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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 657 · 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.Three angles together make a straight line. Two of them are 20° and 75°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 35° and 75°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  4. 4.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  5. 5.Four angles meet at a point. Three of them are 30°, 100° and 200°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  7. 7.Three angles together make a straight line. Two of them are 20° and 20°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 10° and 70°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  10. 10.An angle measures 70°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  11. 11.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  12. 12.An angle measures 290°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  13. 13.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  14. 14.An angle measures 40°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  15. 15.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  16. 16.Three angles together make a straight line. Two of them are 75° and 85°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  18. 18.An angle measures 75°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  19. 19.An angle measures 105°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  20. 20.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  21. 21.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  22. 22.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 70°, 60° and 40°. What is the fourth angle (in degrees)?
  25. 25.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  26. 26.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 30° and 180°. What is the fourth angle (in degrees)?
  30. 30.An angle measures 110°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  31. 31.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  32. 32.An angle measures 160°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  33. 33.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  34. 34.Four angles meet at a point. Three of them are 100°, 40° and 30°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 50° and 110°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 30°, 90° and 190°. What is the fourth angle (in degrees)?
  37. 37.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  38. 38.Three angles together make a straight line. Two of them are 50° and 40°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 50° and 230°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 30°, 40° and 170°. What is the fourth angle (in degrees)?

Answer key

  1. 85
  2. 70
  3. 55
  4. West
  5. 30
  6. Right
  7. 140
  8. 100
  9. 30
  10. Acute
  11. 150
  12. Reflex
  13. 90
  14. Acute
  15. West
  16. 20
  17. 180
  18. Acute
  19. Obtuse
  20. 240
  21. 35
  22. 90
  23. 65
  24. 190
  25. North
  26. 20
  27. 140
  28. 65
  29. 60
  30. Obtuse
  31. 36
  32. Obtuse
  33. Straight
  34. 190
  35. 20
  36. 50
  37. South
  38. 90
  39. 30
  40. 120

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