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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 278 · 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 50°, 50° and 200°. What is the fourth angle (in degrees)?
  2. 2.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  4. 4.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  5. 5.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  6. 6.Three angles together make a straight line. Two of them are 10° and 55°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 15° and 60°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 40° and 90°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  12. 12.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 85° and 70°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 30° and 25°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 40° and 30°. What is the third angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 70°, 100° and 130°. What is the fourth angle (in degrees)?
  20. 20.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  21. 21.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  22. 22.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  23. 23.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  24. 24.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  25. 25.Four angles meet at a point. Three of them are 40°, 70° and 80°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 35° and 10°. What is the third angle (in degrees)?
  27. 27.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  28. 28.Four angles meet at a point. Three of them are 50°, 60° and 230°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 40°, 30° and 40°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  31. 31.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  32. 32.An angle measures 180°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  33. 33.Four angles meet at a point. Three of them are 30°, 60° and 70°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 50° and 55°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 70° and 90°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 60° and 100°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 50° and 110°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 30°, 100° and 160°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 80° and 40°. What is the fourth angle (in degrees)?

Answer key

  1. 60
  2. 40
  3. 90
  4. 30
  5. Right
  6. 115
  7. 105
  8. 20
  9. 50
  10. 45
  11. East
  12. 60
  13. 25
  14. 125
  15. 85
  16. 90
  17. 180
  18. 110
  19. 60
  20. West
  21. West
  22. 180
  23. West
  24. 60
  25. 170
  26. 135
  27. South
  28. 20
  29. 250
  30. 95
  31. 90
  32. Straight
  33. 200
  34. 75
  35. 20
  36. 20
  37. 130
  38. 70
  39. 100
  40. 150

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