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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 706 · 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 9 equal angles. How big is each angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  3. 3.An angle measures 55°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  4. 4.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  5. 5.An angle measures 95°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  6. 6.Four angles meet at a point. Three of them are 40°, 90° and 30°. What is the fourth angle (in degrees)?
  7. 7.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  8. 8.Four angles meet at a point. Three of them are 40°, 90° and 100°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  10. 10.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 80°, 80° and 60°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  13. 13.An angle measures 180°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  14. 14.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  15. 15.An angle measures 300°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  16. 16.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 55° and 115°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 40°, 60° and 150°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 100° and 40°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 60°, 30° and 100°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 15° and 125°. What is the third angle (in degrees)?
  23. 23.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  24. 24.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  25. 25.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  26. 26.Three angles together make a straight line. Two of them are 60° and 70°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 50° and 50°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 40°, 50° and 250°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 90° and 75°. What is the third angle (in degrees)?
  30. 30.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  31. 31.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  32. 32.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  33. 33.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 40°, 60° and 190°. What is the fourth angle (in degrees)?
  36. 36.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  37. 37.An angle measures 345°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  38. 38.Four angles meet at a point. Three of them are 100°, 70° and 40°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 70°, 60° and 190°. What is the fourth angle (in degrees)?

Answer key

  1. 40
  2. 300
  3. Acute
  4. North
  5. Obtuse
  6. 200
  7. South
  8. 130
  9. 120
  10. 120
  11. 140
  12. 60
  13. Straight
  14. 30
  15. Reflex
  16. 300
  17. 10
  18. 110
  19. 40
  20. 170
  21. 95
  22. 40
  23. Right
  24. 120
  25. West
  26. 50
  27. 220
  28. 20
  29. 15
  30. 60
  31. East
  32. East
  33. 45
  34. 210
  35. 70
  36. East
  37. Reflex
  38. 150
  39. 240
  40. 40

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