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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 776 · 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 55° and 105°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 30°, 40° and 60°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 60°, 100° and 70°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  6. 6.Four angles meet at a point. Three of them are 50°, 60° and 140°. What is the fourth angle (in degrees)?
  7. 7.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  8. 8.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  9. 9.Four angles meet at a point. Three of them are 50°, 80° and 70°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  12. 12.An angle measures 175°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  13. 13.Four angles meet at a point. Three of them are 50°, 30° and 220°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  17. 17.Four angles meet at a point. Three of them are 100°, 70° and 40°. What is the fourth angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 40°, 90° and 160°. What is the fourth angle (in degrees)?
  20. 20.An angle measures 105°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  21. 21.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  22. 22.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 10° and 110°. What is the third angle (in degrees)?
  26. 26.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 50° and 115°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 30°, 50° and 220°. What is the fourth angle (in degrees)?
  29. 29.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  30. 30.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  31. 31.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  32. 32.An angle measures 135°. 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 90° and 40°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  36. 36.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 80°, 100° and 140°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 50° and 110°. What is the third angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 30° and 55°. What is the third angle (in degrees)?
  40. 40.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East

Answer key

  1. 20
  2. 230
  3. 130
  4. 75
  5. Right
  6. 110
  7. 40
  8. West
  9. 160
  10. 30
  11. Straight
  12. Obtuse
  13. 60
  14. 125
  15. 60
  16. 300
  17. 150
  18. 40
  19. 70
  20. Obtuse
  21. Obtuse
  22. 30
  23. 330
  24. 60
  25. 60
  26. 72
  27. 15
  28. 60
  29. South
  30. 36
  31. North
  32. Obtuse
  33. 50
  34. 30
  35. 60
  36. 20
  37. 40
  38. 20
  39. 95
  40. West

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