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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 586 · 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 50° and 80°. What is the third angle (in degrees)?
  2. 2.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  3. 3.Three angles together make a straight line. Two of them are 20° and 45°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 55° and 115°. What is the third angle (in degrees)?
  6. 6.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  7. 7.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 60°, 60° and 210°. What is the fourth angle (in degrees)?
  9. 9.An angle measures 235°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  10. 10.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  11. 11.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 80°, 30° and 180°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  15. 15.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  16. 16.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  18. 18.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  19. 19.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  20. 20.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  21. 21.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  23. 23.Three angles together make a straight line. Two of them are 35° and 40°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 30° and 100°. What is the third angle (in degrees)?
  25. 25.An angle measures 260°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  26. 26.Four angles meet at a point. Three of them are 60°, 100° and 30°. What is the fourth angle (in degrees)?
  27. 27.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 90° and 35°. What is the third angle (in degrees)?
  31. 31.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  32. 32.Four angles meet at a point. Three of them are 90°, 30° and 200°. What is the fourth angle (in degrees)?
  33. 33.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 60° and 30°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 30° and 85°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 30°, 30° and 260°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 90°, 50° and 130°. What is the fourth angle (in degrees)?
  38. 38.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  39. 39.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  40. 40.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?

Answer key

  1. 50
  2. Right
  3. 115
  4. 210
  5. 10
  6. Obtuse
  7. 72
  8. 30
  9. Reflex
  10. East
  11. 30
  12. 70
  13. 30
  14. 90
  15. Straight
  16. 45
  17. 75
  18. West
  19. 240
  20. 30
  21. 36
  22. East
  23. 105
  24. 50
  25. Reflex
  26. 170
  27. 60
  28. 210
  29. 35
  30. 55
  31. Obtuse
  32. 40
  33. 30
  34. 90
  35. 65
  36. 40
  37. 90
  38. 18
  39. East
  40. 60

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