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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 760 · 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.Three angles together make a straight line. Two of them are 80° and 70°. What is the third angle (in degrees)?
  2. 2.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  3. 3.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  5. 5.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  6. 6.Three angles together make a straight line. Two of them are 10° and 125°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 40°, 50° and 70°. What is the fourth angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 40°, 70° and 80°. What is the fourth angle (in degrees)?
  9. 9.An angle measures 130°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  10. 10.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  13. 13.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 60° and 80°. What is the third angle (in degrees)?
  15. 15.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  16. 16.Three angles together make a straight line. Two of them are 15° and 155°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 60°, 40° and 240°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 30°, 50° and 160°. What is the fourth angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  21. 21.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 100°, 50° and 190°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 50°, 60° and 190°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  27. 27.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  28. 28.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 10° and 60°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 30° and 160°. What is the fourth angle (in degrees)?
  31. 31.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  32. 32.An angle measures 170°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  33. 33.Three angles together make a straight line. Two of them are 15° and 140°. What is the third angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 40°, 70° and 150°. What is the fourth angle (in degrees)?
  35. 35.An angle measures 135°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  36. 36.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
  37. 37.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  38. 38.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 70° and 10°. What is the third angle (in degrees)?
  40. 40.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. 30
  2. Right
  3. 60
  4. 240
  5. West
  6. 45
  7. 200
  8. 170
  9. Obtuse
  10. 18
  11. 90
  12. 90
  13. 40
  14. 40
  15. East
  16. 10
  17. 20
  18. 210
  19. 120
  20. 300
  21. 120
  22. 20
  23. 40
  24. 60
  25. 60
  26. 270
  27. South
  28. 270
  29. 110
  30. 130
  31. 45
  32. Obtuse
  33. 25
  34. 100
  35. Obtuse
  36. 90
  37. 120
  38. 36
  39. 100
  40. 30

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