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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 713 · 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.Four angles meet at a point. Three of them are 50°, 30° and 90°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 5°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  3. 3.Four angles meet at a point. Three of them are 50°, 40° and 170°. What is the fourth angle (in degrees)?
  4. 4.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  6. 6.Four angles meet at a point. Three of them are 30°, 70° and 60°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  8. 8.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  9. 9.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  10. 10.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 100°, 50° and 120°. What is the fourth angle (in degrees)?
  13. 13.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  14. 14.An angle measures 105°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  17. 17.An angle measures 215°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  18. 18.Three angles together make a straight line. Two of them are 20° and 70°. What is the third angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 100°, 70° and 50°. 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.An angle measures 280°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  22. 22.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  23. 23.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  24. 24.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 70°, 60° and 180°. What is the fourth angle (in degrees)?
  28. 28.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 7 to 1. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 70°, 70° and 100°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 30° and 135°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  34. 34.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  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 12 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.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  39. 39.An angle measures 135°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  40. 40.An angle measures 20°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute

Answer key

  1. 190
  2. Acute
  3. 100
  4. 30
  5. 90
  6. 200
  7. Straight
  8. North
  9. West
  10. 40
  11. 115
  12. 90
  13. East
  14. Obtuse
  15. 60
  16. 150
  17. Reflex
  18. 90
  19. 140
  20. 90
  21. Reflex
  22. 45
  23. Right
  24. 90
  25. 120
  26. 330
  27. 50
  28. 36
  29. 180
  30. 120
  31. 15
  32. 125
  33. 20
  34. South
  35. 18
  36. 15
  37. 72
  38. 330
  39. Obtuse
  40. Acute

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