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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 450 · 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 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  2. 2.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  3. 3.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  4. 4.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  5. 5.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  9. 9.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  10. 10.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  11. 11.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  12. 12.Four angles meet at a point. Three of them are 60°, 60° and 190°. What is the fourth angle (in degrees)?
  13. 13.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 60°, 100° and 100°. What is the fourth angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 55° and 100°. What is the third angle (in degrees)?
  17. 17.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  18. 18.Three angles together make a straight line. Two of them are 60° and 45°. What is the third angle (in degrees)?
  19. 19.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  20. 20.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  21. 21.An angle measures 115°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  22. 22.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  23. 23.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  24. 24.Four angles meet at a point. Three of them are 100°, 30° and 200°. What is the fourth angle (in degrees)?
  25. 25.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  26. 26.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  27. 27.Three angles together make a straight line. Two of them are 65° and 65°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  29. 29.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  30. 30.An angle measures 105°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  31. 31.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  32. 32.Three angles together make a straight line. Two of them are 95° and 60°. What is the third angle (in degrees)?
  33. 33.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  35. 35.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  38. 38.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  39. 39.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  40. 40.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South

Answer key

  1. East
  2. 10
  3. Right
  4. North
  5. 90
  6. 36
  7. 270
  8. 180
  9. South
  10. 90
  11. South
  12. 50
  13. 72
  14. 100
  15. 30
  16. 25
  17. South
  18. 75
  19. West
  20. 120
  21. Obtuse
  22. 180
  23. North
  24. 30
  25. North
  26. Straight
  27. 50
  28. 105
  29. South
  30. Obtuse
  31. West
  32. 25
  33. 15
  34. 270
  35. 30
  36. 150
  37. 70
  38. Obtuse
  39. 150
  40. South

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