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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 40 · 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.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  2. 2.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 80°, 90° and 30°. What is the fourth angle (in degrees)?
  5. 5.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  6. 6.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  7. 7.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 45° and 50°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  12. 12.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  13. 13.An angle measures 275°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  14. 14.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  16. 16.Three angles together make a straight line. Two of them are 30° and 105°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  18. 18.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 100°, 50° and 140°. What is the fourth angle (in degrees)?
  20. 20.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  24. 24.Four angles meet at a point. Three of them are 80°, 30° and 70°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 15° and 35°. What is the third angle (in degrees)?
  26. 26.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  27. 27.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  28. 28.Four angles meet at a point. Three of them are 60°, 30° and 110°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 60°, 40° and 40°. What is the fourth angle (in degrees)?
  30. 30.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  31. 31.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 30°, 100° and 100°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  34. 34.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 85° and 55°. What is the third angle (in degrees)?
  36. 36.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  37. 37.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  38. 38.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  39. 39.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  40. 40.Three angles together make a straight line. Two of them are 30° and 60°. What is the third angle (in degrees)?

Answer key

  1. 300
  2. 270
  3. 35
  4. 160
  5. South
  6. 180
  7. 120
  8. 240
  9. 85
  10. 36
  11. 120
  12. East
  13. Reflex
  14. 180
  15. Right
  16. 45
  17. 55
  18. 30
  19. 70
  20. 90
  21. 210
  22. 210
  23. 330
  24. 180
  25. 130
  26. East
  27. Acute
  28. 160
  29. 220
  30. 90
  31. 20
  32. 130
  33. 35
  34. 45
  35. 40
  36. East
  37. West
  38. Straight
  39. West
  40. 90

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