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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 147 · 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.

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  1. 1.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  2. 2.An angle measures 50°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  3. 3.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  5. 5.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  7. 7.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  8. 8.Four angles meet at a point. Three of them are 40°, 70° and 150°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 60°, 100° and 120°. What is the fourth angle (in degrees)?
  11. 11.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  12. 12.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  13. 13.Four angles meet at a point. Three of them are 60°, 60° and 170°. What is the fourth angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  15. 15.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  17. 17.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  18. 18.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 15° and 40°. What is the third angle (in degrees)?
  20. 20.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  21. 21.Three angles together make a straight line. Two of them are 15° and 65°. What is the third angle (in degrees)?
  22. 22.An angle measures 45°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  23. 23.Four angles meet at a point. Three of them are 50°, 80° and 120°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 30° and 130°. What is the third angle (in degrees)?
  25. 25.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  26. 26.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 80°, 70° and 180°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 25° and 145°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 100°, 80° and 150°. What is the fourth angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 70°, 60° and 30°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 60°, 30° and 110°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  35. 35.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  36. 36.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  37. 37.An angle measures 310°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  38. 38.Three angles together make a straight line. Two of them are 40° and 10°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 45° and 125°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 90° and 80°. What is the fourth angle (in degrees)?

Answer key

  1. West
  2. Acute
  3. 115
  4. 270
  5. 60
  6. 60
  7. North
  8. 100
  9. 90
  10. 80
  11. Acute
  12. Obtuse
  13. 70
  14. 120
  15. 85
  16. 300
  17. 30
  18. 72
  19. 125
  20. Straight
  21. 100
  22. Acute
  23. 110
  24. 20
  25. South
  26. 60
  27. 300
  28. 30
  29. 10
  30. 180
  31. 30
  32. 200
  33. 160
  34. 270
  35. South
  36. 60
  37. Reflex
  38. 130
  39. 10
  40. 100

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