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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 913 · 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 West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  2. 2.Three angles together make a straight line. Two of them are 50° and 95°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 60°, 70° and 120°. What is the fourth angle (in degrees)?
  4. 4.An angle measures 115°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  5. 5.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  6. 6.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 90°, 80° and 160°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  9. 9.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  10. 10.Three angles together make a straight line. Two of them are 60° and 15°. What is the third angle (in degrees)?
  11. 11.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  12. 12.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 85°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  14. 14.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  15. 15.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  16. 16.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  17. 17.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  18. 18.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  19. 19.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  20. 20.Three angles together make a straight line. Two of them are 90° and 70°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 20° and 145°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 15° and 105°. What is the third angle (in degrees)?
  25. 25.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  26. 26.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 40° and 100°. What is the third angle (in degrees)?
  28. 28.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  29. 29.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 70°, 70° and 30°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  32. 32.An angle measures 210°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  33. 33.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  34. 34.You face East and turn clockwise through 180°. 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 15° and 150°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 80° and 80°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North

Answer key

  1. East
  2. 35
  3. 110
  4. Obtuse
  5. 30
  6. 72
  7. 30
  8. 155
  9. South
  10. 105
  11. Straight
  12. 40
  13. Acute
  14. Right
  15. 36
  16. North
  17. North
  18. 120
  19. East
  20. 20
  21. 85
  22. 210
  23. 15
  24. 60
  25. East
  26. 36
  27. 40
  28. South
  29. 15
  30. 190
  31. 60
  32. Reflex
  33. 150
  34. West
  35. 15
  36. 90
  37. 20
  38. 180
  39. 90
  40. East

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