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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 560 · 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.

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  1. 1.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  2. 2.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  3. 3.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 60° and 90°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 90°, 90° and 110°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 135°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  7. 7.Four angles meet at a point. Three of them are 40°, 60° and 30°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  9. 9.Three angles together make a straight line. Two of them are 40° and 85°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 100°, 50° and 180°. What is the fourth angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  13. 13.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  14. 14.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  15. 15.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  16. 16.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  17. 17.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  19. 19.Four angles meet at a point. Three of them are 30°, 60° and 40°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 35° and 65°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 100°, 40° and 130°. What is the fourth angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 30°, 60° and 150°. What is the fourth angle (in degrees)?
  23. 23.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  24. 24.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 70°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  26. 26.Three angles together make a straight line. Two of them are 25° and 85°. What is the third angle (in degrees)?
  27. 27.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  28. 28.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  29. 29.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  30. 30.An angle measures 300°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  31. 31.Three angles together make a straight line. Two of them are 90° and 65°. What is the third angle (in degrees)?
  32. 32.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 10 to 2. How many degrees does it turn?
  34. 34.An angle measures 160°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  35. 35.Four angles meet at a point. Three of them are 40°, 100° and 120°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  38. 38.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  39. 39.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?
  40. 40.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?

Answer key

  1. North
  2. South
  3. 30
  4. 120
  5. 70
  6. Obtuse
  7. 230
  8. Acute
  9. 55
  10. 30
  11. 40
  12. 75
  13. 45
  14. West
  15. North
  16. 35
  17. 20
  18. Right
  19. 230
  20. 80
  21. 90
  22. 120
  23. North
  24. 40
  25. Acute
  26. 70
  27. Straight
  28. South
  29. 120
  30. Reflex
  31. 25
  32. 45
  33. 120
  34. Obtuse
  35. 100
  36. 90
  37. 90
  38. East
  39. 55
  40. 18

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