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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 663 · 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 East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  2. 2.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  3. 3.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  4. 4.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  5. 5.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  7. 7.Three angles together make a straight line. Two of them are 15° and 130°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?
  9. 9.An angle measures 70°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  10. 10.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  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.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  14. 14.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  15. 15.An angle measures 10°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  16. 16.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  17. 17.Four angles meet at a point. Three of them are 30°, 50° and 250°. What is the fourth angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  21. 21.An angle measures 25°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  22. 22.An angle measures 20°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  23. 23.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  26. 26.An angle measures 100°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  27. 27.Four angles meet at a point. Three of them are 100°, 50° and 70°. What is the fourth angle (in degrees)?
  28. 28.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  29. 29.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  30. 30.An angle measures 35°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  31. 31.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  32. 32.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  34. 34.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  35. 35.Three angles together make a straight line. Two of them are 35° and 100°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 55° and 100°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 9 to 1. How many degrees does it turn?
  39. 39.Four angles meet at a point. Three of them are 60°, 100° and 180°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 70° and 40°. What is the third angle (in degrees)?

Answer key

  1. North
  2. East
  3. 60
  4. 90
  5. 45
  6. Straight
  7. 35
  8. 190
  9. Acute
  10. 18
  11. East
  12. 25
  13. East
  14. South
  15. Acute
  16. 300
  17. 30
  18. 25
  19. 100
  20. 120
  21. Acute
  22. Acute
  23. 150
  24. 60
  25. 330
  26. Obtuse
  27. 140
  28. East
  29. 300
  30. Acute
  31. South
  32. 45
  33. 180
  34. West
  35. 45
  36. 25
  37. 300
  38. 120
  39. 20
  40. 70

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