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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 499 · 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.Four angles meet at a point. Three of them are 70°, 30° and 100°. What is the fourth angle (in degrees)?
  2. 2.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  3. 3.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  4. 4.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  7. 7.Four angles meet at a point. Three of them are 90°, 30° and 80°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  9. 9.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  10. 10.An angle measures 260°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  11. 11.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  12. 12.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  13. 13.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  15. 15.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  16. 16.An angle measures 340°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  17. 17.Three angles together make a straight line. Two of them are 20° and 130°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 40° and 120°. What is the third angle (in degrees)?
  19. 19.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 15° and 10°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 90°, 60° and 110°. What is the fourth angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  23. 23.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  24. 24.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  25. 25.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  26. 26.Three angles together make a straight line. Two of them are 80° and 90°. What is the third angle (in degrees)?
  27. 27.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.An angle measures 145°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  29. 29.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 30° and 135°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 100°, 100° and 30°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 70°, 50° and 40°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 50° and 90°. What is the third angle (in degrees)?
  36. 36.An angle measures 10°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  37. 37.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 70°, 60° and 120°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?

Answer key

  1. 160
  2. South
  3. South
  4. 30
  5. 45
  6. Right
  7. 160
  8. Straight
  9. East
  10. Reflex
  11. 95
  12. South
  13. 75
  14. 90
  15. 90
  16. Reflex
  17. 30
  18. 20
  19. 45
  20. 155
  21. 100
  22. 180
  23. South
  24. 60
  25. West
  26. 10
  27. 60
  28. Obtuse
  29. 90
  30. 15
  31. 130
  32. 135
  33. 210
  34. 200
  35. 40
  36. Acute
  37. 15
  38. 65
  39. 110
  40. 120

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