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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 121 · 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.Four angles meet at a point. Three of them are 80°, 80° and 40°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  3. 3.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?
  5. 5.An angle measures 165°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  6. 6.An angle measures 175°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  7. 7.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  8. 8.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  9. 9.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  10. 10.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  11. 11.An angle measures 110°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  12. 12.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  13. 13.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  14. 14.Four angles meet at a point. Three of them are 70°, 90° and 180°. What is the fourth angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  19. 19.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  20. 20.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  21. 21.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  22. 22.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  23. 23.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  24. 24.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  25. 25.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  27. 27.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  28. 28.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  29. 29.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  30. 30.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  31. 31.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  32. 32.Three angles together make a straight line. Two of them are 55° and 15°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 40° and 80°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  36. 36.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  37. 37.An angle measures 330°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  38. 38.An angle measures 285°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  39. 39.Three angles together make a straight line. Two of them are 10° and 35°. What is the third angle (in degrees)?
  40. 40.An angle measures 270°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex

Answer key

  1. 160
  2. 30
  3. 40
  4. 95
  5. Obtuse
  6. Obtuse
  7. 270
  8. 15
  9. East
  10. 240
  11. Obtuse
  12. 30
  13. South
  14. 20
  15. 90
  16. 145
  17. 90
  18. 30
  19. South
  20. 60
  21. West
  22. 75
  23. South
  24. 60
  25. 45
  26. East
  27. 210
  28. 18
  29. North
  30. Straight
  31. Right
  32. 110
  33. 60
  34. 90
  35. 180
  36. East
  37. Reflex
  38. Reflex
  39. 135
  40. Reflex

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