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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 387 · 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.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  2. 2.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  3. 3.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  4. 4.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  5. 5.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  6. 6.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 70°, 70° and 90°. What is the fourth angle (in degrees)?
  8. 8.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 115°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  10. 10.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 10° and 95°. What is the third angle (in degrees)?
  12. 12.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 15° and 145°. What is the third angle (in degrees)?
  14. 14.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 315°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  16. 16.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  18. 18.The minute hand of a clock turns clockwise from 5 to 1. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 100°, 100° and 100°. What is the fourth angle (in degrees)?
  20. 20.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  21. 21.Three angles together make a straight line. Two of them are 60° and 90°. 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.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  24. 24.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  25. 25.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  26. 26.Four angles meet at a point. Three of them are 90°, 40° and 170°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 40°, 90° and 40°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 10° and 50°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 100°, 60° and 30°. What is the fourth angle (in degrees)?
  37. 37.An angle measures 230°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  38. 38.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  39. 39.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  40. 40.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East

Answer key

  1. Straight
  2. 330
  3. 300
  4. West
  5. 30
  6. 15
  7. 130
  8. 30
  9. Obtuse
  10. 45
  11. 75
  12. 90
  13. 20
  14. 18
  15. Reflex
  16. 270
  17. Right
  18. 240
  19. 60
  20. West
  21. 30
  22. 72
  23. East
  24. 180
  25. West
  26. 60
  27. 150
  28. 190
  29. 120
  30. 270
  31. 270
  32. 45
  33. 40
  34. 120
  35. 330
  36. 170
  37. Reflex
  38. 20
  39. 45
  40. East

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