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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 496 · 40 sums
TalentJR

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 North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  2. 2.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 100°, 30° and 40°. What is the fourth angle (in degrees)?
  4. 4.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  6. 6.An angle measures 50°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  7. 7.An angle measures 45°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  8. 8.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  11. 11.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  12. 12.Four angles meet at a point. Three of them are 80°, 70° and 180°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 50°, 70° and 70°. What is the fourth angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 40°, 80° and 60°. What is the fourth angle (in degrees)?
  18. 18.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  19. 19.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  20. 20.An angle measures 5°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  21. 21.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  22. 22.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  23. 23.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  24. 24.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 50°, 30° and 80°. What is the fourth angle (in degrees)?
  28. 28.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  29. 29.Four angles meet at a point. Three of them are 40°, 50° and 70°. What is the fourth angle (in degrees)?
  30. 30.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 55° and 45°. What is the third angle (in degrees)?
  32. 32.An angle measures 95°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  33. 33.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  34. 34.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 50° and 110°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 60° and 20°. What is the third angle (in degrees)?
  37. 37.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  38. 38.Four angles meet at a point. Three of them are 100°, 100° and 100°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 75°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  40. 40.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?

Answer key

  1. South
  2. 125
  3. 190
  4. 18
  5. 40
  6. Acute
  7. Acute
  8. 85
  9. 210
  10. 300
  11. Straight
  12. 30
  13. 120
  14. 35
  15. 60
  16. 170
  17. 180
  18. North
  19. 180
  20. Acute
  21. 35
  22. Obtuse
  23. 45
  24. 20
  25. 65
  26. 60
  27. 200
  28. West
  29. 200
  30. 15
  31. 80
  32. Obtuse
  33. West
  34. 115
  35. 20
  36. 100
  37. Right
  38. 60
  39. Acute
  40. 90

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