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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 188 · 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 East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  2. 2.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  3. 3.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  4. 4.An angle measures 130°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  5. 5.Three angles together make a straight line. Two of them are 50° and 90°. What is the third angle (in degrees)?
  6. 6.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  7. 7.An angle measures 95°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  8. 8.An angle measures 135°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  9. 9.Four angles meet at a point. Three of them are 30°, 30° and 120°. What is the fourth angle (in degrees)?
  10. 10.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  11. 11.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  13. 13.Four angles meet at a point. Three of them are 50°, 90° and 170°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 30°, 90° and 180°. What is the fourth angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  16. 16.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 15°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  18. 18.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  20. 20.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 70°, 70° and 70°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 20° and 110°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 100° and 70°. What is the third angle (in degrees)?
  26. 26.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  27. 27.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  29. 29.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  30. 30.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  31. 31.Three angles together make a straight line. Two of them are 35° and 105°. What is the third angle (in degrees)?
  32. 32.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  33. 33.Three angles together make a straight line. Two of them are 25° and 30°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 20° and 145°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 70°, 70° and 170°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 30°, 50° and 100°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  39. 39.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?

Answer key

  1. North
  2. 270
  3. West
  4. Obtuse
  5. 40
  6. North
  7. Obtuse
  8. Obtuse
  9. 180
  10. East
  11. 30
  12. 90
  13. 50
  14. 60
  15. 330
  16. 45
  17. Acute
  18. 120
  19. North
  20. 60
  21. 150
  22. 75
  23. 50
  24. 40
  25. 10
  26. East
  27. 40
  28. Straight
  29. South
  30. West
  31. 40
  32. West
  33. 125
  34. 15
  35. 50
  36. 180
  37. 120
  38. 300
  39. 20
  40. 120

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