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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 190 · 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) East (b) South (c) North (d) West
  2. 2.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  3. 3.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  4. 4.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 55° and 45°. What is the third angle (in degrees)?
  6. 6.An angle measures 155°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  7. 7.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  8. 8.An angle measures 35°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  9. 9.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  12. 12.Three angles together make a straight line. Two of them are 65° and 100°. What is the third angle (in degrees)?
  13. 13.An angle measures 50°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  14. 14.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 130°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  16. 16.Three angles together make a straight line. Two of them are 45° and 45°. What is the third angle (in degrees)?
  17. 17.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  18. 18.Three angles together make a straight line. Two of them are 35° and 75°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 55° and 55°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 85° and 35°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 40°, 80° and 140°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 10°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  25. 25.Three angles together make a straight line. Two of them are 40° and 60°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 75° and 25°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  28. 28.An angle measures 55°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  29. 29.Three angles together make a straight line. Two of them are 30° and 20°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 70°, 30° and 50°. What is the fourth angle (in degrees)?
  31. 31.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  32. 32.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  33. 33.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  34. 34.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  35. 35.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  36. 36.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  37. 37.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  38. 38.Three angles together make a straight line. Two of them are 25° and 35°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?

Answer key

  1. West
  2. South
  3. Straight
  4. 300
  5. 80
  6. Obtuse
  7. Acute
  8. Acute
  9. 120
  10. 90
  11. South
  12. 15
  13. Acute
  14. 60
  15. Obtuse
  16. 90
  17. East
  18. 70
  19. 70
  20. 60
  21. 50
  22. 75
  23. 100
  24. Acute
  25. 80
  26. 80
  27. 30
  28. Acute
  29. 130
  30. 210
  31. East
  32. Right
  33. East
  34. 180
  35. West
  36. 45
  37. West
  38. 120
  39. 60
  40. 90

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