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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 142 · 40 sums
TalentJR

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 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  2. 2.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  3. 3.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  4. 4.An angle measures 290°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  5. 5.An angle measures 285°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  6. 6.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  8. 8.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  9. 9.An angle measures 75°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  10. 10.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 40°, 80° and 160°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  14. 14.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  15. 15.Four angles meet at a point. Three of them are 60°, 80° and 80°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 40°, 40° and 270°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 50° and 65°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 80° and 40°. What is the third angle (in degrees)?
  19. 19.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  20. 20.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 50°, 60° and 210°. What is the fourth angle (in degrees)?
  22. 22.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  23. 23.A straight angle (180°) 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 70°, 80° and 150°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 70° and 110°. What is the fourth angle (in degrees)?
  26. 26.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  27. 27.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  28. 28.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 70° and 15°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 50° and 115°. What is the third angle (in degrees)?
  32. 32.An angle measures 30°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  33. 33.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  34. 34.An angle measures 130°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  35. 35.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  37. 37.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  38. 38.Four angles meet at a point. Three of them are 30°, 30° and 60°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 5°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  40. 40.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?

Answer key

  1. East
  2. 95
  3. 15
  4. Reflex
  5. Reflex
  6. 240
  7. Straight
  8. 180
  9. Acute
  10. 60
  11. 270
  12. 80
  13. 300
  14. South
  15. 140
  16. 10
  17. 65
  18. 60
  19. 36
  20. 36
  21. 40
  22. South
  23. 30
  24. 60
  25. 140
  26. East
  27. South
  28. 150
  29. 270
  30. 95
  31. 15
  32. Acute
  33. 270
  34. Obtuse
  35. 25
  36. 10
  37. North
  38. 240
  39. Acute
  40. 150

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