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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 591 · 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.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  3. 3.Four angles meet at a point. Three of them are 100°, 40° and 120°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  5. 5.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  6. 6.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  7. 7.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 95° and 45°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 70°, 80° and 130°. What is the fourth angle (in degrees)?
  10. 10.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  11. 11.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  12. 12.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  13. 13.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 20° and 100°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  16. 16.An angle measures 20°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  17. 17.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  18. 18.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  19. 19.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  22. 22.Three angles together make a straight line. Two of them are 90° and 75°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 15° and 130°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 45° and 35°. What is the third angle (in degrees)?
  25. 25.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  26. 26.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  27. 27.Four angles meet at a point. Three of them are 40°, 50° and 170°. What is the fourth angle (in degrees)?
  28. 28.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  29. 29.Three angles together make a straight line. Two of them are 70° and 15°. What is the third angle (in degrees)?
  30. 30.An angle measures 220°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  31. 31.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  32. 32.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  33. 33.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  34. 34.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  36. 36.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  37. 37.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  38. 38.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  39. 39.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  40. 40.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. 90
  2. 210
  3. 100
  4. 70
  5. East
  6. 30
  7. 36
  8. 40
  9. 80
  10. West
  11. 330
  12. North
  13. 270
  14. 60
  15. 180
  16. Acute
  17. 150
  18. South
  19. 45
  20. 120
  21. North
  22. 15
  23. 35
  24. 100
  25. West
  26. South
  27. 100
  28. East
  29. 95
  30. Reflex
  31. South
  32. 210
  33. East
  34. 90
  35. 60
  36. South
  37. Straight
  38. West
  39. 18
  40. 30

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