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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 678 · 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.

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  1. 1.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  2. 2.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  3. 3.An angle measures 325°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  4. 4.An angle measures 85°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  5. 5.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  6. 6.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  7. 7.Three angles together make a straight line. Two of them are 55° and 15°. What is the third angle (in degrees)?
  8. 8.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  11. 11.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  12. 12.An angle measures 305°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  13. 13.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  14. 14.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  15. 15.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  16. 16.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  17. 17.Four angles meet at a point. Three of them are 30°, 60° and 60°. What is the fourth angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 40° and 110°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  20. 20.Four angles meet at a point. Three of them are 100°, 90° and 30°. What is the fourth angle (in degrees)?
  21. 21.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  23. 23.An angle measures 130°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  24. 24.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  25. 25.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  28. 28.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  29. 29.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 30°, 30° and 280°. What is the fourth angle (in degrees)?
  32. 32.An angle measures 105°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  33. 33.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 70°, 70° and 170°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 90°, 40° and 130°. What is the fourth angle (in degrees)?
  36. 36.An angle measures 155°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  37. 37.Three angles together make a straight line. Two of them are 25° and 110°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  39. 39.Four angles meet at a point. Three of them are 70°, 80° and 130°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 60°, 100° and 160°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. 15
  3. Reflex
  4. Acute
  5. West
  6. Straight
  7. 110
  8. 90
  9. 300
  10. 150
  11. South
  12. Reflex
  13. East
  14. East
  15. 240
  16. South
  17. 210
  18. 30
  19. 180
  20. 140
  21. 60
  22. 30
  23. Obtuse
  24. West
  25. 30
  26. 90
  27. 120
  28. Right
  29. 30
  30. 120
  31. 20
  32. Obtuse
  33. 40
  34. 50
  35. 100
  36. Obtuse
  37. 45
  38. 240
  39. 80
  40. 40

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