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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 35 · 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.Four angles meet at a point. Three of them are 30°, 90° and 140°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 60° and 20°. What is the third angle (in degrees)?
  3. 3.An angle measures 350°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  4. 4.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  5. 5.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  7. 7.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  8. 8.An angle measures 275°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  9. 9.An angle measures 290°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  10. 10.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 80°, 100° and 140°. What is the fourth angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  13. 13.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  14. 14.Three angles together make a straight line. Two of them are 90° and 80°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 20° and 125°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  18. 18.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  19. 19.An angle measures 10°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  20. 20.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  21. 21.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 20° and 80°. What is the third angle (in degrees)?
  23. 23.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  24. 24.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  25. 25.Four angles meet at a point. Three of them are 50°, 60° and 210°. What is the fourth angle (in degrees)?
  26. 26.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  27. 27.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  28. 28.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 30°, 90° and 50°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  31. 31.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  32. 32.An angle measures 230°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  33. 33.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  34. 34.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 35° and 80°. What is the third angle (in degrees)?
  36. 36.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  37. 37.Four angles meet at a point. Three of them are 60°, 60° and 60°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 85° and 80°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?

Answer key

  1. 100
  2. 100
  3. Reflex
  4. East
  5. 180
  6. 330
  7. South
  8. Reflex
  9. Reflex
  10. 20
  11. 40
  12. 270
  13. South
  14. 10
  15. 35
  16. 240
  17. Right
  18. 270
  19. Acute
  20. West
  21. 45
  22. 80
  23. North
  24. North
  25. 40
  26. West
  27. West
  28. 60
  29. 190
  30. 120
  31. 120
  32. Reflex
  33. North
  34. 150
  35. 65
  36. Straight
  37. 180
  38. 15
  39. 85
  40. 330

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