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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 876 · 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.An angle measures 10°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  2. 2.Three angles together make a straight line. Two of them are 55° and 105°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  4. 4.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  6. 6.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  7. 7.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  8. 8.Three angles together make a straight line. Two of them are 25° and 40°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 50° and 100°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 100°, 50° and 120°. What is the fourth angle (in degrees)?
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  13. 13.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  14. 14.Four angles meet at a point. Three of them are 80°, 80° and 30°. What is the fourth angle (in degrees)?
  15. 15.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 10° and 120°. What is the third angle (in degrees)?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  18. 18.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 50°, 50° and 130°. What is the fourth angle (in degrees)?
  20. 20.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 70°, 50° and 140°. What is the fourth angle (in degrees)?
  22. 22.An angle measures 5°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  23. 23.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 50° and 90°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 25° and 45°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 70°, 50° and 50°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 30° and 125°. What is the third angle (in degrees)?
  29. 29.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  30. 30.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  31. 31.Three angles together make a straight line. Two of them are 100° and 30°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  33. 33.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  34. 34.Three angles together make a straight line. Two of them are 40° and 55°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  36. 36.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  37. 37.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 60°, 80° and 180°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 70° and 60°. What is the fourth angle (in degrees)?

Answer key

  1. Acute
  2. 20
  3. 150
  4. 36
  5. 105
  6. Straight
  7. East
  8. 115
  9. 30
  10. 90
  11. 15
  12. 30
  13. 270
  14. 170
  15. 72
  16. 50
  17. Right
  18. 36
  19. 130
  20. 90
  21. 100
  22. Acute
  23. 120
  24. 120
  25. 110
  26. 240
  27. 190
  28. 25
  29. North
  30. 300
  31. 50
  32. 150
  33. West
  34. 85
  35. 300
  36. South
  37. 90
  38. 45
  39. 40
  40. 180

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