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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 613 · 40 sums
TalentJR

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.Four angles meet at a point. Three of them are 60°, 50° and 90°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  3. 3.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  4. 4.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  5. 5.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  6. 6.Four angles meet at a point. Three of them are 100°, 80° and 60°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  8. 8.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  11. 11.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 60°, 80° and 170°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  14. 14.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  15. 15.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  16. 16.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  17. 17.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  19. 19.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  20. 20.Three angles together make a straight line. Two of them are 95° and 65°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 60°, 40° and 50°. What is the fourth angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 30°, 80° and 80°. What is the fourth angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 90° and 70°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  26. 26.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  27. 27.Four angles meet at a point. Three of them are 100°, 50° and 100°. What is the fourth angle (in degrees)?
  28. 28.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  29. 29.An angle measures 345°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  30. 30.An angle measures 160°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  31. 31.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  32. 32.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  33. 33.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  34. 34.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  36. 36.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  37. 37.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  38. 38.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  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 7 to 11. How many degrees does it turn?

Answer key

  1. 160
  2. 45
  3. South
  4. West
  5. 210
  6. 120
  7. Right
  8. 72
  9. 45
  10. 240
  11. 45
  12. 50
  13. 45
  14. West
  15. 90
  16. East
  17. 90
  18. 125
  19. North
  20. 20
  21. 105
  22. 210
  23. 170
  24. 100
  25. 240
  26. West
  27. 110
  28. North
  29. Reflex
  30. Obtuse
  31. 90
  32. 60
  33. South
  34. 65
  35. 36
  36. West
  37. 18
  38. South
  39. 20
  40. 120

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