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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 355 · 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 West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  2. 2.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  3. 3.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  4. 4.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  5. 5.Three angles together make a straight line. Two of them are 45° and 100°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 40°, 100° and 170°. What is the fourth angle (in degrees)?
  7. 7.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  8. 8.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  9. 9.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 30°, 30° and 270°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  13. 13.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  14. 14.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  15. 15.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  17. 17.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 25°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  19. 19.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  20. 20.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 70°, 100° and 110°. What is the fourth angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 40°, 90° and 150°. What is the fourth angle (in degrees)?
  23. 23.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  24. 24.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 20° and 130°. What is the third angle (in degrees)?
  26. 26.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  27. 27.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  29. 29.An angle measures 250°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  30. 30.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  31. 31.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  32. 32.An angle measures 30°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  33. 33.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 100°, 50° and 170°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 7 to 2. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 70°, 50° and 180°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?

Answer key

  1. South
  2. Right
  3. South
  4. North
  5. 35
  6. 50
  7. South
  8. 180
  9. 90
  10. 30
  11. 240
  12. 85
  13. 36
  14. North
  15. 180
  16. 150
  17. 60
  18. Acute
  19. South
  20. 155
  21. 80
  22. 80
  23. West
  24. 60
  25. 30
  26. Straight
  27. 30
  28. North
  29. Reflex
  30. 180
  31. 18
  32. Acute
  33. 15
  34. 40
  35. 40
  36. 240
  37. 210
  38. 60
  39. 270
  40. 60

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