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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 176 · 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 40°, 90° and 60°. What is the fourth angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  3. 3.Four angles meet at a point. Three of them are 90°, 80° and 170°. What is the fourth angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  5. 5.Four angles meet at a point. Three of them are 50°, 60° and 140°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 30° and 75°. What is the third angle (in degrees)?
  7. 7.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  8. 8.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  9. 9.An angle measures 115°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  10. 10.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  11. 11.Three angles together make a straight line. Two of them are 20° and 80°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 70°, 70° and 60°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 100° and 210°. What is the fourth angle (in degrees)?
  14. 14.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  15. 15.Three angles together make a straight line. Two of them are 55° and 85°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 70°, 30° and 170°. What is the fourth angle (in degrees)?
  17. 17.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 50°, 50° and 50°. What is the fourth angle (in degrees)?
  19. 19.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  20. 20.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  21. 21.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 95°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  23. 23.The minute hand of a clock turns clockwise from 1 to 5. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 70° and 65°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 90°, 50° and 110°. What is the fourth angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 70° and 70°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 60°, 30° and 140°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 65° and 85°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 100°, 90° and 110°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 50°, 70° and 220°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 80° and 35°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 40°, 90° and 120°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  35. 35.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 60°, 40° and 90°. What is the fourth angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  39. 39.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  40. 40.Three angles together make a straight line. Two of them are 80° and 40°. What is the third angle (in degrees)?

Answer key

  1. 170
  2. 180
  3. 20
  4. 330
  5. 110
  6. 75
  7. South
  8. East
  9. Obtuse
  10. Straight
  11. 80
  12. 160
  13. 20
  14. West
  15. 40
  16. 90
  17. 45
  18. 210
  19. South
  20. 330
  21. 18
  22. Obtuse
  23. 120
  24. 300
  25. 45
  26. 110
  27. 180
  28. 130
  29. 30
  30. 60
  31. 20
  32. 65
  33. 110
  34. 210
  35. 30
  36. 170
  37. 90
  38. 45
  39. East
  40. 60

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