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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 411 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 50° and 45°. What is the third angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  4. 4.An angle measures 335°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  5. 5.Four angles meet at a point. Three of them are 80°, 60° and 60°. What is the fourth angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 50°, 60° and 170°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  8. 8.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  9. 9.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 10° and 65°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  12. 12.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  13. 13.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  14. 14.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  15. 15.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  16. 16.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  20. 20.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  21. 21.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  22. 22.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  23. 23.Four angles meet at a point. Three of them are 50°, 40° and 160°. What is the fourth angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 80°, 40° and 210°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  26. 26.An angle measures 105°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  27. 27.Four angles meet at a point. Three of them are 70°, 50° and 40°. What is the fourth angle (in degrees)?
  28. 28.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  29. 29.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  30. 30.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 50°, 70° and 220°. What is the fourth angle (in degrees)?
  32. 32.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  33. 33.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  36. 36.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  37. 37.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  38. 38.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  39. 39.Three angles together make a straight line. Two of them are 45° and 25°. What is the third angle (in degrees)?
  40. 40.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North

Answer key

  1. 60
  2. 85
  3. South
  4. Reflex
  5. 160
  6. 80
  7. Straight
  8. Right
  9. 36
  10. 105
  11. 40
  12. 45
  13. 30
  14. 90
  15. West
  16. 90
  17. 10
  18. 65
  19. 150
  20. West
  21. 150
  22. East
  23. 110
  24. 30
  25. 120
  26. Obtuse
  27. 200
  28. North
  29. South
  30. 300
  31. 20
  32. South
  33. 25
  34. 120
  35. 240
  36. 15
  37. North
  38. 270
  39. 110
  40. East

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