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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 171 · 40 sums
TalentJR

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 40° and 85°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 70°, 100° and 30°. What is the fourth angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  4. 4.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  5. 5.Three angles together make a straight line. Two of them are 25° and 90°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  7. 7.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  8. 8.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  9. 9.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 160°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  11. 11.Three angles together make a straight line. Two of them are 60° and 75°. What is the third angle (in degrees)?
  12. 12.An angle measures 135°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  13. 13.An angle measures 155°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  14. 14.Four angles meet at a point. Three of them are 100°, 60° and 150°. What is the fourth angle (in degrees)?
  15. 15.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  16. 16.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  17. 17.Four angles meet at a point. Three of them are 80°, 100° and 30°. What is the fourth angle (in degrees)?
  18. 18.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  19. 19.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  20. 20.Four angles meet at a point. Three of them are 80°, 60° and 80°. What is the fourth angle (in degrees)?
  21. 21.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 30°, 50° and 80°. What is the fourth angle (in degrees)?
  23. 23.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?
  25. 25.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  26. 26.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 20° and 60°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 15° and 80°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 50° and 15°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 30° and 90°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 50°, 70° and 140°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 90°, 30° and 70°. What is the fourth angle (in degrees)?
  34. 34.An angle measures 165°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  35. 35.An angle measures 80°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  36. 36.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  37. 37.Four angles meet at a point. Three of them are 50°, 80° and 100°. What is the fourth angle (in degrees)?
  38. 38.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 10° and 40°. What is the third angle (in degrees)?

Answer key

  1. 55
  2. 160
  3. West
  4. Right
  5. 65
  6. 75
  7. North
  8. 30
  9. 45
  10. Obtuse
  11. 45
  12. Obtuse
  13. Obtuse
  14. 50
  15. South
  16. East
  17. 150
  18. 18
  19. North
  20. 140
  21. 90
  22. 200
  23. 90
  24. 120
  25. South
  26. 120
  27. 100
  28. 90
  29. 85
  30. 115
  31. 60
  32. 100
  33. 170
  34. Obtuse
  35. Acute
  36. West
  37. 130
  38. 72
  39. 180
  40. 130

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