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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 504 · 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 South and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  2. 2.Four angles meet at a point. Three of them are 30°, 80° and 230°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  4. 4.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 45° and 115°. What is the third angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  7. 7.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  8. 8.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  9. 9.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  10. 10.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  11. 11.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 20° and 60°. What is the third angle (in degrees)?
  14. 14.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  15. 15.Four angles meet at a point. Three of them are 80°, 40° and 200°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  17. 17.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 55° and 55°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  20. 20.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  22. 22.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  23. 23.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  24. 24.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  25. 25.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  26. 26.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  27. 27.Three angles together make a straight line. Two of them are 10° and 85°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 100° and 50°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 40° and 40°. What is the third angle (in degrees)?
  30. 30.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  32. 32.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 65° and 40°. What is the third angle (in degrees)?
  34. 34.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  35. 35.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  36. 36.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 30°, 50° and 80°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 15° and 145°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 40° and 45°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 100°, 50° and 60°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. 20
  3. Straight
  4. 40
  5. 20
  6. Right
  7. 105
  8. East
  9. 10
  10. West
  11. 90
  12. 35
  13. 100
  14. North
  15. 40
  16. 120
  17. 18
  18. 70
  19. 60
  20. 45
  21. 75
  22. East
  23. East
  24. 95
  25. West
  26. South
  27. 85
  28. 120
  29. 100
  30. 30
  31. 60
  32. 36
  33. 75
  34. East
  35. 115
  36. 72
  37. 200
  38. 20
  39. 95
  40. 150

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