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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 55 · 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.Three angles together make a straight line. Two of them are 75° and 20°. What is the third angle (in degrees)?
  2. 2.An angle measures 290°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  3. 3.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  4. 4.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  5. 5.Four angles meet at a point. Three of them are 30°, 50° and 80°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 45°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  7. 7.An angle measures 30°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  8. 8.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  12. 12.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  13. 13.An angle measures 165°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  14. 14.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  16. 16.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  18. 18.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  19. 19.An angle measures 125°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  20. 20.An angle measures 50°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  21. 21.Four angles meet at a point. Three of them are 60°, 60° and 160°. What is the fourth angle (in degrees)?
  22. 22.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  23. 23.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 100° and 70°. What is the third angle (in degrees)?
  25. 25.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 95° and 55°. What is the third angle (in degrees)?
  27. 27.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  28. 28.An angle measures 105°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  29. 29.An angle measures 210°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  30. 30.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 15° and 100°. What is the third angle (in degrees)?
  33. 33.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 80°, 30° and 180°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 40°, 90° and 140°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 90°, 50° and 150°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  39. 39.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?

Answer key

  1. 85
  2. Reflex
  3. 150
  4. 210
  5. 200
  6. Acute
  7. Acute
  8. North
  9. South
  10. 90
  11. East
  12. Straight
  13. Obtuse
  14. 120
  15. 90
  16. 40
  17. Right
  18. 115
  19. Obtuse
  20. Acute
  21. 80
  22. South
  23. 30
  24. 10
  25. 20
  26. 30
  27. South
  28. Obtuse
  29. Reflex
  30. 30
  31. 30
  32. 65
  33. 90
  34. 70
  35. 90
  36. 120
  37. 70
  38. 55
  39. 60
  40. 90

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