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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 310 · 40 sums
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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 80°, 50° and 210°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 25° and 145°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 55° and 70°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  5. 5.An angle measures 30°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  6. 6.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  8. 8.An angle measures 325°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  9. 9.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 20° and 90°. What is the third angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 50°, 60° and 200°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 40° and 90°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 40° and 70°. What is the third angle (in degrees)?
  14. 14.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  15. 15.Three angles together make a straight line. Two of them are 10° and 95°. What is the third angle (in degrees)?
  16. 16.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  17. 17.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  18. 18.Three angles together make a straight line. Two of them are 55° and 35°. 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.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  21. 21.Four angles meet at a point. Three of them are 30°, 30° and 90°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 10° and 85°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 70°, 50° and 70°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  26. 26.Four angles meet at a point. Three of them are 30°, 30° and 160°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 15° and 140°. What is the third angle (in degrees)?
  28. 28.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  29. 29.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 80° and 200°. What is the fourth angle (in degrees)?
  31. 31.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  33. 33.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  34. 34.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  35. 35.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  36. 36.An angle measures 140°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  37. 37.Four angles meet at a point. Three of them are 60°, 30° and 150°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 100°, 30° and 80°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?
  40. 40.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North

Answer key

  1. 20
  2. 10
  3. 55
  4. 10
  5. Acute
  6. 20
  7. Right
  8. Reflex
  9. 270
  10. 70
  11. 50
  12. 50
  13. 70
  14. 90
  15. 75
  16. 60
  17. North
  18. 90
  19. East
  20. 150
  21. 210
  22. 85
  23. 170
  24. 90
  25. 30
  26. 140
  27. 25
  28. 45
  29. 120
  30. 40
  31. 45
  32. 95
  33. East
  34. North
  35. 120
  36. Obtuse
  37. 120
  38. 150
  39. 95
  40. South

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