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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 419 · 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 West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  2. 2.Four angles meet at a point. Three of them are 50°, 50° and 240°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 30°, 70° and 210°. What is the fourth angle (in degrees)?
  4. 4.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  5. 5.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  6. 6.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  7. 7.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  8. 8.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  10. 10.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  11. 11.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 50°, 50° and 210°. What is the fourth angle (in degrees)?
  13. 13.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  14. 14.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 90°, 70° and 120°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 40°, 80° and 30°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 15° and 65°. What is the third angle (in degrees)?
  19. 19.An angle measures 10°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  20. 20.Three angles together make a straight line. Two of them are 30° and 125°. What is the third angle (in degrees)?
  21. 21.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  22. 22.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  24. 24.An angle measures 275°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  25. 25.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 80°, 70° and 50°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  29. 29.Four angles meet at a point. Three of them are 70°, 30° and 190°. What is the fourth angle (in degrees)?
  30. 30.An angle measures 130°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  31. 31.Four angles meet at a point. Three of them are 60°, 100° and 40°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  33. 33.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  34. 34.An angle measures 290°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  35. 35.An angle measures 345°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  36. 36.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  39. 39.An angle measures 150°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  40. 40.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South

Answer key

  1. North
  2. 20
  3. 50
  4. West
  5. Straight
  6. 30
  7. North
  8. 45
  9. 330
  10. South
  11. 20
  12. 50
  13. South
  14. 90
  15. 80
  16. 210
  17. 75
  18. 100
  19. Acute
  20. 25
  21. East
  22. 90
  23. 300
  24. Reflex
  25. 35
  26. 160
  27. 300
  28. 30
  29. 70
  30. Obtuse
  31. 160
  32. 18
  33. West
  34. Reflex
  35. Reflex
  36. 40
  37. 20
  38. 90
  39. Obtuse
  40. North

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