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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 41 · 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 full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 30°, 30° and 50°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  4. 4.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  6. 6.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  8. 8.Four angles meet at a point. Three of them are 30°, 50° and 230°. What is the fourth angle (in degrees)?
  9. 9.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  10. 10.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  11. 11.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 80°, 40° and 160°. What is the fourth angle (in degrees)?
  13. 13.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 75°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  15. 15.Four angles meet at a point. Three of them are 40°, 50° and 180°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 50° and 40°. What is the fourth angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  18. 18.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  20. 20.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  21. 21.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  22. 22.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  23. 23.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  24. 24.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  25. 25.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  26. 26.Three angles together make a straight line. Two of them are 45° and 105°. What is the third angle (in degrees)?
  27. 27.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 30° and 220°. What is the fourth angle (in degrees)?
  29. 29.An angle measures 5°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  30. 30.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  31. 31.Four angles meet at a point. Three of them are 70°, 70° and 150°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 75° and 95°. What is the third angle (in degrees)?
  33. 33.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  34. 34.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 85° and 55°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 45° and 90°. What is the third angle (in degrees)?
  37. 37.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  38. 38.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  40. 40.Four angles meet at a point. Three of them are 40°, 70° and 140°. What is the fourth angle (in degrees)?

Answer key

  1. 36
  2. 250
  3. Straight
  4. 72
  5. Right
  6. 150
  7. 60
  8. 50
  9. 20
  10. West
  11. 30
  12. 80
  13. 15
  14. Acute
  15. 90
  16. 190
  17. 30
  18. 210
  19. 25
  20. 45
  21. 18
  22. West
  23. 300
  24. North
  25. West
  26. 30
  27. 60
  28. 20
  29. Acute
  30. South
  31. 70
  32. 10
  33. East
  34. 60
  35. 40
  36. 45
  37. South
  38. 36
  39. North
  40. 110

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