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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 995 · 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.Three angles together make a straight line. Two of them are 50° and 20°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 25° and 115°. What is the third angle (in degrees)?
  3. 3.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  4. 4.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  5. 5.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 100°, 40° and 160°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  8. 8.Four angles meet at a point. Three of them are 60°, 30° and 190°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  10. 10.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  11. 11.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 40° and 65°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 65° and 45°. What is the third angle (in degrees)?
  15. 15.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  16. 16.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  17. 17.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 70°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  19. 19.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  20. 20.Four angles meet at a point. Three of them are 70°, 90° and 40°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 70° and 100°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 40°, 90° and 110°. What is the fourth angle (in degrees)?
  27. 27.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  28. 28.An angle measures 180°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  29. 29.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 100°, 40° and 30°. What is the fourth angle (in degrees)?
  31. 31.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  33. 33.An angle measures 30°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  34. 34.Three angles together make a straight line. Two of them are 45° and 55°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  37. 37.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  38. 38.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?

Answer key

  1. 110
  2. 40
  3. 18
  4. North
  5. 25
  6. 60
  7. Right
  8. 80
  9. 30
  10. East
  11. 300
  12. 75
  13. 330
  14. 70
  15. East
  16. 150
  17. 45
  18. Acute
  19. South
  20. 160
  21. 55
  22. 115
  23. 240
  24. 10
  25. 55
  26. 120
  27. West
  28. Straight
  29. 60
  30. 190
  31. 36
  32. 270
  33. Acute
  34. 80
  35. 95
  36. 270
  37. South
  38. 60
  39. 45
  40. 270

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