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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 394 · 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 4 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) West (d) South
  3. 3.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  4. 4.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  5. 5.Four angles meet at a point. Three of them are 60°, 50° and 180°. What is the fourth angle (in degrees)?
  6. 6.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  7. 7.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 60°, 40° and 120°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 40°, 30° and 270°. What is the fourth angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 60°, 80° and 80°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 50°, 50° and 250°. What is the fourth angle (in degrees)?
  14. 14.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 35°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  16. 16.Three angles together make a straight line. Two of them are 30° and 40°. What is the third angle (in degrees)?
  17. 17.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  18. 18.Three angles together make a straight line. Two of them are 60° and 70°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  21. 21.An angle measures 305°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  22. 22.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 10° and 70°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 60° and 45°. What is the third angle (in degrees)?
  30. 30.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 60°, 30° and 230°. What is the fourth angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  33. 33.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  34. 34.An angle measures 160°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  35. 35.An angle measures 285°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  36. 36.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  37. 37.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  39. 39.An angle measures 195°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  40. 40.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East

Answer key

  1. 45
  2. South
  3. 40
  4. Straight
  5. 70
  6. West
  7. 20
  8. 140
  9. 70
  10. 60
  11. 20
  12. 140
  13. 10
  14. 72
  15. Acute
  16. 110
  17. North
  18. 50
  19. 30
  20. 70
  21. Reflex
  22. 90
  23. 270
  24. 120
  25. 50
  26. 100
  27. 30
  28. 30
  29. 75
  30. 90
  31. 40
  32. East
  33. 240
  34. Obtuse
  35. Reflex
  36. East
  37. 30
  38. 85
  39. Reflex
  40. West

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