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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 292 · 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 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  2. 2.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  4. 4.An angle measures 225°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  5. 5.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  6. 6.Four angles meet at a point. Three of them are 30°, 40° and 100°. What is the fourth angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  8. 8.An angle measures 70°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  9. 9.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  11. 11.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  12. 12.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  13. 13.Three angles together make a straight line. Two of them are 75° and 10°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 15° and 65°. What is the third angle (in degrees)?
  15. 15.A full turn (360°) is split into 4 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) North (b) East (c) South (d) West
  17. 17.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  19. 19.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  20. 20.Four angles meet at a point. Three of them are 30°, 30° and 80°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  22. 22.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.An angle measures 315°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  24. 24.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  25. 25.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  26. 26.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  27. 27.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 10° and 110°. What is the third angle (in degrees)?
  29. 29.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  30. 30.Three angles together make a straight line. Two of them are 45° and 115°. What is the third angle (in degrees)?
  31. 31.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  32. 32.An angle measures 55°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  33. 33.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 10° and 75°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 50°, 70° and 100°. What is the fourth angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 40°, 80° and 130°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?

Answer key

  1. North
  2. 90
  3. 100
  4. Reflex
  5. 180
  6. 190
  7. 180
  8. Acute
  9. 330
  10. 90
  11. South
  12. East
  13. 95
  14. 100
  15. 90
  16. North
  17. 60
  18. 150
  19. South
  20. 220
  21. 270
  22. 30
  23. Reflex
  24. South
  25. 20
  26. North
  27. 15
  28. 60
  29. West
  30. 20
  31. Right
  32. Acute
  33. 300
  34. 95
  35. 36
  36. 140
  37. 105
  38. 110
  39. 180
  40. 25

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