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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 458 · 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 North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  2. 2.Four angles meet at a point. Three of them are 40°, 40° and 90°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  4. 4.Four angles meet at a point. Three of them are 50°, 60° and 60°. What is the fourth angle (in degrees)?
  5. 5.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 100°, 90° and 50°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  8. 8.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  9. 9.Three angles together make a straight line. Two of them are 20° and 35°. What is the third angle (in degrees)?
  10. 10.An angle measures 95°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  11. 11.Three angles together make a straight line. Two of them are 50° and 115°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  13. 13.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  14. 14.An angle measures 155°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  15. 15.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  16. 16.An angle measures 290°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  17. 17.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 90°, 50° and 30°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 90°, 70° and 80°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 20° and 120°. What is the third angle (in degrees)?
  22. 22.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  24. 24.An angle measures 40°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  25. 25.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  26. 26.An angle measures 65°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  27. 27.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  29. 29.Four angles meet at a point. Three of them are 80°, 100° and 150°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 70° and 160°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 55° and 60°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 55° and 15°. What is the third angle (in degrees)?
  33. 33.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  34. 34.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  36. 36.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  37. 37.Three angles together make a straight line. Two of them are 25° and 10°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 40° and 125°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?

Answer key

  1. East
  2. 190
  3. 120
  4. 190
  5. 90
  6. 120
  7. 55
  8. North
  9. 125
  10. Obtuse
  11. 15
  12. 60
  13. West
  14. Obtuse
  15. 15
  16. Reflex
  17. 90
  18. 190
  19. 190
  20. 120
  21. 40
  22. 60
  23. 30
  24. Acute
  25. Right
  26. Acute
  27. 30
  28. South
  29. 30
  30. 90
  31. 65
  32. 110
  33. Straight
  34. 20
  35. 10
  36. West
  37. 145
  38. 15
  39. 30
  40. 240

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