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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 985 · 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.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  2. 2.Four angles meet at a point. Three of them are 30°, 90° and 170°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 145°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  4. 4.Four angles meet at a point. Three of them are 50°, 30° and 270°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  6. 6.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  7. 7.Three angles together make a straight line. Two of them are 100° and 65°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 45° and 85°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 100°, 70° and 90°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 35° and 65°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  12. 12.An angle measures 280°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  13. 13.You face East and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  14. 14.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  15. 15.Three angles together make a straight line. Two of them are 60° and 10°. What is the third angle (in degrees)?
  16. 16.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  17. 17.An angle measures 300°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  18. 18.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  19. 19.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 40°, 90° and 60°. What is the fourth angle (in degrees)?
  21. 21.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 65° and 10°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 55° and 20°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 95° and 75°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 70°, 40° and 180°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 70° and 100°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 80°, 80° and 80°. What is the fourth angle (in degrees)?
  29. 29.An angle measures 190°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  30. 30.Three angles together make a straight line. Two of them are 60° and 40°. What is the third angle (in degrees)?
  31. 31.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 60°, 40° and 240°. What is the fourth angle (in degrees)?
  33. 33.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  35. 35.An angle measures 30°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  36. 36.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 40° and 150°. What is the fourth angle (in degrees)?
  38. 38.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 50°, 70° and 170°. What is the fourth angle (in degrees)?
  40. 40.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North

Answer key

  1. West
  2. 70
  3. Obtuse
  4. 10
  5. 120
  6. North
  7. 15
  8. 50
  9. 100
  10. 80
  11. 180
  12. Reflex
  13. South
  14. West
  15. 110
  16. West
  17. Reflex
  18. Right
  19. 10
  20. 170
  21. 40
  22. 105
  23. 105
  24. 10
  25. 70
  26. 140
  27. 10
  28. 120
  29. Reflex
  30. 80
  31. 45
  32. 20
  33. 60
  34. 75
  35. Acute
  36. 60
  37. 100
  38. 120
  39. 70
  40. East

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