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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 727 · 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.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?
  2. 2.An angle measures 180°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  3. 3.Three angles together make a straight line. Two of them are 15° and 35°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 30° and 20°. What is the third angle (in degrees)?
  5. 5.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  6. 6.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  7. 7.Three angles together make a straight line. Two of them are 30° and 40°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  9. 9.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  10. 10.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  12. 12.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  13. 13.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  14. 14.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  15. 15.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  16. 16.Four angles meet at a point. Three of them are 30°, 90° and 70°. What is the fourth angle (in degrees)?
  17. 17.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  18. 18.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  19. 19.An angle measures 250°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  20. 20.An angle measures 185°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  21. 21.Four angles meet at a point. Three of them are 40°, 100° and 180°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  23. 23.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  24. 24.Four angles meet at a point. Three of them are 70°, 60° and 100°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  27. 27.An angle measures 125°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  28. 28.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  29. 29.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  31. 31.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  32. 32.Four angles meet at a point. Three of them are 30°, 60° and 160°. What is the fourth angle (in degrees)?
  33. 33.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  34. 34.An angle measures 140°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  35. 35.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  36. 36.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  37. 37.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  38. 38.Four angles meet at a point. Three of them are 50°, 40° and 80°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 35°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  40. 40.Three angles together make a straight line. Two of them are 35° and 125°. What is the third angle (in degrees)?

Answer key

  1. 120
  2. Straight
  3. 130
  4. 130
  5. 36
  6. East
  7. 110
  8. 150
  9. West
  10. 45
  11. 60
  12. 120
  13. 40
  14. North
  15. West
  16. 170
  17. South
  18. 330
  19. Reflex
  20. Reflex
  21. 40
  22. 210
  23. South
  24. 130
  25. 60
  26. 10
  27. Obtuse
  28. South
  29. 36
  30. 60
  31. West
  32. 110
  33. 45
  34. Obtuse
  35. 60
  36. 20
  37. East
  38. 190
  39. Acute
  40. 20

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