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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 174 · 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) North (b) West (c) East (d) South
  2. 2.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 95° and 20°. What is the third angle (in degrees)?
  4. 4.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  5. 5.Three angles together make a straight line. Two of them are 45° and 25°. What is the third angle (in degrees)?
  6. 6.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  8. 8.An angle measures 5°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  9. 9.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  10. 10.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 30° and 115°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 60°, 90° and 100°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 10 to 2. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 70°, 40° and 220°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 70°, 70° and 50°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 60°, 80° and 120°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 45° and 15°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 55° and 45°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  25. 25.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  26. 26.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  27. 27.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  28. 28.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  29. 29.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 50°, 40° and 80°. What is the fourth angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  33. 33.Three angles together make a straight line. Two of them are 100° and 40°. What is the third angle (in degrees)?
  34. 34.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  35. 35.An angle measures 270°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  36. 36.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  37. 37.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 70° and 90°. What is the third angle (in degrees)?
  39. 39.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  40. 40.Four angles meet at a point. Three of them are 100°, 30° and 100°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. 300
  3. 65
  4. Right
  5. 110
  6. 15
  7. 60
  8. Acute
  9. East
  10. 130
  11. 90
  12. 35
  13. 110
  14. 65
  15. 60
  16. 120
  17. 90
  18. 30
  19. 170
  20. 100
  21. 120
  22. 240
  23. 80
  24. 15
  25. South
  26. Acute
  27. 70
  28. 45
  29. 90
  30. 210
  31. 190
  32. North
  33. 40
  34. 18
  35. Reflex
  36. 30
  37. 90
  38. 20
  39. South
  40. 130

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