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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 492 · 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 90° and 50°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 70°, 100° and 140°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  4. 4.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  5. 5.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  6. 6.Four angles meet at a point. Three of them are 50°, 70° and 90°. What is the fourth angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 40°, 30° and 260°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 55° and 105°. What is the third angle (in degrees)?
  9. 9.An angle measures 260°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  10. 10.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  11. 11.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 30°, 50° and 180°. What is the fourth angle (in degrees)?
  13. 13.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  14. 14.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 90°, 90° and 90°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  17. 17.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  18. 18.Three angles together make a straight line. Two of them are 10° and 135°. What is the third angle (in degrees)?
  19. 19.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  20. 20.An angle measures 155°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  21. 21.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 4 to 12. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 70°, 40° and 80°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  25. 25.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  26. 26.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  27. 27.Three angles together make a straight line. Two of them are 85° and 75°. What is the third angle (in degrees)?
  28. 28.An angle measures 250°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  29. 29.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 60° and 40°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  32. 32.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  34. 34.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  35. 35.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  36. 36.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  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.Three angles together make a straight line. Two of them are 10° and 85°. What is the third angle (in degrees)?
  39. 39.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  40. 40.Four angles meet at a point. Three of them are 60°, 80° and 120°. What is the fourth angle (in degrees)?

Answer key

  1. 40
  2. 50
  3. 180
  4. South
  5. 180
  6. 150
  7. 30
  8. 20
  9. Reflex
  10. Right
  11. 125
  12. 100
  13. North
  14. 30
  15. 90
  16. 120
  17. Straight
  18. 35
  19. East
  20. Obtuse
  21. 15
  22. 240
  23. 170
  24. 180
  25. South
  26. East
  27. 20
  28. Reflex
  29. 72
  30. 230
  31. 30
  32. 40
  33. 150
  34. South
  35. 45
  36. East
  37. 130
  38. 85
  39. Obtuse
  40. 100

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