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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 571 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Four angles meet at a point. Three of them are 100°, 40° and 150°. What is the fourth angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 60° and 100°. What is the third angle (in degrees)?
  4. 4.An angle measures 175°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  5. 5.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  6. 6.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 70° and 100°. What is the third angle (in degrees)?
  8. 8.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 90°, 40° and 40°. What is the fourth angle (in degrees)?
  10. 10.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  11. 11.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  12. 12.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  13. 13.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  14. 14.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  15. 15.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  19. 19.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  20. 20.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  21. 21.Four angles meet at a point. Three of them are 70°, 60° and 80°. What is the fourth angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 50°, 60° and 130°. What is the fourth angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 10° and 30°. What is the third angle (in degrees)?
  25. 25.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  26. 26.Four angles meet at a point. Three of them are 80°, 100° and 80°. What is the fourth angle (in degrees)?
  27. 27.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  28. 28.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  29. 29.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  30. 30.An angle measures 305°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  31. 31.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  32. 32.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  33. 33.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  34. 34.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  35. 35.Three angles together make a straight line. Two of them are 85° and 10°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  38. 38.Four angles meet at a point. Three of them are 50°, 90° and 210°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 50°, 70° and 150°. What is the fourth angle (in degrees)?

Answer key

  1. 70
  2. 120
  3. 20
  4. Obtuse
  5. West
  6. 20
  7. 10
  8. 120
  9. 190
  10. East
  11. 270
  12. 120
  13. 45
  14. South
  15. 30
  16. 180
  17. 30
  18. 75
  19. East
  20. South
  21. 150
  22. 120
  23. 60
  24. 140
  25. West
  26. 100
  27. North
  28. 36
  29. South
  30. Reflex
  31. Straight
  32. Acute
  33. North
  34. East
  35. 85
  36. 30
  37. 30
  38. 10
  39. 25
  40. 90

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