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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 362 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 205°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  3. 3.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  4. 4.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  5. 5.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  8. 8.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  9. 9.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  10. 10.The minute hand of a clock turns clockwise from 7 to 3. How many degrees does it turn?
  11. 11.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  12. 12.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  13. 13.Three angles together make a straight line. Two of them are 40° and 75°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  16. 16.An angle measures 65°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  17. 17.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  19. 19.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  20. 20.Four angles meet at a point. Three of them are 40°, 100° and 30°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 70°, 40° and 100°. What is the fourth angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 60° and 25°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 40°, 30° and 160°. What is the fourth angle (in degrees)?
  27. 27.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  28. 28.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
  30. 30.An angle measures 35°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  31. 31.Four angles meet at a point. Three of them are 50°, 60° and 50°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 70° and 75°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 70°, 100° and 80°. What is the fourth angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 85° and 85°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 70° and 55°. What is the third angle (in degrees)?
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 30° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. 72
  2. Reflex
  3. 150
  4. South
  5. 60
  6. 36
  7. 120
  8. East
  9. North
  10. 240
  11. East
  12. 300
  13. 65
  14. 20
  15. 70
  16. Acute
  17. 90
  18. 55
  19. South
  20. 190
  21. 90
  22. 150
  23. 330
  24. 180
  25. 95
  26. 130
  27. North
  28. 36
  29. 100
  30. Acute
  31. 200
  32. 35
  33. 30
  34. 35
  35. 95
  36. 110
  37. 10
  38. 55
  39. 90
  40. 220

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