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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 210 · 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.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  2. 2.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  3. 3.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  4. 4.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  5. 5.An angle measures 20°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  6. 6.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  7. 7.An angle measures 5°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  8. 8.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  9. 9.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  11. 11.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 30°, 30° and 50°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 80° and 80°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 70°, 40° and 80°. What is the fourth angle (in degrees)?
  16. 16.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  18. 18.An angle measures 45°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  20. 20.Four angles meet at a point. Three of them are 90°, 50° and 90°. What is the fourth angle (in degrees)?
  21. 21.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  22. 22.An angle measures 95°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  23. 23.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  24. 24.Four angles meet at a point. Three of them are 90°, 40° and 90°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 30° and 20°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  27. 27.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 30°, 100° and 150°. What is the fourth angle (in degrees)?
  29. 29.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  31. 31.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  32. 32.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  33. 33.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 100° and 65°. What is the third angle (in degrees)?
  35. 35.An angle measures 165°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  36. 36.Four angles meet at a point. Three of them are 40°, 30° and 70°. What is the fourth angle (in degrees)?
  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.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  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 40°, 50° and 30°. What is the fourth angle (in degrees)?

Answer key

  1. 70
  2. South
  3. North
  4. Straight
  5. Acute
  6. North
  7. Acute
  8. West
  9. 45
  10. Right
  11. 90
  12. 250
  13. 170
  14. 75
  15. 170
  16. 60
  17. 270
  18. Acute
  19. 180
  20. 130
  21. East
  22. Obtuse
  23. East
  24. 140
  25. 130
  26. 270
  27. 270
  28. 80
  29. 20
  30. 210
  31. 180
  32. 36
  33. 60
  34. 15
  35. Obtuse
  36. 220
  37. 70
  38. East
  39. 270
  40. 240

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