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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 801 · 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.Four angles meet at a point. Three of them are 70°, 100° and 40°. What is the fourth angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  3. 3.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  4. 4.Three angles together make a straight line. Two of them are 95° and 30°. What is the third angle (in degrees)?
  5. 5.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  6. 6.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  7. 7.Three angles together make a straight line. Two of them are 10° and 120°. What is the third angle (in degrees)?
  8. 8.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 100°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  10. 10.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  11. 11.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 60° and 210°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  17. 17.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  18. 18.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  19. 19.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 10°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 85° and 10°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 70°, 40° and 240°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 35°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  26. 26.Four angles meet at a point. Three of them are 50°, 90° and 150°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  28. 28.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  29. 29.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  30. 30.An angle measures 20°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  31. 31.Three angles together make a straight line. Two of them are 20° and 30°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 65° and 65°. What is the third angle (in degrees)?
  33. 33.An angle measures 110°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  34. 34.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  37. 37.An angle measures 105°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  38. 38.Three angles together make a straight line. Two of them are 40° and 90°. What is the third angle (in degrees)?
  39. 39.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 50° and 100°. What is the fourth angle (in degrees)?

Answer key

  1. 150
  2. East
  3. South
  4. 55
  5. East
  6. North
  7. 50
  8. 90
  9. Obtuse
  10. Straight
  11. 36
  12. 75
  13. 60
  14. 30
  15. 240
  16. 115
  17. 90
  18. 45
  19. 60
  20. Right
  21. 30
  22. Acute
  23. 85
  24. 10
  25. Acute
  26. 70
  27. 90
  28. North
  29. 30
  30. Acute
  31. 130
  32. 50
  33. Obtuse
  34. 270
  35. 150
  36. 300
  37. Obtuse
  38. 50
  39. 20
  40. 160

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