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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 999 · 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 South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  2. 2.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 30° and 115°. What is the third angle (in degrees)?
  4. 4.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  5. 5.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  10. 10.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  11. 11.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  12. 12.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  13. 13.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  14. 14.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  15. 15.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 100°, 90° and 40°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  18. 18.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  19. 19.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  21. 21.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 60°, 90° and 110°. What is the fourth angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 80°, 80° and 190°. What is the fourth angle (in degrees)?
  24. 24.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  25. 25.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 40° and 150°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  28. 28.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  29. 29.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  30. 30.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  31. 31.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  32. 32.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  33. 33.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  34. 34.An angle measures 40°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  35. 35.An angle measures 195°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  36. 36.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  37. 37.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  38. 38.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?

Answer key

  1. East
  2. 120
  3. 35
  4. North
  5. 18
  6. 60
  7. 270
  8. 90
  9. 180
  10. North
  11. West
  12. West
  13. East
  14. Straight
  15. 30
  16. 130
  17. 100
  18. Right
  19. 75
  20. 90
  21. 240
  22. 100
  23. 10
  24. 36
  25. 30
  26. 140
  27. 65
  28. 90
  29. 30
  30. North
  31. South
  32. West
  33. East
  34. Acute
  35. Reflex
  36. 30
  37. Obtuse
  38. 330
  39. 120
  40. 100

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