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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 49 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Three angles together make a straight line. Two of them are 35° and 90°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 30°, 30° and 290°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 100°, 100° and 90°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 40°, 70° and 80°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 135°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  8. 8.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  9. 9.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 10° and 40°. What is the third angle (in degrees)?
  11. 11.An angle measures 25°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  12. 12.Three angles together make a straight line. Two of them are 60° and 45°. What is the third angle (in degrees)?
  13. 13.An angle measures 335°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  14. 14.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  15. 15.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  16. 16.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  17. 17.Three angles together make a straight line. Two of them are 90° and 35°. What is the third angle (in degrees)?
  18. 18.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  19. 19.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  20. 20.Three angles together make a straight line. Two of them are 75° and 35°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 10° and 110°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 60°, 40° and 210°. What is the fourth angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 20° and 140°. What is the third angle (in degrees)?
  25. 25.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  26. 26.Three angles together make a straight line. Two of them are 35° and 30°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 50°, 80° and 80°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  29. 29.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 35° and 80°. What is the third angle (in degrees)?
  32. 32.An angle measures 325°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  33. 33.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.An angle measures 5°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  35. 35.Three angles together make a straight line. Two of them are 55° and 100°. What is the third angle (in degrees)?
  36. 36.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  37. 37.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 50°, 40° and 140°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 290°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  40. 40.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?

Answer key

  1. 55
  2. 10
  3. 70
  4. 170
  5. 90
  6. 36
  7. Obtuse
  8. North
  9. 30
  10. 130
  11. Acute
  12. 75
  13. Reflex
  14. 210
  15. East
  16. North
  17. 55
  18. 45
  19. West
  20. 70
  21. 60
  22. 50
  23. 120
  24. 20
  25. Right
  26. 115
  27. 150
  28. 15
  29. 120
  30. 60
  31. 65
  32. Reflex
  33. 15
  34. Acute
  35. 25
  36. North
  37. 10
  38. 130
  39. Reflex
  40. 60

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