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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 156 · 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.

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  1. 1.Three angles together make a straight line. Two of them are 35° and 80°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  3. 3.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  4. 4.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Acute (c) Reflex
  5. 5.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  6. 6.Four angles meet at a point. Three of them are 40°, 90° and 110°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  9. 9.Four angles meet at a point. Three of them are 90°, 30° and 160°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 100°, 70° and 90°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  14. 14.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  15. 15.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  16. 16.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  17. 17.Four angles meet at a point. Three of them are 30°, 100° and 90°. What is the fourth angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 80°, 30° and 160°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 10°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  20. 20.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 55° and 90°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 50°, 30° and 150°. What is the fourth angle (in degrees)?
  24. 24.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  26. 26.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  27. 27.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  28. 28.Four angles meet at a point. Three of them are 80°, 50° and 160°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 90°, 30° and 30°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 70° and 95°. What is the third angle (in degrees)?
  32. 32.An angle measures 130°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  33. 33.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  34. 34.Four angles meet at a point. Three of them are 70°, 40° and 200°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 95° and 65°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  39. 39.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  40. 40.Four angles meet at a point. Three of them are 40°, 60° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. 65
  2. 60
  3. North
  4. Acute
  5. South
  6. 120
  7. 65
  8. 60
  9. 80
  10. 75
  11. 15
  12. 100
  13. 30
  14. 45
  15. 36
  16. South
  17. 140
  18. 90
  19. Acute
  20. South
  21. 30
  22. 35
  23. 130
  24. 90
  25. 20
  26. 90
  27. South
  28. 70
  29. 330
  30. 210
  31. 15
  32. Obtuse
  33. Straight
  34. 50
  35. 30
  36. 150
  37. 20
  38. 90
  39. East
  40. 190

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