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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 306 · 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 anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  2. 2.Four angles meet at a point. Three of them are 100°, 30° and 210°. What is the fourth angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  4. 4.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  5. 5.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  6. 6.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  9. 9.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 90°, 90° and 40°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 50° and 65°. What is the third angle (in degrees)?
  14. 14.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  17. 17.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  18. 18.Three angles together make a straight line. Two of them are 70° and 40°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 60° and 25°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 30°, 50° and 160°. What is the fourth angle (in degrees)?
  21. 21.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  22. 22.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  23. 23.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  24. 24.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  25. 25.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  26. 26.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  27. 27.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  28. 28.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  29. 29.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  30. 30.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 100°, 100° and 40°. What is the fourth angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 90°, 40° and 210°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  34. 34.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  35. 35.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  36. 36.An angle measures 25°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  37. 37.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  38. 38.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  39. 39.Four angles meet at a point. Three of them are 50°, 60° and 160°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 75° and 95°. What is the third angle (in degrees)?

Answer key

  1. East
  2. 20
  3. West
  4. 15
  5. 40
  6. 60
  7. 150
  8. Straight
  9. 20
  10. 20
  11. 90
  12. 140
  13. 65
  14. 36
  15. 145
  16. 330
  17. North
  18. 70
  19. 95
  20. 120
  21. 15
  22. 20
  23. West
  24. 270
  25. 60
  26. North
  27. 115
  28. 90
  29. Right
  30. 30
  31. 120
  32. 20
  33. 90
  34. East
  35. 210
  36. Acute
  37. 120
  38. West
  39. 90
  40. 10

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