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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 135 · 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.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 100°, 70° and 60°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 30° and 290°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 60° and 110°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 40°, 80° and 190°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  8. 8.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  10. 10.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  11. 11.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  12. 12.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  13. 13.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  14. 14.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  15. 15.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  16. 16.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  17. 17.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  18. 18.Four angles meet at a point. Three of them are 60°, 70° and 110°. What is the fourth angle (in degrees)?
  19. 19.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  20. 20.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  21. 21.Four angles meet at a point. Three of them are 80°, 80° and 160°. What is the fourth angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 50°, 40° and 200°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  25. 25.Four angles meet at a point. Three of them are 50°, 40° and 40°. What is the fourth angle (in degrees)?
  26. 26.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  27. 27.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 50°, 50° and 120°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  34. 34.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 50° and 20°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 65° and 80°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 15° and 30°. What is the third angle (in degrees)?
  39. 39.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 75° and 70°. What is the third angle (in degrees)?

Answer key

  1. 120
  2. 60
  3. 130
  4. 10
  5. 10
  6. 50
  7. 65
  8. 90
  9. Straight
  10. 240
  11. West
  12. North
  13. West
  14. 330
  15. North
  16. Right
  17. North
  18. 120
  19. East
  20. North
  21. 40
  22. 70
  23. 45
  24. 90
  25. 230
  26. North
  27. 300
  28. 125
  29. 180
  30. 55
  31. 140
  32. 15
  33. West
  34. 120
  35. 110
  36. 270
  37. 35
  38. 135
  39. 60
  40. 35

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