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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 872 · 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 West and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  2. 2.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  3. 3.An angle measures 140°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  4. 4.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 25° and 110°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 70°, 30° and 240°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  11. 11.An angle measures 5°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  12. 12.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  13. 13.Three angles together make a straight line. Two of them are 40° and 15°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 50°, 80° and 160°. What is the fourth angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 30°, 90° and 190°. What is the fourth angle (in degrees)?
  16. 16.An angle measures 340°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  17. 17.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  18. 18.Four angles meet at a point. Three of them are 100°, 40° and 40°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 70°, 30° and 100°. What is the fourth angle (in degrees)?
  20. 20.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  21. 21.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  22. 22.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 70° and 50°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 60°, 70° and 160°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  26. 26.Four angles meet at a point. Three of them are 70°, 100° and 30°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  31. 31.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  32. 32.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  33. 33.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  34. 34.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  35. 35.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 15° and 130°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  40. 40.An angle measures 80°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse

Answer key

  1. East
  2. East
  3. Obtuse
  4. 20
  5. 330
  6. 45
  7. 65
  8. 20
  9. 50
  10. 90
  11. Acute
  12. Right
  13. 125
  14. 70
  15. 50
  16. Reflex
  17. South
  18. 180
  19. 160
  20. 18
  21. West
  22. 30
  23. 60
  24. 70
  25. 60
  26. 160
  27. 60
  28. 90
  29. 180
  30. 30
  31. East
  32. West
  33. North
  34. 180
  35. 60
  36. 30
  37. 25
  38. 35
  39. 90
  40. Acute

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