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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 834 · 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.

NameDateTime takenScore ___ / 40
  1. 1.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  2. 2.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  3. 3.Four angles meet at a point. Three of them are 50°, 70° and 30°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 60° and 105°. What is the third angle (in degrees)?
  5. 5.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 15° and 85°. What is the third angle (in degrees)?
  7. 7.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 45°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  9. 9.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  10. 10.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 60°, 60° and 210°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 40° and 55°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 90°, 30° and 110°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  16. 16.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  18. 18.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  20. 20.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  21. 21.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 90°, 40° and 220°. What is the fourth angle (in degrees)?
  23. 23.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  24. 24.Four angles meet at a point. Three of them are 40°, 30° and 140°. What is the fourth angle (in degrees)?
  25. 25.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  26. 26.Three angles together make a straight line. Two of them are 25° and 90°. What is the third angle (in degrees)?
  27. 27.An angle measures 140°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  28. 28.Three angles together make a straight line. Two of them are 25° and 25°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  31. 31.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  32. 32.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 40°, 100° and 40°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 35° and 105°. What is the third angle (in degrees)?
  35. 35.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  36. 36.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 15° and 30°. What is the third angle (in degrees)?
  39. 39.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  40. 40.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West

Answer key

  1. South
  2. 300
  3. 210
  4. 15
  5. 45
  6. 80
  7. 18
  8. Acute
  9. Right
  10. 25
  11. 30
  12. 30
  13. 85
  14. 130
  15. Straight
  16. 36
  17. 120
  18. 60
  19. South
  20. Acute
  21. 90
  22. 10
  23. West
  24. 150
  25. South
  26. 65
  27. Obtuse
  28. 130
  29. 20
  30. 120
  31. 40
  32. 90
  33. 180
  34. 40
  35. North
  36. 60
  37. 100
  38. 135
  39. East
  40. North

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