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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 527 · 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.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 50°, 40° and 90°. What is the fourth angle (in degrees)?
  3. 3.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  4. 4.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  5. 5.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  6. 6.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  7. 7.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  8. 8.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  10. 10.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?
  11. 11.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  12. 12.Three angles together make a straight line. Two of them are 60° and 15°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 9 to 8. How many degrees does it turn?
  14. 14.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 25° and 125°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 95° and 25°. 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 West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  19. 19.Four angles meet at a point. Three of them are 30°, 70° and 250°. What is the fourth angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  21. 21.Three angles together make a straight line. Two of them are 65° and 35°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  23. 23.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 50° and 25°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 100°, 40° and 70°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  29. 29.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 100°, 60° and 100°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 40°, 80° and 130°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 60°, 40° and 110°. What is the fourth angle (in degrees)?
  34. 34.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  35. 35.Four angles meet at a point. Three of them are 60°, 80° and 30°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 25° and 35°. What is the third angle (in degrees)?
  38. 38.An angle measures 155°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  39. 39.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  40. 40.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute

Answer key

  1. 65
  2. 180
  3. South
  4. South
  5. West
  6. 90
  7. East
  8. 72
  9. East
  10. 100
  11. Right
  12. 105
  13. 330
  14. 30
  15. 30
  16. 60
  17. 30
  18. East
  19. 10
  20. 330
  21. 80
  22. 30
  23. 45
  24. 75
  25. 105
  26. 60
  27. 150
  28. Straight
  29. 90
  30. 100
  31. 110
  32. 15
  33. 150
  34. West
  35. 190
  36. 30
  37. 120
  38. Obtuse
  39. 125
  40. Reflex

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