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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 436 · 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 60°, 90° and 170°. What is the fourth angle (in degrees)?
  2. 2.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  3. 3.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  4. 4.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  5. 5.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  6. 6.Three angles together make a straight line. Two of them are 15° and 70°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 30° and 110°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 70°, 40° and 170°. What is the fourth angle (in degrees)?
  9. 9.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  10. 10.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  11. 11.Three angles together make a straight line. Two of them are 70° and 65°. What is the third angle (in degrees)?
  12. 12.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  13. 13.Three angles together make a straight line. Two of them are 55° and 55°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 30°, 90° and 120°. What is the fourth angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 50° and 210°. What is the fourth angle (in degrees)?
  18. 18.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  20. 20.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  21. 21.An angle measures 25°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  22. 22.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  23. 23.An angle measures 245°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  24. 24.Three angles together make a straight line. Two of them are 20° and 90°. 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.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  27. 27.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  29. 29.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 35° and 55°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  33. 33.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  34. 34.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 80°, 60° and 40°. What is the fourth angle (in degrees)?
  36. 36.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  37. 37.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  38. 38.Four angles meet at a point. Three of them are 30°, 100° and 150°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 90°, 30° and 210°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?

Answer key

  1. 40
  2. East
  3. Right
  4. 330
  5. North
  6. 95
  7. 40
  8. 80
  9. West
  10. South
  11. 45
  12. Straight
  13. 70
  14. 125
  15. 90
  16. 120
  17. 10
  18. 60
  19. West
  20. 60
  21. Acute
  22. 210
  23. Reflex
  24. 70
  25. 72
  26. West
  27. 30
  28. North
  29. 100
  30. 90
  31. 30
  32. 150
  33. West
  34. 45
  35. 180
  36. East
  37. South
  38. 80
  39. 30
  40. 180

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