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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 281 · 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 90°, 50° and 190°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  3. 3.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  4. 4.Three angles together make a straight line. Two of them are 20° and 10°. What is the third angle (in degrees)?
  5. 5.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  6. 6.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  8. 8.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  10. 10.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 35° and 120°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 70°, 80° and 30°. What is the fourth angle (in degrees)?
  15. 15.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  16. 16.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  17. 17.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  18. 18.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  19. 19.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  20. 20.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  21. 21.Four angles meet at a point. Three of them are 70°, 40° and 30°. What is the fourth angle (in degrees)?
  22. 22.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  23. 23.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  24. 24.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  25. 25.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  26. 26.Three angles together make a straight line. Two of them are 65° and 25°. What is the third angle (in degrees)?
  27. 27.An angle measures 215°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  28. 28.Three angles together make a straight line. Two of them are 80° and 40°. What is the third angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  30. 30.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  31. 31.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 30° and 25°. What is the third angle (in degrees)?
  33. 33.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  34. 34.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 80°, 50° and 40°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  37. 37.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 90°, 80° and 150°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 40°, 80° and 150°. What is the fourth angle (in degrees)?

Answer key

  1. 30
  2. 20
  3. South
  4. 150
  5. North
  6. 45
  7. 90
  8. 36
  9. Straight
  10. 30
  11. 330
  12. 25
  13. 40
  14. 180
  15. East
  16. Right
  17. 70
  18. East
  19. 105
  20. East
  21. 220
  22. South
  23. South
  24. 10
  25. South
  26. 90
  27. Reflex
  28. 60
  29. 240
  30. West
  31. 72
  32. 125
  33. East
  34. 90
  35. 190
  36. 180
  37. 15
  38. 40
  39. 70
  40. 90

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