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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 1 · 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.An angle measures 70°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  3. 3.An angle measures 340°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  4. 4.Three angles together make a straight line. Two of them are 30° and 45°. What is the third angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 15° and 30°. What is the third angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  8. 8.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 80°, 90° and 160°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  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 30°, 100° and 60°. What is the fourth angle (in degrees)?
  13. 13.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  14. 14.An angle measures 20°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  15. 15.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  16. 16.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  18. 18.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  19. 19.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 75° and 85°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 40°, 80° and 70°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 80°, 50° and 30°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  25. 25.An angle measures 185°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  26. 26.You face East and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  27. 27.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  28. 28.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 85° and 15°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 80° and 130°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 70°, 40° and 90°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  34. 34.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  35. 35.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  36. 36.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  37. 37.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 50°, 60° and 150°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  40. 40.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East

Answer key

  1. 60
  2. Acute
  3. Reflex
  4. 105
  5. 180
  6. 135
  7. Straight
  8. 60
  9. 30
  10. Obtuse
  11. 30
  12. 170
  13. West
  14. Acute
  15. North
  16. 140
  17. Right
  18. 210
  19. 120
  20. 20
  21. 170
  22. 240
  23. 200
  24. 30
  25. Reflex
  26. South
  27. South
  28. 150
  29. 80
  30. 120
  31. 160
  32. 40
  33. 300
  34. 60
  35. 18
  36. 45
  37. 72
  38. 100
  39. 180
  40. East

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