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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 765 · 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 clockwise through 180°. 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 25° and 50°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 65° and 50°. What is the third angle (in degrees)?
  4. 4.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  5. 5.An angle measures 290°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  6. 6.Four angles meet at a point. Three of them are 50°, 30° and 40°. What is the fourth angle (in degrees)?
  7. 7.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  8. 8.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  9. 9.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  11. 11.Three angles together make a straight line. Two of them are 55° and 60°. What is the third angle (in degrees)?
  12. 12.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  14. 14.An angle measures 170°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  15. 15.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  16. 16.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  18. 18.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  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 180°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  22. 22.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  23. 23.An angle measures 65°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  24. 24.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  25. 25.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  26. 26.Four angles meet at a point. Three of them are 70°, 50° and 220°. What is the fourth angle (in degrees)?
  27. 27.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 15° and 35°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  30. 30.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  31. 31.An angle measures 145°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  32. 32.Four angles meet at a point. Three of them are 90°, 50° and 170°. What is the fourth angle (in degrees)?
  33. 33.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  35. 35.An angle measures 190°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  36. 36.An angle measures 85°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  37. 37.Three angles together make a straight line. Two of them are 15° and 70°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 20° and 120°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  40. 40.An angle measures 5°. What kind of angle is it? (a) Reflex (b) Right (c) Acute

Answer key

  1. East
  2. 105
  3. 65
  4. West
  5. Reflex
  6. 240
  7. West
  8. South
  9. 90
  10. 210
  11. 65
  12. 15
  13. Right
  14. Obtuse
  15. North
  16. 330
  17. 90
  18. 60
  19. 30
  20. 120
  21. Straight
  22. 10
  23. Acute
  24. West
  25. North
  26. 20
  27. 90
  28. 130
  29. 45
  30. West
  31. Obtuse
  32. 50
  33. 18
  34. 85
  35. Reflex
  36. Acute
  37. 95
  38. 40
  39. 120
  40. Acute

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