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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 832 · 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 30° and 105°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 50°, 40° and 160°. What is the fourth angle (in degrees)?
  3. 3.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  5. 5.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  7. 7.An angle measures 70°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  8. 8.An angle measures 135°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  9. 9.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  10. 10.An angle measures 60°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  11. 11.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  12. 12.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 70°, 40° and 130°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 60°, 100° and 60°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 80° and 150°. What is the fourth angle (in degrees)?
  17. 17.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  18. 18.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  19. 19.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  22. 22.An angle measures 305°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 60° and 110°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 60°, 100° and 100°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 50° and 60°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  27. 27.Four angles meet at a point. Three of them are 50°, 80° and 120°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
  29. 29.An angle measures 45°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  30. 30.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  32. 32.Four angles meet at a point. Three of them are 40°, 30° and 150°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 40° and 120°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 25° and 145°. What is the third angle (in degrees)?
  35. 35.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  36. 36.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  37. 37.Three angles together make a straight line. Two of them are 70° and 100°. What is the third angle (in degrees)?
  38. 38.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  39. 39.Four angles meet at a point. Three of them are 100°, 80° and 160°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 10° and 40°. What is the third angle (in degrees)?

Answer key

  1. 45
  2. 110
  3. 72
  4. 18
  5. 90
  6. 75
  7. Acute
  8. Obtuse
  9. East
  10. Acute
  11. 70
  12. 90
  13. 120
  14. 70
  15. 140
  16. 50
  17. South
  18. North
  19. 270
  20. 15
  21. 85
  22. Reflex
  23. 10
  24. 100
  25. 190
  26. Right
  27. 110
  28. 100
  29. Acute
  30. 15
  31. North
  32. 140
  33. 20
  34. 10
  35. 45
  36. West
  37. 10
  38. North
  39. 20
  40. 130

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