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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 109 · 40 sums
TalentJR

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 75° and 75°. What is the third angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  3. 3.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  5. 5.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 30°, 70° and 120°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 170°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  9. 9.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  10. 10.An angle measures 130°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  11. 11.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  12. 12.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  13. 13.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 80°, 60° and 50°. What is the fourth angle (in degrees)?
  16. 16.An angle measures 50°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  17. 17.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  18. 18.An angle measures 165°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  20. 20.Four angles meet at a point. Three of them are 90°, 30° and 190°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  22. 22.Three angles together make a straight line. Two of them are 35° and 95°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  24. 24.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 350°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  26. 26.Four angles meet at a point. Three of them are 80°, 50° and 190°. What is the fourth angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 80°, 60° and 100°. What is the fourth angle (in degrees)?
  28. 28.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  29. 29.Four angles meet at a point. Three of them are 90°, 70° and 120°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 20° and 45°. What is the third angle (in degrees)?
  31. 31.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  33. 33.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 50°, 40° and 240°. What is the fourth angle (in degrees)?
  35. 35.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  36. 36.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  38. 38.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 70° and 160°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 65° and 25°. What is the third angle (in degrees)?

Answer key

  1. 30
  2. South
  3. 50
  4. 60
  5. 120
  6. 36
  7. 140
  8. Obtuse
  9. Right
  10. Obtuse
  11. Straight
  12. 150
  13. 90
  14. 240
  15. 170
  16. Acute
  17. North
  18. Obtuse
  19. 210
  20. 50
  21. 300
  22. 50
  23. 20
  24. 45
  25. Reflex
  26. 40
  27. 120
  28. North
  29. 80
  30. 115
  31. 60
  32. East
  33. 72
  34. 30
  35. West
  36. 180
  37. 330
  38. 40
  39. 80
  40. 90

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