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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 859 · 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 anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  2. 2.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  3. 3.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  4. 4.Four angles meet at a point. Three of them are 50°, 90° and 40°. What is the fourth angle (in degrees)?
  5. 5.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 200°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  7. 7.Four angles meet at a point. Three of them are 70°, 40° and 170°. What is the fourth angle (in degrees)?
  8. 8.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  10. 10.An angle measures 90°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  11. 11.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 50°, 100° and 130°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  14. 14.An angle measures 135°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  15. 15.Four angles meet at a point. Three of them are 80°, 80° and 50°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 55° and 105°. What is the third angle (in degrees)?
  18. 18.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.An angle measures 95°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  20. 20.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  21. 21.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  22. 22.An angle measures 180°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  23. 23.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 50° and 95°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  27. 27.Three angles together make a straight line. Two of them are 25° and 115°. What is the third angle (in degrees)?
  28. 28.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  29. 29.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  30. 30.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 90° and 80°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  35. 35.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  37. 37.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  38. 38.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  39. 39.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 20° and 55°. What is the third angle (in degrees)?

Answer key

  1. West
  2. South
  3. West
  4. 180
  5. 15
  6. Reflex
  7. 80
  8. South
  9. 85
  10. Right
  11. 20
  12. 80
  13. 45
  14. Obtuse
  15. 150
  16. 40
  17. 20
  18. 30
  19. Obtuse
  20. South
  21. 120
  22. Straight
  23. 120
  24. 35
  25. 90
  26. South
  27. 40
  28. West
  29. North
  30. 90
  31. 10
  32. 330
  33. 75
  34. 60
  35. 30
  36. 180
  37. 60
  38. East
  39. 50
  40. 105

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