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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 767 · 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.Four angles meet at a point. Three of them are 50°, 50° and 240°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 35°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  3. 3.Three angles together make a straight line. Two of them are 20° and 140°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 40°, 100° and 170°. What is the fourth angle (in degrees)?
  5. 5.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  6. 6.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  7. 7.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  8. 8.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 70°, 100° and 140°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 320°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  11. 11.Four angles meet at a point. Three of them are 40°, 30° and 280°. What is the fourth angle (in degrees)?
  12. 12.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  13. 13.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  14. 14.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  15. 15.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  16. 16.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 60°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  18. 18.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  19. 19.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 90°, 30° and 210°. What is the fourth angle (in degrees)?
  21. 21.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  23. 23.An angle measures 25°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  24. 24.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  26. 26.An angle measures 155°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  27. 27.Three angles together make a straight line. Two of them are 15° and 85°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 10° and 105°. What is the third angle (in degrees)?
  29. 29.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  30. 30.Four angles meet at a point. Three of them are 60°, 100° and 60°. What is the fourth angle (in degrees)?
  31. 31.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  32. 32.Four angles meet at a point. Three of them are 30°, 60° and 230°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 30°, 50° and 210°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  38. 38.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  39. 39.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?

Answer key

  1. 20
  2. Acute
  3. 20
  4. 50
  5. 36
  6. West
  7. 240
  8. 90
  9. 50
  10. Reflex
  11. 10
  12. South
  13. 115
  14. Straight
  15. 40
  16. 45
  17. Acute
  18. 120
  19. 18
  20. 30
  21. 36
  22. East
  23. Acute
  24. 72
  25. 45
  26. Obtuse
  27. 80
  28. 65
  29. South
  30. 140
  31. North
  32. 40
  33. 90
  34. 20
  35. 60
  36. 70
  37. 330
  38. West
  39. 90
  40. 210

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