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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 978 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  3. 3.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  4. 4.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  5. 5.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 50°, 90° and 160°. What is the fourth angle (in degrees)?
  8. 8.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  9. 9.Four angles meet at a point. Three of them are 40°, 40° and 90°. 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.Three angles together make a straight line. Two of them are 25° and 40°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  13. 13.Four angles meet at a point. Three of them are 40°, 100° and 110°. What is the fourth angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  16. 16.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  17. 17.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  18. 18.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  19. 19.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  20. 20.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 30°, 40° and 30°. What is the fourth angle (in degrees)?
  22. 22.An angle measures 255°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  23. 23.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  24. 24.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  25. 25.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  26. 26.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  27. 27.An angle measures 190°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  28. 28.Four angles meet at a point. Three of them are 80°, 100° and 150°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  30. 30.An angle measures 110°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  31. 31.An angle measures 45°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  32. 32.Four angles meet at a point. Three of them are 30°, 30° and 200°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 90° and 40°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 30° and 30°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 20° and 55°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?

Answer key

  1. 72
  2. 330
  3. 45
  4. East
  5. 90
  6. 90
  7. 60
  8. East
  9. 190
  10. 90
  11. 115
  12. 300
  13. 110
  14. 150
  15. Right
  16. 270
  17. West
  18. 270
  19. East
  20. 30
  21. 260
  22. Reflex
  23. North
  24. North
  25. 115
  26. West
  27. Reflex
  28. 30
  29. 60
  30. Obtuse
  31. Acute
  32. 100
  33. 50
  34. 105
  35. 120
  36. 25
  37. 105
  38. 45
  39. 150
  40. 190

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