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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 747 · 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.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  2. 2.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  3. 3.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  4. 4.Four angles meet at a point. Three of them are 80°, 40° and 120°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  6. 6.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  7. 7.Four angles meet at a point. Three of them are 70°, 50° and 70°. What is the fourth angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 30°, 30° and 50°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  10. 10.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  11. 11.Three angles together make a straight line. Two of them are 90° and 75°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 90° and 70°. What is the third angle (in degrees)?
  13. 13.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  14. 14.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  15. 15.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  16. 16.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 80°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  18. 18.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 70°, 70° and 50°. What is the fourth angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  21. 21.An angle measures 135°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  22. 22.An angle measures 60°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  23. 23.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  24. 24.Four angles meet at a point. Three of them are 80°, 100° and 170°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  26. 26.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  27. 27.An angle measures 240°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  28. 28.An angle measures 105°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  29. 29.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  30. 30.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  31. 31.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  32. 32.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 90°, 100° and 80°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 90°, 60° and 70°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  36. 36.An angle measures 15°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  37. 37.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  38. 38.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  39. 39.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  40. 40.An angle measures 235°. What kind of angle is it? (a) Reflex (b) Right (c) Acute

Answer key

  1. East
  2. 15
  3. South
  4. 120
  5. 210
  6. 30
  7. 170
  8. 250
  9. 35
  10. West
  11. 15
  12. 20
  13. South
  14. 90
  15. West
  16. 20
  17. Acute
  18. 18
  19. 170
  20. 30
  21. Obtuse
  22. Acute
  23. Obtuse
  24. 10
  25. 90
  26. 30
  27. Reflex
  28. Obtuse
  29. Right
  30. 60
  31. North
  32. 30
  33. 90
  34. 140
  35. 15
  36. Acute
  37. 30
  38. North
  39. West
  40. Reflex

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