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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 402 · 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 4 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 90°, 100° and 100°. What is the fourth angle (in degrees)?
  3. 3.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  4. 4.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  5. 5.An angle measures 175°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  6. 6.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 60°, 100° and 150°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  9. 9.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 30°, 50° and 190°. What is the fourth angle (in degrees)?
  12. 12.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  13. 13.Three angles together make a straight line. Two of them are 80° and 10°. What is the third angle (in degrees)?
  14. 14.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  15. 15.An angle measures 20°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  16. 16.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  17. 17.An angle measures 40°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  18. 18.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  19. 19.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  20. 20.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  21. 21.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 240°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  23. 23.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 40° and 50°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 70°, 30° and 60°. What is the fourth angle (in degrees)?
  26. 26.An angle measures 280°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  27. 27.Three angles together make a straight line. Two of them are 30° and 25°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 10° and 50°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 100° and 180°. What is the fourth angle (in degrees)?
  31. 31.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  32. 32.An angle measures 65°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  33. 33.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  34. 34.Three angles together make a straight line. Two of them are 60° and 65°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 100°, 30° and 170°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 3 to 10. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 80°, 60° and 110°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 60°, 100° and 90°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 80°, 100° and 170°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 35° and 70°. What is the third angle (in degrees)?

Answer key

  1. 90
  2. 70
  3. South
  4. 75
  5. Obtuse
  6. 18
  7. 50
  8. Straight
  9. West
  10. 90
  11. 90
  12. East
  13. 90
  14. North
  15. Acute
  16. North
  17. Acute
  18. 120
  19. North
  20. 300
  21. 60
  22. Reflex
  23. 80
  24. 170
  25. 200
  26. Reflex
  27. 125
  28. 300
  29. 120
  30. 50
  31. North
  32. Acute
  33. East
  34. 55
  35. 60
  36. 210
  37. 110
  38. 110
  39. 10
  40. 75

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