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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 809 · 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 East and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  2. 2.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  3. 3.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  4. 4.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  6. 6.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  7. 7.Four angles meet at a point. Three of them are 60°, 30° and 250°. What is the fourth angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 100°, 90° and 120°. What is the fourth angle (in degrees)?
  9. 9.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  10. 10.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 25° and 105°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 50°, 50° and 220°. What is the fourth angle (in degrees)?
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  15. 15.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  16. 16.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  17. 17.An angle measures 200°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  18. 18.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 100° and 15°. What is the third angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  21. 21.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  22. 22.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  23. 23.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  24. 24.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 65° and 35°. What is the third angle (in degrees)?
  26. 26.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  27. 27.Four angles meet at a point. Three of them are 30°, 30° and 80°. What is the fourth angle (in degrees)?
  28. 28.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  29. 29.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  30. 30.Four angles meet at a point. Three of them are 60°, 30° and 190°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 185°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  32. 32.Three angles together make a straight line. Two of them are 25° and 95°. What is the third angle (in degrees)?
  33. 33.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  34. 34.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  35. 35.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  36. 36.An angle measures 255°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  37. 37.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 30°, 30° and 280°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 35° and 25°. What is the third angle (in degrees)?
  40. 40.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East

Answer key

  1. West
  2. South
  3. East
  4. 60
  5. Right
  6. Straight
  7. 20
  8. 50
  9. 60
  10. 72
  11. 50
  12. 40
  13. 36
  14. 180
  15. Obtuse
  16. 210
  17. Reflex
  18. 90
  19. 65
  20. 300
  21. South
  22. 70
  23. 18
  24. 15
  25. 80
  26. West
  27. 220
  28. South
  29. West
  30. 80
  31. Reflex
  32. 60
  33. 120
  34. West
  35. 90
  36. Reflex
  37. 120
  38. 20
  39. 120
  40. East

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