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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 34 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 40°, 60° and 130°. What is the fourth angle (in degrees)?
  4. 4.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  5. 5.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  6. 6.Three angles together make a straight line. Two of them are 25° and 135°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 80°, 40° and 170°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 60°, 50° and 30°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 40° and 30°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 55° and 85°. What is the third angle (in degrees)?
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 185°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  15. 15.Four angles meet at a point. Three of them are 80°, 100° and 140°. What is the fourth angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 70° and 70°. What is the fourth angle (in degrees)?
  17. 17.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  18. 18.Four angles meet at a point. Three of them are 40°, 90° and 190°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 330°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  21. 21.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  22. 22.An angle measures 45°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 45° and 75°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 30°, 90° and 220°. What is the fourth angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 6 to 3. How many degrees does it turn?
  26. 26.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 12 to 9. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 30°, 50° and 200°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 90°, 60° and 180°. What is the fourth angle (in degrees)?
  30. 30.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  31. 31.An angle measures 205°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  32. 32.Three angles together make a straight line. Two of them are 70° and 60°. What is the third angle (in degrees)?
  33. 33.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  34. 34.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  35. 35.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 40° and 10°. What is the third angle (in degrees)?
  37. 37.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  38. 38.Four angles meet at a point. Three of them are 60°, 100° and 120°. What is the fourth angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 60°, 90° and 90°. What is the fourth angle (in degrees)?

Answer key

  1. 40
  2. 120
  3. 130
  4. East
  5. East
  6. 20
  7. 70
  8. 55
  9. 220
  10. 110
  11. 45
  12. 40
  13. 36
  14. Reflex
  15. 40
  16. 140
  17. South
  18. 40
  19. 30
  20. Reflex
  21. 270
  22. Acute
  23. 60
  24. 20
  25. 270
  26. 30
  27. 270
  28. 80
  29. 30
  30. East
  31. Reflex
  32. 50
  33. 90
  34. 45
  35. 15
  36. 130
  37. Straight
  38. 80
  39. 270
  40. 120

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