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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 326 · 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.Four angles meet at a point. Three of them are 100°, 70° and 130°. What is the fourth angle (in degrees)?
  2. 2.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  3. 3.Four angles meet at a point. Three of them are 70°, 100° and 90°. What is the fourth angle (in degrees)?
  4. 4.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  5. 5.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 70° and 85°. What is the third angle (in degrees)?
  7. 7.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 80° and 40°. What is the third angle (in degrees)?
  10. 10.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  11. 11.Three angles together make a straight line. Two of them are 30° and 135°. What is the third angle (in degrees)?
  12. 12.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  14. 14.Four angles meet at a point. Three of them are 90°, 60° and 30°. What is the fourth angle (in degrees)?
  15. 15.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 70°, 30° and 160°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 85° and 10°. What is the third angle (in degrees)?
  18. 18.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  19. 19.Four angles meet at a point. Three of them are 100°, 60° and 140°. What is the fourth angle (in degrees)?
  20. 20.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 70°, 80° and 70°. What is the fourth angle (in degrees)?
  23. 23.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  24. 24.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  25. 25.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  26. 26.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  27. 27.An angle measures 135°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  28. 28.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  29. 29.Three angles together make a straight line. Two of them are 45° and 115°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  32. 32.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  34. 34.An angle measures 350°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  35. 35.Four angles meet at a point. Three of them are 70°, 100° and 170°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 85° and 15°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 15° and 95°. What is the third angle (in degrees)?
  40. 40.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North

Answer key

  1. 60
  2. North
  3. 100
  4. Straight
  5. 180
  6. 25
  7. 40
  8. 40
  9. 60
  10. Obtuse
  11. 15
  12. 36
  13. 330
  14. 180
  15. 20
  16. 100
  17. 85
  18. East
  19. 60
  20. 120
  21. 20
  22. 140
  23. North
  24. 270
  25. 180
  26. North
  27. Obtuse
  28. West
  29. 20
  30. 125
  31. 120
  32. 45
  33. 35
  34. Reflex
  35. 20
  36. 240
  37. 90
  38. 80
  39. 70
  40. South

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