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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 487 · 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.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  2. 2.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 60° and 40°. What is the third angle (in degrees)?
  4. 4.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  5. 5.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  6. 6.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 20° and 20°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  10. 10.An angle measures 230°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  11. 11.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  12. 12.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  13. 13.The minute hand of a clock turns clockwise from 7 to 1. How many degrees does it turn?
  14. 14.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  15. 15.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  17. 17.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  18. 18.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  19. 19.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 100°, 60° and 80°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 95° and 40°. What is the third angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 100°, 50° and 190°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 30°, 40° and 240°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 15° and 25°. What is the third angle (in degrees)?
  27. 27.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  28. 28.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  29. 29.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  30. 30.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 10° and 150°. What is the third angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 70°, 60° and 160°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 60°, 40° and 240°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  38. 38.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  39. 39.Four angles meet at a point. Three of them are 90°, 100° and 140°. What is the fourth angle (in degrees)?
  40. 40.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South

Answer key

  1. 95
  2. 90
  3. 80
  4. East
  5. West
  6. 120
  7. 140
  8. 240
  9. 240
  10. Reflex
  11. Right
  12. 90
  13. 180
  14. South
  15. 330
  16. 90
  17. 30
  18. South
  19. 45
  20. 120
  21. 45
  22. 20
  23. 15
  24. 50
  25. 90
  26. 140
  27. North
  28. 150
  29. South
  30. 20
  31. 20
  32. 30
  33. 25
  34. 70
  35. 20
  36. 90
  37. 90
  38. West
  39. 30
  40. South

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