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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 6 · 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.Four angles meet at a point. Three of them are 100°, 40° and 70°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 80°, 70° and 40°. What is the fourth angle (in degrees)?
  5. 5.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 50°, 60° and 160°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 5°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  8. 8.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.Four angles meet at a point. Three of them are 100°, 60° and 180°. What is the fourth angle (in degrees)?
  10. 10.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  11. 11.An angle measures 255°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  12. 12.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  13. 13.Three angles together make a straight line. Two of them are 25° and 130°. What is the third angle (in degrees)?
  14. 14.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  15. 15.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  16. 16.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  17. 17.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 15° and 15°. What is the third angle (in degrees)?
  19. 19.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  20. 20.An angle measures 60°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  21. 21.Four angles meet at a point. Three of them are 100°, 90° and 80°. What is the fourth angle (in degrees)?
  22. 22.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  25. 25.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  26. 26.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  28. 28.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  29. 29.Four angles meet at a point. Three of them are 60°, 50° and 200°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 30° and 30°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  32. 32.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  33. 33.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 40°, 70° and 140°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 60°, 70° and 200°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 50° and 40°. What is the fourth angle (in degrees)?

Answer key

  1. 150
  2. 65
  3. 90
  4. 170
  5. 20
  6. 90
  7. Acute
  8. South
  9. 20
  10. East
  11. Reflex
  12. West
  13. 25
  14. Right
  15. 10
  16. South
  17. 60
  18. 150
  19. East
  20. Acute
  21. 90
  22. 30
  23. 45
  24. 210
  25. 90
  26. 90
  27. 90
  28. Obtuse
  29. 50
  30. 260
  31. 300
  32. South
  33. 330
  34. 70
  35. 110
  36. 240
  37. 90
  38. 95
  39. 30
  40. 180

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