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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 460 · 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 South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  2. 2.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  3. 3.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  5. 5.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  6. 6.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  7. 7.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 70°, 50° and 60°. What is the fourth angle (in degrees)?
  9. 9.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  10. 10.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  11. 11.An angle measures 130°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  12. 12.Three angles together make a straight line. Two of them are 30° and 125°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 65° and 90°. What is the third angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 40°, 60° and 210°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  18. 18.An angle measures 75°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  19. 19.An angle measures 145°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  20. 20.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  22. 22.An angle measures 40°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 30°, 40° and 200°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 70°, 100° and 50°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  28. 28.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  29. 29.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 80°, 90° and 30°. What is the fourth angle (in degrees)?
  32. 32.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  33. 33.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 80°, 60° and 170°. What is the fourth angle (in degrees)?
  36. 36.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  37. 37.An angle measures 165°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  38. 38.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?

Answer key

  1. West
  2. Straight
  3. 70
  4. 30
  5. East
  6. South
  7. 95
  8. 180
  9. South
  10. 270
  11. Obtuse
  12. 25
  13. 145
  14. 25
  15. 50
  16. 330
  17. 330
  18. Acute
  19. Obtuse
  20. 45
  21. 85
  22. Acute
  23. 70
  24. 90
  25. 45
  26. 140
  27. Right
  28. 150
  29. 40
  30. 240
  31. 160
  32. South
  33. 150
  34. 210
  35. 50
  36. 45
  37. Obtuse
  38. 36
  39. 120
  40. 140

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