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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 930 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  3. 3.Four angles meet at a point. Three of them are 70°, 90° and 50°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 40° and 50°. What is the fourth angle (in degrees)?
  5. 5.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 100°, 50° and 170°. What is the fourth angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 70°, 40° and 180°. What is the fourth angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  12. 12.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  13. 13.Three angles together make a straight line. Two of them are 50° and 75°. What is the third angle (in degrees)?
  14. 14.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 210°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  16. 16.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 70° and 160°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  19. 19.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  20. 20.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  22. 22.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  23. 23.An angle measures 240°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  24. 24.Three angles together make a straight line. Two of them are 40° and 40°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 100°, 30° and 190°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 310°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  28. 28.Three angles together make a straight line. Two of them are 70° and 75°. What is the third angle (in degrees)?
  29. 29.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  30. 30.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 70°, 100° and 150°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  34. 34.An angle measures 15°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  35. 35.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  36. 36.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 50°, 80° and 200°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 70°, 60° and 110°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 50° and 70°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?

Answer key

  1. 120
  2. 210
  3. 150
  4. 180
  5. 45
  6. 180
  7. 180
  8. 30
  9. 40
  10. 70
  11. 50
  12. North
  13. 55
  14. 36
  15. Reflex
  16. 65
  17. 40
  18. 30
  19. 180
  20. 60
  21. 90
  22. North
  23. Reflex
  24. 100
  25. 72
  26. 40
  27. Reflex
  28. 35
  29. East
  30. 300
  31. 270
  32. 40
  33. 90
  34. Acute
  35. East
  36. 36
  37. 30
  38. 120
  39. 60
  40. 90

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