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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 724 · 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.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 75° and 45°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  4. 4.An angle measures 20°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  5. 5.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 40°, 50° and 210°. What is the fourth angle (in degrees)?
  7. 7.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  9. 9.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  10. 10.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  11. 11.Four angles meet at a point. Three of them are 50°, 70° and 30°. What is the fourth angle (in degrees)?
  12. 12.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 50°, 60° and 190°. What is the fourth angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  17. 17.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  18. 18.Four angles meet at a point. Three of them are 40°, 50° and 150°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 10° and 75°. What is the third angle (in degrees)?
  20. 20.An angle measures 145°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  21. 21.An angle measures 260°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  22. 22.Four angles meet at a point. Three of them are 30°, 100° and 150°. What is the fourth angle (in degrees)?
  23. 23.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  24. 24.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  25. 25.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  26. 26.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 70°, 90° and 90°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  31. 31.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  33. 33.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  34. 34.Four angles meet at a point. Three of them are 40°, 30° and 220°. What is the fourth angle (in degrees)?
  35. 35.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  36. 36.Three angles together make a straight line. Two of them are 70° and 30°. What is the third angle (in degrees)?
  37. 37.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  38. 38.Four angles meet at a point. Three of them are 60°, 60° and 100°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 60° and 160°. What is the fourth angle (in degrees)?
  40. 40.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South

Answer key

  1. 90
  2. 60
  3. 30
  4. Acute
  5. 90
  6. 60
  7. 72
  8. Right
  9. 120
  10. Straight
  11. 210
  12. South
  13. 36
  14. 60
  15. 60
  16. 30
  17. Obtuse
  18. 120
  19. 95
  20. Obtuse
  21. Reflex
  22. 80
  23. South
  24. 25
  25. East
  26. 125
  27. 60
  28. 110
  29. 15
  30. 90
  31. 36
  32. 95
  33. West
  34. 70
  35. West
  36. 80
  37. Acute
  38. 140
  39. 90
  40. North

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