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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 385 · 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) Acute (b) Obtuse (c) Straight
  2. 2.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  4. 4.Four angles meet at a point. Three of them are 70°, 80° and 80°. What is the fourth angle (in degrees)?
  5. 5.An angle measures 25°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  6. 6.An angle measures 90°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  7. 7.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  8. 8.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 80°, 80° and 90°. What is the fourth angle (in degrees)?
  11. 11.An angle measures 50°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  12. 12.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  13. 13.An angle measures 275°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  14. 14.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 40°, 90° and 60°. What is the fourth angle (in degrees)?
  16. 16.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  17. 17.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 60°, 60° and 60°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 225°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  20. 20.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  21. 21.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  22. 22.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  23. 23.Three angles together make a straight line. Two of them are 50° and 25°. What is the third angle (in degrees)?
  24. 24.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  25. 25.Three angles together make a straight line. Two of them are 15° and 145°. What is the third angle (in degrees)?
  26. 26.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 70° and 210°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 10° and 85°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 25° and 35°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  31. 31.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  32. 32.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 90°, 60° and 60°. What is the fourth angle (in degrees)?
  34. 34.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 40°, 30° and 240°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 80°, 70° and 110°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 25° and 20°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 70°, 50° and 120°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 60° and 230°. What is the fourth angle (in degrees)?

Answer key

  1. Straight
  2. 120
  3. 60
  4. 130
  5. Acute
  6. Right
  7. West
  8. 95
  9. 270
  10. 110
  11. Acute
  12. East
  13. Reflex
  14. 330
  15. 170
  16. North
  17. 150
  18. 180
  19. Reflex
  20. 75
  21. 60
  22. North
  23. 105
  24. North
  25. 20
  26. 20
  27. 40
  28. 85
  29. 120
  30. 140
  31. 30
  32. 45
  33. 150
  34. 40
  35. 270
  36. 50
  37. 100
  38. 135
  39. 120
  40. 30

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