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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 54 · 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.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  2. 2.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  3. 3.Four angles meet at a point. Three of them are 50°, 90° and 130°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  5. 5.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  6. 6.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 40°, 40° and 170°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  10. 10.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  11. 11.An angle measures 295°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  12. 12.An angle measures 175°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  13. 13.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  16. 16.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  17. 17.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  18. 18.An angle measures 90°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  19. 19.An angle measures 60°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  20. 20.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  21. 21.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  22. 22.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 12 to 2. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 90° and 60°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 60°, 90° and 170°. What is the fourth angle (in degrees)?
  27. 27.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  28. 28.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  29. 29.An angle measures 45°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  30. 30.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  31. 31.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  32. 32.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  34. 34.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  35. 35.Four angles meet at a point. Three of them are 40°, 40° and 50°. What is the fourth angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 30°, 30° and 270°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 30° and 40°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  39. 39.Three angles together make a straight line. Two of them are 70° and 90°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 80°, 90° and 30°. What is the fourth angle (in degrees)?

Answer key

  1. 90
  2. East
  3. 90
  4. 155
  5. West
  6. 45
  7. 270
  8. 110
  9. 150
  10. Straight
  11. Reflex
  12. Obtuse
  13. 15
  14. 180
  15. 240
  16. South
  17. North
  18. Right
  19. Acute
  20. North
  21. East
  22. 115
  23. 60
  24. 60
  25. 30
  26. 40
  27. East
  28. 30
  29. Acute
  30. 72
  31. West
  32. 300
  33. 140
  34. South
  35. 230
  36. 30
  37. 220
  38. 180
  39. 20
  40. 160

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