
  2. South
  3. 60
  4. South
  5. 240
  6. East
  7. Acute
  8. 180
  9. East
  10. 120
  11. 85
  12. 120
  13. 50
  14. 200
  15. 45
  16. 180
  17. Acute
  18. Straight
  19. 300
  20. 90
  21. 130
  22. 30
  23. 90
  24. 40
  25. 45
  26. 100
  27. 200
  28. Acute
  29. 60
  30. Right
  31. North
  32. 30
  33. 90
  34. 90
  35. 20
  36. 18
  37. 60
  38. East
  39. 300
  40. 60

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