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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 882 · 40 sums
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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) West (b) South (c) East (d) North
  2. 2.An angle measures 175°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  3. 3.Four angles meet at a point. Three of them are 40°, 60° and 50°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  7. 7.Four angles meet at a point. Three of them are 70°, 60° and 30°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 145°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  12. 12.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 45° and 125°. What is the third angle (in degrees)?
  15. 15.An angle measures 30°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  16. 16.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  17. 17.Four angles meet at a point. Three of them are 40°, 90° and 100°. What is the fourth angle (in degrees)?
  18. 18.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  19. 19.Four angles meet at a point. Three of them are 100°, 80° and 70°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 40°, 30° and 30°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 100°, 100° and 40°. What is the fourth angle (in degrees)?
  22. 22.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  23. 23.Four angles meet at a point. Three of them are 40°, 60° and 70°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 20° and 20°. What is the third angle (in degrees)?
  25. 25.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  26. 26.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  27. 27.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  28. 28.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 80°, 40° and 130°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 100° and 20°. What is the third angle (in degrees)?
  34. 34.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  35. 35.Three angles together make a straight line. Two of them are 10° and 70°. What is the third angle (in degrees)?
  36. 36.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 50°, 80° and 110°. What is the fourth angle (in degrees)?
  39. 39.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?

Answer key

  1. East
  2. Obtuse
  3. 210
  4. 55
  5. 270
  6. 330
  7. 200
  8. 85
  9. 270
  10. 90
  11. Obtuse
  12. 36
  13. 30
  14. 10
  15. Acute
  16. East
  17. 130
  18. North
  19. 110
  20. 260
  21. 120
  22. South
  23. 190
  24. 140
  25. North
  26. Right
  27. North
  28. 115
  29. 110
  30. 90
  31. 210
  32. 270
  33. 60
  34. North
  35. 100
  36. 18
  37. 180
  38. 120
  39. 90
  40. 130

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