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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 555 · 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.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  2. 2.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  3. 3.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  4. 4.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 25°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  6. 6.An angle measures 70°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  7. 7.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  8. 8.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 50°, 70° and 180°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  11. 11.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  12. 12.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 25° and 120°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 30°, 60° and 210°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  17. 17.Four angles meet at a point. Three of them are 40°, 60° and 130°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 70°, 30° and 240°. What is the fourth angle (in degrees)?
  20. 20.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  21. 21.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  22. 22.An angle measures 170°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  23. 23.Three angles together make a straight line. Two of them are 60° and 95°. What is the third angle (in degrees)?
  24. 24.An angle measures 150°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  25. 25.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  27. 27.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  28. 28.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 70° and 50°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 10° and 50°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 12 to 5. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 40°, 30° and 260°. What is the fourth angle (in degrees)?
  36. 36.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  37. 37.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 45° and 55°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 10° and 40°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 80° and 50°. What is the fourth angle (in degrees)?

Answer key

  1. 90
  2. North
  3. 60
  4. 36
  5. Acute
  6. Acute
  7. Obtuse
  8. 55
  9. 60
  10. 150
  11. East
  12. 135
  13. 35
  14. 150
  15. 60
  16. 240
  17. 130
  18. 270
  19. 20
  20. Straight
  21. South
  22. Obtuse
  23. 25
  24. Obtuse
  25. 30
  26. 90
  27. South
  28. 270
  29. 60
  30. 50
  31. 60
  32. 120
  33. 150
  34. 120
  35. 30
  36. Acute
  37. 210
  38. 80
  39. 130
  40. 140

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