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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 746 · 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.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 40°, 80° and 120°. What is the fourth angle (in degrees)?
  3. 3.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  5. 5.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  6. 6.An angle measures 80°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  7. 7.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  8. 8.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  9. 9.Four angles meet at a point. Three of them are 90°, 80° and 160°. What is the fourth angle (in degrees)?
  10. 10.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 50°, 70° and 40°. What is the fourth angle (in degrees)?
  12. 12.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  13. 13.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  16. 16.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  17. 17.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  20. 20.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  21. 21.Four angles meet at a point. Three of them are 60°, 30° and 70°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 45° and 100°. What is the third angle (in degrees)?
  23. 23.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  24. 24.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  25. 25.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  26. 26.An angle measures 65°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  27. 27.Four angles meet at a point. Three of them are 100°, 60° and 180°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  30. 30.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  31. 31.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  32. 32.An angle measures 160°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  33. 33.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  36. 36.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 90° and 40°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  39. 39.Three angles together make a straight line. Two of them are 10° and 110°. What is the third angle (in degrees)?
  40. 40.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?

Answer key

  1. 45
  2. 120
  3. 30
  4. East
  5. Obtuse
  6. Acute
  7. Straight
  8. South
  9. 30
  10. 15
  11. 200
  12. West
  13. 150
  14. 210
  15. 240
  16. 30
  17. 60
  18. 240
  19. 40
  20. West
  21. 200
  22. 35
  23. East
  24. West
  25. South
  26. Acute
  27. 20
  28. 300
  29. 30
  30. Right
  31. 330
  32. Obtuse
  33. 40
  34. 90
  35. 90
  36. 36
  37. 160
  38. 240
  39. 60
  40. 36

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