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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 755 · 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 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  2. 2.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  4. 4.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  5. 5.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  6. 6.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 215°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  8. 8.Three angles together make a straight line. Two of them are 90° and 80°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
  11. 11.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  12. 12.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  14. 14.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  15. 15.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  16. 16.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  17. 17.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  18. 18.An angle measures 270°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 95° and 35°. What is the third angle (in degrees)?
  21. 21.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 170°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  23. 23.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 90°, 50° and 70°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  27. 27.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  28. 28.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  29. 29.An angle measures 315°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  30. 30.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  31. 31.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 70°, 80° and 40°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 30°, 30° and 140°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 100°, 50° and 110°. What is the fourth angle (in degrees)?
  37. 37.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  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.An angle measures 145°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  40. 40.Three angles together make a straight line. Two of them are 25° and 90°. What is the third angle (in degrees)?

Answer key

  1. South
  2. 270
  3. Straight
  4. 90
  5. South
  6. 20
  7. Reflex
  8. 10
  9. 35
  10. 100
  11. Obtuse
  12. 30
  13. South
  14. South
  15. North
  16. West
  17. West
  18. Reflex
  19. 330
  20. 50
  21. 18
  22. Obtuse
  23. 60
  24. 150
  25. 45
  26. 240
  27. West
  28. Right
  29. Reflex
  30. North
  31. 100
  32. 60
  33. 170
  34. 30
  35. 160
  36. 100
  37. East
  38. East
  39. Obtuse
  40. 65

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