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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 506 · 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.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  2. 2.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  5. 5.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  6. 6.An angle measures 205°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  7. 7.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  8. 8.Four angles meet at a point. Three of them are 40°, 80° and 180°. What is the fourth angle (in degrees)?
  9. 9.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  11. 11.An angle measures 115°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  12. 12.Three angles together make a straight line. Two of them are 20° and 80°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 40°, 40° and 50°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 60°, 100° and 190°. What is the fourth angle (in degrees)?
  15. 15.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  16. 16.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  17. 17.An angle measures 170°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  18. 18.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.An angle measures 340°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  20. 20.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  23. 23.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  24. 24.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  26. 26.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
  27. 27.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  28. 28.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  29. 29.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  30. 30.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  34. 34.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  35. 35.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  36. 36.Three angles together make a straight line. Two of them are 90° and 55°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?
  38. 38.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  39. 39.Four angles meet at a point. Three of them are 30°, 30° and 200°. What is the fourth angle (in degrees)?
  40. 40.An angle measures 75°. What kind of angle is it? (a) Reflex (b) Acute (c) Right

Answer key

  1. West
  2. 30
  3. 30
  4. 240
  5. 210
  6. Reflex
  7. Right
  8. 60
  9. 45
  10. 60
  11. Obtuse
  12. 80
  13. 230
  14. 10
  15. 40
  16. South
  17. Obtuse
  18. 15
  19. Reflex
  20. 45
  21. 135
  22. 10
  23. Straight
  24. 120
  25. Obtuse
  26. 55
  27. South
  28. West
  29. 45
  30. 90
  31. 60
  32. 210
  33. 20
  34. 30
  35. East
  36. 35
  37. 100
  38. South
  39. 100
  40. Acute

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