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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 711 · 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 80° and 75°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 50°, 90° and 110°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  4. 4.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  5. 5.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 70°, 30° and 30°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  11. 11.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 90°, 30° and 140°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 35° and 105°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 40°, 60° and 230°. What is the fourth angle (in degrees)?
  17. 17.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  18. 18.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  19. 19.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  20. 20.An angle measures 285°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  21. 21.An angle measures 75°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  22. 22.An angle measures 175°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  23. 23.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  24. 24.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  25. 25.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 60° and 30°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 65° and 100°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 60°, 90° and 80°. What is the fourth angle (in degrees)?
  36. 36.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  37. 37.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 25° and 90°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?

Answer key

  1. 25
  2. 110
  3. 60
  4. South
  5. 20
  6. 135
  7. 330
  8. 90
  9. 230
  10. 330
  11. 30
  12. 18
  13. 36
  14. 100
  15. 40
  16. 30
  17. East
  18. 150
  19. 120
  20. Reflex
  21. Acute
  22. Obtuse
  23. Right
  24. 180
  25. 30
  26. 30
  27. 270
  28. 60
  29. 85
  30. 240
  31. 150
  32. 90
  33. 300
  34. 15
  35. 130
  36. North
  37. 330
  38. 65
  39. 95
  40. 330

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