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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 500 · 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.Three angles together make a straight line. Two of them are 55° and 60°. What is the third angle (in degrees)?
  2. 2.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  3. 3.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  4. 4.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 20° and 100°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  7. 7.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  8. 8.Four angles meet at a point. Three of them are 60°, 50° and 200°. What is the fourth angle (in degrees)?
  9. 9.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 30° and 125°. What is the third angle (in degrees)?
  14. 14.An angle measures 330°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  15. 15.Four angles meet at a point. Three of them are 40°, 80° and 80°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 40°, 80° and 100°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 20° and 70°. What is the third angle (in degrees)?
  18. 18.An angle measures 155°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  19. 19.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  21. 21.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  22. 22.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  23. 23.Four angles meet at a point. Three of them are 60°, 100° and 40°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 30°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  25. 25.Three angles together make a straight line. Two of them are 45° and 115°. What is the third angle (in degrees)?
  26. 26.An angle measures 325°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  27. 27.Three angles together make a straight line. Two of them are 20° and 90°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 70°, 50° and 200°. What is the fourth angle (in degrees)?
  29. 29.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  30. 30.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 15° and 130°. What is the third angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 70°, 40° and 30°. What is the fourth angle (in degrees)?
  35. 35.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  36. 36.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  37. 37.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  38. 38.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  39. 39.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  40. 40.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?

Answer key

  1. 65
  2. East
  3. 210
  4. 240
  5. 60
  6. 45
  7. East
  8. 50
  9. 90
  10. 60
  11. 90
  12. 36
  13. 25
  14. Reflex
  15. 160
  16. 140
  17. 90
  18. Obtuse
  19. 72
  20. Right
  21. North
  22. North
  23. 160
  24. Acute
  25. 20
  26. Reflex
  27. 70
  28. 40
  29. West
  30. 60
  31. 270
  32. 90
  33. 35
  34. 220
  35. Obtuse
  36. 90
  37. South
  38. 180
  39. West
  40. 120

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