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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 607 · 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.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  2. 2.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 70°, 30° and 80°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  6. 6.Four angles meet at a point. Three of them are 60°, 30° and 230°. What is the fourth angle (in degrees)?
  7. 7.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 100°, 80° and 50°. What is the fourth angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 70°, 100° and 40°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  11. 11.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  13. 13.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  14. 14.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  16. 16.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  17. 17.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 30°, 80° and 130°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 90°, 40° and 160°. What is the fourth angle (in degrees)?
  21. 21.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  22. 22.Three angles together make a straight line. Two of them are 15° and 115°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  24. 24.Four angles meet at a point. Three of them are 100°, 30° and 220°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  26. 26.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  27. 27.Three angles together make a straight line. Two of them are 35° and 60°. What is the third angle (in degrees)?
  28. 28.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  29. 29.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 40° and 220°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  32. 32.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 60° and 95°. What is the third angle (in degrees)?
  38. 38.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  39. 39.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?

Answer key

  1. South
  2. 60
  3. 180
  4. 70
  5. 240
  6. 40
  7. 72
  8. 130
  9. 150
  10. 270
  11. 18
  12. 70
  13. North
  14. 30
  15. 60
  16. North
  17. 30
  18. 120
  19. 30
  20. 70
  21. North
  22. 50
  23. 120
  24. 10
  25. 140
  26. West
  27. 85
  28. North
  29. 36
  30. 70
  31. Acute
  32. 45
  33. 150
  34. 30
  35. 210
  36. 60
  37. 25
  38. Right
  39. 60
  40. 60

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