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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 861 · 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 90°. 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 100° and 10°. What is the third angle (in degrees)?
  3. 3.An angle measures 30°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  4. 4.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  5. 5.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  6. 6.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  7. 7.Three angles together make a straight line. Two of them are 15° and 100°. What is the third angle (in degrees)?
  8. 8.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  9. 9.Four angles meet at a point. Three of them are 80°, 40° and 110°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  11. 11.Four angles meet at a point. Three of them are 50°, 60° and 30°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 15° and 30°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  14. 14.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  15. 15.Three angles together make a straight line. Two of them are 100° and 20°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  17. 17.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  18. 18.Three angles together make a straight line. Two of them are 50° and 20°. What is the third angle (in degrees)?
  19. 19.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  20. 20.Three angles together make a straight line. Two of them are 65° and 85°. What is the third angle (in degrees)?
  21. 21.An angle measures 55°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  22. 22.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  24. 24.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  25. 25.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  26. 26.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 20° and 50°. What is the third angle (in degrees)?
  28. 28.An angle measures 15°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  29. 29.Four angles meet at a point. Three of them are 30°, 30° and 220°. What is the fourth angle (in degrees)?
  30. 30.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.An angle measures 155°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 60°, 90° and 140°. What is the fourth angle (in degrees)?
  37. 37.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  38. 38.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 40° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. West
  2. 70
  3. Acute
  4. North
  5. South
  6. West
  7. 65
  8. East
  9. 130
  10. 90
  11. 220
  12. 135
  13. 115
  14. North
  15. 60
  16. 180
  17. West
  18. 110
  19. Straight
  20. 30
  21. Acute
  22. 25
  23. 240
  24. East
  25. East
  26. 30
  27. 110
  28. Acute
  29. 80
  30. 90
  31. Obtuse
  32. 15
  33. 75
  34. 85
  35. 65
  36. 70
  37. Right
  38. 270
  39. 90
  40. 210

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