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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 27 · 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 70°, 70° and 30°. What is the fourth angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 100°, 50° and 130°. What is the fourth angle (in degrees)?
  3. 3.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  4. 4.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  5. 5.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 50°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  7. 7.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  8. 8.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  12. 12.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  14. 14.An angle measures 70°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  15. 15.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  16. 16.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  17. 17.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  18. 18.An angle measures 5°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 25° and 130°. What is the third angle (in degrees)?
  21. 21.An angle measures 55°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  22. 22.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  24. 24.An angle measures 305°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  25. 25.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  27. 27.An angle measures 45°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  28. 28.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  29. 29.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  31. 31.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 40°, 70° and 40°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 205°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  34. 34.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 40°, 30° and 230°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 50° and 50°. What is the third angle (in degrees)?
  37. 37.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  38. 38.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  40. 40.Four angles meet at a point. Three of them are 40°, 40° and 260°. What is the fourth angle (in degrees)?

Answer key

  1. 190
  2. 80
  3. South
  4. South
  5. 20
  6. Acute
  7. Straight
  8. 45
  9. 30
  10. 90
  11. 20
  12. 120
  13. 60
  14. Acute
  15. 210
  16. South
  17. West
  18. Acute
  19. 30
  20. 25
  21. Acute
  22. 60
  23. 20
  24. Reflex
  25. 125
  26. 150
  27. Acute
  28. West
  29. 40
  30. East
  31. 60
  32. 210
  33. Reflex
  34. 90
  35. 60
  36. 80
  37. West
  38. 36
  39. North
  40. 20

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