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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 224 · 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 10 equal angles. How big is each angle (in degrees)?
  2. 2.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 75° and 35°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 60°, 30° and 80°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 30° and 55°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 90°, 70° and 150°. What is the fourth angle (in degrees)?
  8. 8.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  9. 9.Four angles meet at a point. Three of them are 30°, 30° and 210°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  11. 11.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  12. 12.An angle measures 35°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  13. 13.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  14. 14.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 155°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  16. 16.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  17. 17.An angle measures 295°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  18. 18.The minute hand of a clock turns clockwise from 7 to 1. How many degrees does it turn?
  19. 19.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  21. 21.Three angles together make a straight line. Two of them are 100° and 60°. What is the third 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 50°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  24. 24.An angle measures 120°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  25. 25.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  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 50°, 30° and 210°. What is the fourth angle (in degrees)?
  28. 28.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  29. 29.Four angles meet at a point. Three of them are 30°, 60° and 150°. What is the fourth angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  31. 31.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  32. 32.Three angles together make a straight line. Two of them are 85° and 55°. What is the third angle (in degrees)?
  33. 33.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 80°, 60° and 150°. What is the fourth angle (in degrees)?
  35. 35.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  36. 36.Four angles meet at a point. Three of them are 40°, 100° and 150°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  38. 38.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  39. 39.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 100°, 30° and 200°. What is the fourth angle (in degrees)?

Answer key

  1. 18
  2. 20
  3. 70
  4. 190
  5. 95
  6. 72
  7. 50
  8. South
  9. 90
  10. 300
  11. East
  12. Acute
  13. North
  14. 60
  15. Obtuse
  16. 240
  17. Reflex
  18. 180
  19. 90
  20. Right
  21. 20
  22. East
  23. Acute
  24. Obtuse
  25. 36
  26. 50
  27. 70
  28. West
  29. 120
  30. East
  31. South
  32. 40
  33. 30
  34. 70
  35. Straight
  36. 70
  37. 330
  38. 150
  39. 115
  40. 30

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