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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 886 · 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 30°, 90° and 70°. What is the fourth angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  3. 3.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  4. 4.An angle measures 155°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  5. 5.Four angles meet at a point. Three of them are 100°, 80° and 50°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  7. 7.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
  9. 9.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  10. 10.Three angles together make a straight line. Two of them are 70° and 65°. What is the third angle (in degrees)?
  11. 11.An angle measures 55°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  12. 12.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  14. 14.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  15. 15.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  16. 16.An angle measures 20°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  17. 17.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  18. 18.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  19. 19.Three angles together make a straight line. Two of them are 70° and 40°. What is the third angle (in degrees)?
  20. 20.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  21. 21.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 40°, 60° and 230°. What is the fourth angle (in degrees)?
  23. 23.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  24. 24.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  25. 25.An angle measures 165°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  26. 26.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 30°, 60° and 100°. What is the fourth angle (in degrees)?
  28. 28.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  29. 29.Four angles meet at a point. Three of them are 50°, 70° and 220°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 50°, 30° and 50°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 30°, 90° and 90°. What is the fourth angle (in degrees)?
  36. 36.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  40. 40.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East

Answer key

  1. 170
  2. 60
  3. 30
  4. Obtuse
  5. 130
  6. Right
  7. 120
  8. 55
  9. South
  10. 45
  11. Acute
  12. 70
  13. 90
  14. South
  15. 30
  16. Acute
  17. East
  18. West
  19. 70
  20. East
  21. 60
  22. 30
  23. 30
  24. North
  25. Obtuse
  26. 90
  27. 170
  28. South
  29. 20
  30. 230
  31. 150
  32. 90
  33. 180
  34. 135
  35. 150
  36. 45
  37. 55
  38. 210
  39. 30
  40. South

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