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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 79 · 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 12 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 20° and 130°. What is the third angle (in degrees)?
  3. 3.A straight angle (180°) is split into 5 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) East (b) South (c) North (d) West
  5. 5.Three angles together make a straight line. Two of them are 45° and 80°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  7. 7.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  8. 8.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  9. 9.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  10. 10.An angle measures 10°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  11. 11.An angle measures 195°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  12. 12.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 100°, 100° and 80°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 45° and 85°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  16. 16.An angle measures 205°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  17. 17.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  18. 18.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  19. 19.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  20. 20.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  21. 21.An angle measures 60°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  22. 22.Four angles meet at a point. Three of them are 40°, 60° and 160°. What is the fourth angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 60°, 30° and 130°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  25. 25.Four angles meet at a point. Three of them are 40°, 50° and 130°. What is the fourth angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 80° and 130°. What is the fourth angle (in degrees)?
  27. 27.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  28. 28.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  29. 29.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  30. 30.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  31. 31.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  32. 32.An angle measures 70°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  33. 33.Four angles meet at a point. Three of them are 40°, 50° and 180°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  36. 36.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  37. 37.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 40°, 50° and 40°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 100° and 150°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?

Answer key

  1. 30
  2. 30
  3. 36
  4. South
  5. 55
  6. 45
  7. East
  8. 60
  9. Straight
  10. Acute
  11. Reflex
  12. 20
  13. 80
  14. 50
  15. 120
  16. Reflex
  17. 210
  18. West
  19. West
  20. 330
  21. Acute
  22. 100
  23. 140
  24. Obtuse
  25. 140
  26. 120
  27. 60
  28. North
  29. 120
  30. West
  31. 65
  32. Acute
  33. 90
  34. 85
  35. 120
  36. Right
  37. 60
  38. 230
  39. 60
  40. 270

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