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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 346 · 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.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  3. 3.Three angles together make a straight line. Two of them are 90° and 50°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 100° and 40°. What is the fourth angle (in degrees)?
  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.Four angles meet at a point. Three of them are 80°, 90° and 140°. What is the fourth angle (in degrees)?
  7. 7.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  8. 8.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  9. 9.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 155°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  11. 11.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 80° and 35°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  16. 16.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  17. 17.Four angles meet at a point. Three of them are 60°, 80° and 160°. What is the fourth angle (in degrees)?
  18. 18.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 30°, 80° and 240°. What is the fourth angle (in degrees)?
  20. 20.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  21. 21.Three angles together make a straight line. Two of them are 65° and 45°. What is the third angle (in degrees)?
  22. 22.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  23. 23.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  25. 25.An angle measures 265°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  26. 26.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 65° and 40°. What is the third angle (in degrees)?
  29. 29.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  30. 30.Three angles together make a straight line. Two of them are 60° and 25°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 30°, 40° and 80°. What is the fourth angle (in degrees)?
  32. 32.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  33. 33.An angle measures 95°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  34. 34.An angle measures 40°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  35. 35.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  37. 37.An angle measures 335°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  38. 38.An angle measures 100°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  39. 39.Four angles meet at a point. Three of them are 50°, 70° and 40°. What is the fourth angle (in degrees)?
  40. 40.An angle measures 15°. What kind of angle is it? (a) Acute (b) Reflex (c) Right

Answer key

  1. 30
  2. West
  3. 40
  4. 190
  5. 110
  6. 50
  7. East
  8. North
  9. 60
  10. Obtuse
  11. 90
  12. 50
  13. 65
  14. 90
  15. Right
  16. South
  17. 60
  18. 60
  19. 10
  20. East
  21. 70
  22. South
  23. 330
  24. 65
  25. Reflex
  26. 45
  27. 120
  28. 75
  29. Straight
  30. 95
  31. 210
  32. West
  33. Obtuse
  34. Acute
  35. 90
  36. 30
  37. Reflex
  38. Obtuse
  39. 200
  40. Acute

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