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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 864 · 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.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 300°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  4. 4.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  5. 5.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  6. 6.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  7. 7.An angle measures 85°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  8. 8.Four angles meet at a point. Three of them are 80°, 50° and 190°. What is the fourth angle (in degrees)?
  9. 9.An angle measures 65°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  10. 10.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  12. 12.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  13. 13.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  14. 14.An angle measures 275°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  15. 15.Four angles meet at a point. Three of them are 50°, 30° and 270°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 50°, 80° and 180°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 40°, 40° and 50°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 25° and 120°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 25° and 115°. What is the third angle (in degrees)?
  22. 22.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 30° and 45°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 80°, 100° and 90°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 65° and 65°. What is the third angle (in degrees)?
  26. 26.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 60°, 50° and 240°. What is the fourth angle (in degrees)?
  28. 28.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  29. 29.Four angles meet at a point. Three of them are 50°, 70° and 60°. What is the fourth angle (in degrees)?
  30. 30.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.An angle measures 290°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  32. 32.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  33. 33.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  34. 34.An angle measures 285°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  35. 35.An angle measures 25°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  36. 36.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  37. 37.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  38. 38.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  39. 39.An angle measures 120°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  40. 40.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?

Answer key

  1. 60
  2. 90
  3. Reflex
  4. 100
  5. Straight
  6. South
  7. Acute
  8. 40
  9. Acute
  10. 45
  11. Right
  12. West
  13. 95
  14. Reflex
  15. 10
  16. 50
  17. 30
  18. 230
  19. 36
  20. 35
  21. 40
  22. 45
  23. 105
  24. 90
  25. 50
  26. 36
  27. 10
  28. North
  29. 180
  30. 15
  31. Reflex
  32. West
  33. 330
  34. Reflex
  35. Acute
  36. East
  37. South
  38. 30
  39. Obtuse
  40. 30

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