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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 181 · 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.

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  1. 1.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  2. 2.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 75° and 45°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 70°, 40° and 120°. What is the fourth angle (in degrees)?
  6. 6.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  7. 7.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  8. 8.An angle measures 75°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  9. 9.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  10. 10.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  12. 12.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  13. 13.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 50°, 90° and 130°. What is the fourth angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 30°, 50° and 200°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 85° and 85°. What is the third angle (in degrees)?
  18. 18.An angle measures 135°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  19. 19.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  20. 20.Four angles meet at a point. Three of them are 60°, 90° and 170°. What is the fourth angle (in degrees)?
  21. 21.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  22. 22.Four angles meet at a point. Three of them are 100°, 50° and 60°. What is the fourth angle (in degrees)?
  23. 23.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  24. 24.Four angles meet at a point. Three of them are 80°, 30° and 210°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.An angle measures 275°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  27. 27.Three angles together make a straight line. Two of them are 45° and 35°. What is the third angle (in degrees)?
  28. 28.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  29. 29.An angle measures 115°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  30. 30.Four angles meet at a point. Three of them are 40°, 100° and 180°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  32. 32.Three angles together make a straight line. Two of them are 60° and 40°. What is the third angle (in degrees)?
  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 100°, 70° and 150°. What is the fourth angle (in degrees)?
  35. 35.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  36. 36.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  37. 37.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  38. 38.Three angles together make a straight line. Two of them are 40° and 110°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 60°, 80° and 190°. What is the fourth angle (in degrees)?

Answer key

  1. 60
  2. 15
  3. 65
  4. 60
  5. 130
  6. South
  7. 60
  8. Acute
  9. 30
  10. 36
  11. 90
  12. 90
  13. 45
  14. 90
  15. 270
  16. 80
  17. 10
  18. Obtuse
  19. West
  20. 40
  21. East
  22. 150
  23. North
  24. 40
  25. 36
  26. Reflex
  27. 100
  28. 30
  29. Obtuse
  30. 40
  31. Obtuse
  32. 80
  33. 60
  34. 40
  35. West
  36. Right
  37. Straight
  38. 30
  39. 30
  40. 30

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