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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 71 · 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 90° and 30°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 70°, 90° and 30°. What is the fourth angle (in degrees)?
  3. 3.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  4. 4.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 40°, 60° and 210°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 50° and 80°. What is the third angle (in degrees)?
  7. 7.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  8. 8.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  9. 9.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  11. 11.Four angles meet at a point. Three of them are 30°, 90° and 150°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 20° and 145°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 30° and 220°. What is the fourth angle (in degrees)?
  14. 14.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 70° and 15°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?
  17. 17.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  18. 18.Four angles meet at a point. Three of them are 50°, 40° and 160°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 65°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  21. 21.Three angles together make a straight line. Two of them are 45° and 85°. What is the third angle (in degrees)?
  22. 22.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  23. 23.Three angles together make a straight line. Two of them are 15° and 150°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 80° and 170°. What is the fourth angle (in degrees)?
  25. 25.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  26. 26.An angle measures 290°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  27. 27.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  29. 29.Four angles meet at a point. Three of them are 30°, 100° and 130°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 60°, 70° and 80°. What is the fourth angle (in degrees)?
  31. 31.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  32. 32.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 25° and 35°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 60°, 100° and 90°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 65° and 60°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 90°, 50° and 190°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?

Answer key

  1. 60
  2. 170
  3. North
  4. 55
  5. 50
  6. 50
  7. West
  8. South
  9. 90
  10. North
  11. 90
  12. 15
  13. 80
  14. 36
  15. 95
  16. 190
  17. Straight
  18. 110
  19. 15
  20. Acute
  21. 50
  22. South
  23. 15
  24. 10
  25. 36
  26. Reflex
  27. 30
  28. East
  29. 100
  30. 150
  31. West
  32. 90
  33. 120
  34. 150
  35. 75
  36. 110
  37. 270
  38. 55
  39. 30
  40. 330

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