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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 42 · 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 6 equal angles. How big is each angle (in degrees)?
  2. 2.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  3. 3.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  4. 4.Four angles meet at a point. Three of them are 90°, 50° and 120°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 70°, 70° and 50°. What is the fourth angle (in degrees)?
  6. 6.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  9. 9.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  10. 10.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  12. 12.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  13. 13.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  14. 14.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  15. 15.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  16. 16.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  17. 17.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  18. 18.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  19. 19.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  20. 20.Three angles together make a straight line. Two of them are 10° and 70°. What is the third angle (in degrees)?
  21. 21.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  22. 22.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  23. 23.Four angles meet at a point. Three of them are 40°, 60° and 60°. What is the fourth angle (in degrees)?
  24. 24.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 60° and 105°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 100°, 100° and 90°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  30. 30.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 80° and 70°. What is the third angle (in degrees)?
  32. 32.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  33. 33.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  34. 34.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  35. 35.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  36. 36.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 50° and 65°. What is the third angle (in degrees)?
  38. 38.An angle measures 55°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  39. 39.Four angles meet at a point. Three of them are 100°, 50° and 120°. What is the fourth angle (in degrees)?
  40. 40.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?

Answer key

  1. 30
  2. South
  3. South
  4. 100
  5. 170
  6. 40
  7. 95
  8. Straight
  9. East
  10. 65
  11. 180
  12. 45
  13. South
  14. 270
  15. Right
  16. West
  17. West
  18. 300
  19. North
  20. 100
  21. South
  22. East
  23. 200
  24. 90
  25. 15
  26. 30
  27. 70
  28. 65
  29. 18
  30. 45
  31. 30
  32. South
  33. South
  34. Obtuse
  35. East
  36. 60
  37. 65
  38. Acute
  39. 90
  40. 90

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