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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 804 · 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) West (b) North (c) East (d) South
  2. 2.Three angles together make a straight line. Two of them are 70° and 10°. 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.An angle measures 285°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  5. 5.An angle measures 95°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  6. 6.Four angles meet at a point. Three of them are 70°, 100° and 60°. What is the fourth angle (in degrees)?
  7. 7.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 70°, 40° and 140°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  11. 11.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  12. 12.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  13. 13.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  15. 15.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  16. 16.Three angles together make a straight line. Two of them are 35° and 55°. What is the third angle (in degrees)?
  17. 17.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  18. 18.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  19. 19.Four angles meet at a point. Three of them are 40°, 50° and 150°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 95° and 60°. What is the third angle (in degrees)?
  21. 21.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  22. 22.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 100°, 80° and 80°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  25. 25.An angle measures 220°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  26. 26.An angle measures 305°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  27. 27.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  28. 28.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  29. 29.An angle measures 175°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  30. 30.Four angles meet at a point. Three of them are 100°, 90° and 50°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  33. 33.An angle measures 185°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  34. 34.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  36. 36.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  37. 37.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  38. 38.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 15° and 95°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 10° and 100°. What is the third angle (in degrees)?

Answer key

  1. East
  2. 100
  3. 18
  4. Reflex
  5. Obtuse
  6. 130
  7. 45
  8. 90
  9. 110
  10. Straight
  11. West
  12. South
  13. 150
  14. 60
  15. East
  16. 90
  17. East
  18. Right
  19. 120
  20. 25
  21. West
  22. 270
  23. 100
  24. 240
  25. Reflex
  26. Reflex
  27. 210
  28. 40
  29. Obtuse
  30. 120
  31. 140
  32. West
  33. Reflex
  34. 60
  35. 150
  36. North
  37. 72
  38. 90
  39. 70
  40. 70

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