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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 536 · 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 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  2. 2.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  3. 3.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 100° and 70°. What is the fourth angle (in degrees)?
  5. 5.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  6. 6.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  7. 7.An angle measures 275°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  8. 8.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  9. 9.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  11. 11.An angle measures 15°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  12. 12.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  13. 13.Three angles together make a straight line. Two of them are 70° and 10°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 50°, 30° and 70°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 100°, 40° and 190°. What is the fourth angle (in degrees)?
  17. 17.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  18. 18.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  19. 19.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 25° and 105°. What is the third angle (in degrees)?
  21. 21.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  22. 22.You face North and turn clockwise through 270°. 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 60°, 70° and 170°. What is the fourth angle (in degrees)?
  24. 24.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 100°, 90° and 150°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 25° and 20°. What is the third angle (in degrees)?
  28. 28.An angle measures 295°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  29. 29.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 90°, 40° and 120°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  32. 32.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  33. 33.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  34. 34.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  35. 35.An angle measures 145°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  36. 36.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  37. 37.Four angles meet at a point. Three of them are 70°, 30° and 180°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  39. 39.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  40. 40.Four angles meet at a point. Three of them are 90°, 30° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. 300
  3. 45
  4. 160
  5. 40
  6. West
  7. Reflex
  8. 15
  9. 72
  10. 120
  11. Acute
  12. North
  13. 100
  14. 120
  15. 210
  16. 30
  17. North
  18. East
  19. 330
  20. 50
  21. East
  22. West
  23. 60
  24. 90
  25. 25
  26. 20
  27. 135
  28. Reflex
  29. 270
  30. 110
  31. 90
  32. West
  33. 90
  34. 30
  35. Obtuse
  36. West
  37. 80
  38. 210
  39. South
  40. 170

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