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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 265 · 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 10° and 60°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 10° and 160°. What is the third angle (in degrees)?
  3. 3.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  4. 4.An angle measures 325°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  5. 5.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  7. 7.An angle measures 60°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  8. 8.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  9. 9.Three angles together make a straight line. Two of them are 50° and 100°. What is the third angle (in degrees)?
  10. 10.An angle measures 50°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  11. 11.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  12. 12.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  13. 13.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  14. 14.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 100°, 100° and 70°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 60°, 100° and 30°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 60° and 10°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 80°, 100° and 110°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 215°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  20. 20.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  21. 21.Three angles together make a straight line. Two of them are 100° and 30°. What is the third angle (in degrees)?
  22. 22.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  25. 25.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  26. 26.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 70°, 80° and 110°. What is the fourth angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 95° and 70°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 100° and 65°. What is the third angle (in degrees)?
  33. 33.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  34. 34.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  35. 35.Four angles meet at a point. Three of them are 100°, 70° and 100°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 50°, 30° and 60°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 100°, 40° and 180°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  39. 39.An angle measures 265°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  40. 40.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?

Answer key

  1. 110
  2. 10
  3. Right
  4. Reflex
  5. 45
  6. 180
  7. Acute
  8. 300
  9. 30
  10. Acute
  11. 15
  12. West
  13. North
  14. 60
  15. 90
  16. 170
  17. 110
  18. 70
  19. Reflex
  20. Straight
  21. 50
  22. 72
  23. 240
  24. 270
  25. 40
  26. 15
  27. 100
  28. 240
  29. 30
  30. 40
  31. 15
  32. 15
  33. South
  34. West
  35. 90
  36. 220
  37. 40
  38. 150
  39. Reflex
  40. 210

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