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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 743 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Four angles meet at a point. Three of them are 100°, 60° and 100°. What is the fourth angle (in degrees)?
  2. 2.An angle measures 195°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  3. 3.An angle measures 35°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  4. 4.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 50° and 120°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 100°, 30° and 30°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  8. 8.Four angles meet at a point. Three of them are 30°, 80° and 100°. What is the fourth angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 100°, 50° and 70°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 15°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  11. 11.Four angles meet at a point. Three of them are 90°, 40° and 150°. What is the fourth angle (in degrees)?
  12. 12.An angle measures 105°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  13. 13.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  15. 15.Three angles together make a straight line. Two of them are 75° and 70°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 50° and 40°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 100°, 80° and 90°. What is the fourth angle (in degrees)?
  18. 18.You face East and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  19. 19.An angle measures 135°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  20. 20.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  21. 21.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  22. 22.Four angles meet at a point. Three of them are 30°, 30° and 290°. What is the fourth angle (in degrees)?
  23. 23.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  24. 24.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  25. 25.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  26. 26.The minute hand of a clock turns clockwise from 5 to 4. How many degrees does it turn?
  27. 27.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
  29. 29.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  30. 30.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  31. 31.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  32. 32.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  33. 33.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 30° and 50°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 15° and 125°. What is the third angle (in degrees)?
  38. 38.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?

Answer key

  1. 100
  2. Reflex
  3. Acute
  4. 90
  5. 10
  6. 200
  7. Straight
  8. 150
  9. 140
  10. Acute
  11. 80
  12. Obtuse
  13. 30
  14. 270
  15. 35
  16. 90
  17. 90
  18. South
  19. Obtuse
  20. 150
  21. East
  22. 10
  23. 36
  24. 15
  25. West
  26. 330
  27. 45
  28. 300
  29. Obtuse
  30. 50
  31. West
  32. Right
  33. 60
  34. 190
  35. 65
  36. 105
  37. 40
  38. East
  39. 90
  40. 180

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