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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 712 · 40 sums
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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.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  3. 3.An angle measures 355°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  4. 4.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  5. 5.Four angles meet at a point. Three of them are 30°, 100° and 100°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 20° and 90°. What is the third angle (in degrees)?
  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°, 90° and 80°. What is the fourth angle (in degrees)?
  9. 9.An angle measures 335°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  10. 10.Four angles meet at a point. Three of them are 90°, 100° and 30°. What is the fourth angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 80°, 100° and 150°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 25° and 15°. What is the third angle (in degrees)?
  13. 13.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  14. 14.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  15. 15.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  16. 16.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 40°, 30° and 280°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  20. 20.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  21. 21.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  23. 23.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  24. 24.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 75° and 70°. What is the third angle (in degrees)?
  26. 26.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  27. 27.Three angles together make a straight line. Two of them are 100° and 70°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  31. 31.An angle measures 240°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  32. 32.Four angles meet at a point. Three of them are 70°, 30° and 70°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 35° and 85°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 100°, 40° and 210°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?
  39. 39.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 15° and 135°. What is the third angle (in degrees)?

Answer key

  1. 30
  2. 100
  3. Reflex
  4. 300
  5. 130
  6. 70
  7. 20
  8. 130
  9. Reflex
  10. 140
  11. 30
  12. 140
  13. 30
  14. North
  15. 150
  16. 180
  17. 115
  18. 10
  19. 25
  20. Straight
  21. 70
  22. 60
  23. 55
  24. 60
  25. 35
  26. East
  27. 10
  28. 75
  29. 90
  30. East
  31. Reflex
  32. 190
  33. 60
  34. 155
  35. 45
  36. 180
  37. 10
  38. 25
  39. 18
  40. 30

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