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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 865 · 40 sums
TalentJR

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 full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 20° and 75°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 80°, 50° and 210°. What is the fourth angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  5. 5.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  7. 7.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.Three angles together make a straight line. Two of them are 55° and 45°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 40° and 65°. What is the third angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 50°, 50° and 70°. What is the fourth 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 215°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  14. 14.An angle measures 90°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  15. 15.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  16. 16.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  17. 17.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  18. 18.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  19. 19.Four angles meet at a point. Three of them are 70°, 30° and 30°. What is the fourth angle (in degrees)?
  20. 20.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  21. 21.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  23. 23.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  24. 24.Three angles together make a straight line. Two of them are 55° and 15°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 50° and 85°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 55° and 90°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 50°, 60° and 30°. What is the fourth angle (in degrees)?
  30. 30.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  31. 31.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  33. 33.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  34. 34.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  35. 35.An angle measures 175°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  36. 36.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  37. 37.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  38. 38.An angle measures 280°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  39. 39.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  40. 40.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?

Answer key

  1. 40
  2. 85
  3. 20
  4. 240
  5. 90
  6. 45
  7. 72
  8. West
  9. 80
  10. 75
  11. 190
  12. 60
  13. Reflex
  14. Right
  15. East
  16. 60
  17. 30
  18. East
  19. 230
  20. North
  21. 140
  22. 90
  23. Straight
  24. 110
  25. 90
  26. 45
  27. 180
  28. 35
  29. 220
  30. North
  31. 65
  32. 70
  33. South
  34. West
  35. Obtuse
  36. East
  37. 75
  38. Reflex
  39. West
  40. 20

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