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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 520 · 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 straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 60°, 30° and 90°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  6. 6.Three angles together make a straight line. Two of them are 70° and 50°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 90°, 90° and 80°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  9. 9.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  12. 12.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  13. 13.An angle measures 150°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  14. 14.Three angles together make a straight line. Two of them are 35° and 25°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 50°, 50° and 160°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 25° and 110°. What is the third angle (in degrees)?
  18. 18.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  19. 19.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  20. 20.Three angles together make a straight line. Two of them are 35° and 80°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 20° and 120°. What is the third angle (in degrees)?
  22. 22.An angle measures 130°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  23. 23.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 20° and 30°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  26. 26.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 10° and 130°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 40°, 40° and 60°. What is the fourth angle (in degrees)?
  29. 29.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  30. 30.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  31. 31.Four angles meet at a point. Three of them are 70°, 40° and 240°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  35. 35.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  36. 36.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  39. 39.An angle measures 125°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  40. 40.Four angles meet at a point. Three of them are 100°, 60° and 50°. What is the fourth angle (in degrees)?

Answer key

  1. 60
  2. 180
  3. 35
  4. 90
  5. Right
  6. 60
  7. 100
  8. Straight
  9. 105
  10. 180
  11. 210
  12. 270
  13. Obtuse
  14. 120
  15. 330
  16. 100
  17. 45
  18. 36
  19. East
  20. 65
  21. 40
  22. Obtuse
  23. 20
  24. 130
  25. 40
  26. 120
  27. 40
  28. 220
  29. 30
  30. Reflex
  31. 10
  32. 15
  33. 30
  34. West
  35. West
  36. 72
  37. 60
  38. 180
  39. Obtuse
  40. 150

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