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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 512 · 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 South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  2. 2.Three angles together make a straight line. Two of them are 70° and 40°. What is the third angle (in degrees)?
  3. 3.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  4. 4.Three angles together make a straight line. Two of them are 35° and 90°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 60°, 40° and 120°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 60° and 45°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 15° and 10°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 25° and 55°. What is the third angle (in degrees)?
  13. 13.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  14. 14.Three angles together make a straight line. Two of them are 25° and 125°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 40°, 80° and 90°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  18. 18.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  21. 21.An angle measures 330°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  22. 22.An angle measures 100°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  23. 23.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  24. 24.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  25. 25.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?
  26. 26.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  27. 27.Three angles together make a straight line. Two of them are 10° and 120°. What is the third angle (in degrees)?
  28. 28.An angle measures 60°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  29. 29.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  30. 30.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  31. 31.Four angles meet at a point. Three of them are 100°, 70° and 40°. What is the fourth angle (in degrees)?
  32. 32.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  33. 33.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  34. 34.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  35. 35.An angle measures 95°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  36. 36.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  37. 37.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 30° and 135°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 40°, 90° and 40°. What is the fourth angle (in degrees)?
  40. 40.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?

Answer key

  1. East
  2. 70
  3. Obtuse
  4. 55
  5. 105
  6. 140
  7. 75
  8. 210
  9. 300
  10. 155
  11. 240
  12. 100
  13. West
  14. 30
  15. 75
  16. 150
  17. Straight
  18. 150
  19. 45
  20. 85
  21. Reflex
  22. Obtuse
  23. 90
  24. Right
  25. 145
  26. Obtuse
  27. 50
  28. Acute
  29. 45
  30. East
  31. 150
  32. Obtuse
  33. South
  34. 60
  35. Obtuse
  36. 90
  37. 18
  38. 15
  39. 190
  40. 45

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