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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 825 · 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 East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  2. 2.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 80° and 65°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 60°, 30° and 220°. What is the fourth angle (in degrees)?
  5. 5.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  6. 6.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 10°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  8. 8.An angle measures 35°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  9. 9.Four angles meet at a point. Three of them are 50°, 30° and 170°. What is the fourth angle (in degrees)?
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.An angle measures 15°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  12. 12.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 30° and 25°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 100°, 50° and 150°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 80°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  16. 16.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 90° and 80°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 80°, 60° and 130°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 40°, 40° and 90°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  22. 22.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 30°, 40° and 220°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 55°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  25. 25.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  27. 27.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  28. 28.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 15° and 155°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 50° and 20°. What is the third angle (in degrees)?
  31. 31.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  32. 32.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  33. 33.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  34. 34.An angle measures 135°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  35. 35.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 25° and 40°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  38. 38.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  39. 39.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 100°, 100° and 90°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. 40
  3. 35
  4. 50
  5. South
  6. 20
  7. Acute
  8. Acute
  9. 110
  10. 90
  11. Acute
  12. 125
  13. 125
  14. 60
  15. Acute
  16. 10
  17. 100
  18. 90
  19. 90
  20. 190
  21. 330
  22. 90
  23. 70
  24. Acute
  25. 30
  26. 45
  27. West
  28. 36
  29. 10
  30. 110
  31. Acute
  32. 210
  33. Straight
  34. Obtuse
  35. 70
  36. 115
  37. 300
  38. West
  39. 270
  40. 70

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