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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 68 · 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.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  2. 2.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  3. 3.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  4. 4.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  5. 5.Three angles together make a straight line. Two of them are 95° and 30°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  7. 7.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  8. 8.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  9. 9.Three angles together make a straight line. Two of them are 95° and 25°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 80° and 20°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 75° and 85°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  17. 17.Four angles meet at a point. Three of them are 100°, 80° and 90°. What is the fourth angle (in degrees)?
  18. 18.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 70°, 40° and 30°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  21. 21.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  22. 22.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  23. 23.An angle measures 290°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  24. 24.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  25. 25.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 10° and 140°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 70°, 60° and 160°. What is the fourth angle (in degrees)?
  28. 28.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  29. 29.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 60° and 40°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 90°, 50° and 130°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 70°, 40° and 160°. What is the fourth angle (in degrees)?
  35. 35.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  37. 37.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  38. 38.Three angles together make a straight line. Two of them are 85° and 10°. What is the third angle (in degrees)?
  39. 39.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?

Answer key

  1. Straight
  2. 300
  3. South
  4. West
  5. 55
  6. 30
  7. 65
  8. West
  9. 60
  10. 85
  11. 90
  12. 80
  13. 70
  14. 20
  15. 120
  16. 120
  17. 90
  18. 90
  19. 220
  20. 20
  21. South
  22. North
  23. Reflex
  24. 180
  25. 30
  26. 30
  27. 70
  28. 72
  29. 36
  30. 230
  31. 90
  32. 270
  33. 300
  34. 90
  35. 90
  36. 150
  37. East
  38. 85
  39. 45
  40. 210

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