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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 390 · 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 80° and 50°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 100°, 50° and 40°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  4. 4.Three angles together make a straight line. Two of them are 80° and 20°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 30° and 105°. What is the third angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  7. 7.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  8. 8.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  9. 9.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  10. 10.Four angles meet at a point. Three of them are 100°, 100° and 120°. What is the fourth angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 30°, 70° and 160°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 95° and 25°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 90°, 80° and 140°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?
  16. 16.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  17. 17.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 235°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  19. 19.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  20. 20.An angle measures 25°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  21. 21.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  22. 22.Three angles together make a straight line. Two of them are 90° and 35°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  26. 26.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  27. 27.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  28. 28.An angle measures 5°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  29. 29.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  30. 30.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  33. 33.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  34. 34.Three angles together make a straight line. Two of them are 20° and 115°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 40°, 60° and 160°. What is the fourth angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 20° and 100°. What is the third angle (in degrees)?
  38. 38.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  39. 39.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 90°, 30° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. 50
  2. 170
  3. 270
  4. 80
  5. 45
  6. Right
  7. 15
  8. West
  9. South
  10. 40
  11. 55
  12. 100
  13. 60
  14. 50
  15. 25
  16. South
  17. 36
  18. Reflex
  19. 180
  20. Acute
  21. West
  22. 55
  23. 300
  24. 20
  25. 240
  26. 40
  27. East
  28. Acute
  29. South
  30. 75
  31. 330
  32. 120
  33. East
  34. 45
  35. 210
  36. 100
  37. 60
  38. South
  39. 120
  40. 170

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