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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 831 · 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 30° and 35°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 65° and 90°. What is the third angle (in degrees)?
  3. 3.An angle measures 160°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  4. 4.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 20° and 110°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  8. 8.An angle measures 240°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  9. 9.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  10. 10.Three angles together make a straight line. Two of them are 45° and 45°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 80° and 45°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  14. 14.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  16. 16.Four angles meet at a point. Three of them are 80°, 100° and 40°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  18. 18.An angle measures 60°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  19. 19.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 50° and 65°. What is the third angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  22. 22.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  23. 23.Four angles meet at a point. Three of them are 70°, 60° and 130°. What is the fourth angle (in degrees)?
  24. 24.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  26. 26.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  27. 27.An angle measures 95°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  28. 28.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  31. 31.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  33. 33.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  34. 34.Four angles meet at a point. Three of them are 50°, 100° and 70°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 90° and 35°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  37. 37.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  38. 38.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  40. 40.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?

Answer key

  1. 115
  2. 25
  3. Obtuse
  4. 18
  5. 50
  6. 40
  7. West
  8. Reflex
  9. North
  10. 90
  11. 270
  12. 55
  13. 55
  14. 15
  15. Acute
  16. 140
  17. Right
  18. Acute
  19. 90
  20. 65
  21. 90
  22. North
  23. 100
  24. 72
  25. Straight
  26. 240
  27. Obtuse
  28. 30
  29. 55
  30. 40
  31. 36
  32. 120
  33. West
  34. 140
  35. 55
  36. 25
  37. 45
  38. 120
  39. South
  40. 180

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