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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 330 · 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.Four angles meet at a point. Three of them are 40°, 50° and 130°. What is the fourth angle (in degrees)?
  2. 2.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 15° and 145°. What is the third angle (in degrees)?
  5. 5.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  6. 6.Three angles together make a straight line. Two of them are 25° and 125°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 100°, 30° and 70°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  9. 9.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  10. 10.Four angles meet at a point. Three of them are 70°, 30° and 140°. What is the fourth angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  12. 12.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  13. 13.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 50°, 80° and 80°. What is the fourth angle (in degrees)?
  15. 15.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  16. 16.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  17. 17.An angle measures 10°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  18. 18.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 30° and 95°. What is the third angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  21. 21.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  22. 22.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  23. 23.Four angles meet at a point. Three of them are 100°, 90° and 80°. What is the fourth angle (in degrees)?
  24. 24.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  25. 25.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 10° and 90°. What is the third angle (in degrees)?
  29. 29.An angle measures 125°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  30. 30.Three angles together make a straight line. Two of them are 55° and 55°. What is the third angle (in degrees)?
  31. 31.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  32. 32.Three angles together make a straight line. Two of them are 50° and 105°. 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.An angle measures 295°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  35. 35.Three angles together make a straight line. Two of them are 85° and 45°. What is the third angle (in degrees)?
  36. 36.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  37. 37.An angle measures 135°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  38. 38.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?

Answer key

  1. 140
  2. 30
  3. 15
  4. 20
  5. West
  6. 30
  7. 160
  8. 75
  9. West
  10. 120
  11. 30
  12. 30
  13. 72
  14. 150
  15. South
  16. North
  17. Acute
  18. 180
  19. 55
  20. 210
  21. East
  22. Straight
  23. 90
  24. South
  25. 15
  26. 90
  27. 150
  28. 80
  29. Obtuse
  30. 70
  31. East
  32. 25
  33. 90
  34. Reflex
  35. 50
  36. 40
  37. Obtuse
  38. 50
  39. 30
  40. 120

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