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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 682 · 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.Three angles together make a straight line. Two of them are 55° and 105°. What is the third angle (in degrees)?
  2. 2.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 100°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  4. 4.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  5. 5.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  7. 7.Four angles meet at a point. Three of them are 70°, 30° and 30°. What is the fourth angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 30°, 60° and 40°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  13. 13.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 50°, 50° and 180°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 100°, 60° and 50°. What is the fourth angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 90°, 80° and 120°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 70° and 90°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 70°, 90° and 90°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  23. 23.An angle measures 145°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  24. 24.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  25. 25.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  26. 26.Four angles meet at a point. Three of them are 70°, 40° and 90°. What is the fourth angle (in degrees)?
  27. 27.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  30. 30.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  31. 31.An angle measures 85°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  32. 32.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 30° and 15°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 90°, 90° and 40°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  38. 38.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  40. 40.Three angles together make a straight line. Two of them are 95° and 45°. What is the third angle (in degrees)?

Answer key

  1. 20
  2. 18
  3. Obtuse
  4. East
  5. 60
  6. 300
  7. 230
  8. 90
  9. 230
  10. 72
  11. 60
  12. East
  13. 240
  14. 270
  15. 80
  16. 35
  17. 150
  18. 70
  19. 20
  20. 110
  21. 210
  22. 180
  23. Obtuse
  24. 30
  25. North
  26. 160
  27. 45
  28. 240
  29. 240
  30. North
  31. Acute
  32. 20
  33. 135
  34. 180
  35. 140
  36. 85
  37. 270
  38. 60
  39. Straight
  40. 40

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