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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 36 · 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.An angle measures 15°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  2. 2.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  3. 3.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  4. 4.You face South and turn anticlockwise through 180°. 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 50°, 100° and 30°. What is the fourth angle (in degrees)?
  6. 6.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 60°, 100° and 40°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 90°, 100° and 120°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 60° and 15°. What is the third angle (in degrees)?
  12. 12.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 265°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  14. 14.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  15. 15.Three angles together make a straight line. Two of them are 35° and 55°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 45° and 110°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 100°, 30° and 60°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  23. 23.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 70° and 50°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  26. 26.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  27. 27.An angle measures 120°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  28. 28.Four angles meet at a point. Three of them are 80°, 100° and 160°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 40° and 50°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 60° and 220°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 50° and 75°. What is the third angle (in degrees)?
  32. 32.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  33. 33.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  37. 37.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  38. 38.Four angles meet at a point. Three of them are 40°, 70° and 150°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?

Answer key

  1. Acute
  2. West
  3. West
  4. North
  5. 180
  6. 60
  7. 160
  8. 15
  9. 50
  10. 120
  11. 105
  12. 60
  13. Reflex
  14. Right
  15. 90
  16. 65
  17. 270
  18. 300
  19. 25
  20. 135
  21. 170
  22. 115
  23. 20
  24. 140
  25. 30
  26. 45
  27. Obtuse
  28. 20
  29. 180
  30. 40
  31. 55
  32. East
  33. 45
  34. 115
  35. 300
  36. 95
  37. East
  38. 100
  39. 100
  40. 85

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