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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 225 · 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.Three angles together make a straight line. Two of them are 30° and 45°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 40° and 20°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 50°, 80° and 40°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 25° and 145°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 90°, 100° and 60°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 45° and 15°. What is the third angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  8. 8.Four angles meet at a point. Three of them are 30°, 50° and 210°. What is the fourth angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 80°, 80° and 80°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 30°, 50° and 190°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 60° and 230°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 90° and 35°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 100° and 15°. What is the third angle (in degrees)?
  17. 17.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  18. 18.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  19. 19.Four angles meet at a point. Three of them are 40°, 40° and 190°. What is the fourth angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  21. 21.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  22. 22.Four angles meet at a point. Three of them are 100°, 30° and 140°. What is the fourth angle (in degrees)?
  23. 23.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 60°, 70° and 170°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 305°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  26. 26.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  27. 27.An angle measures 210°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  28. 28.Four angles meet at a point. Three of them are 30°, 40° and 90°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  30. 30.An angle measures 135°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  31. 31.Three angles together make a straight line. Two of them are 60° and 110°. What is the third angle (in degrees)?
  32. 32.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  33. 33.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  34. 34.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 80°, 100° and 80°. What is the fourth angle (in degrees)?
  36. 36.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  37. 37.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  39. 39.Three angles together make a straight line. Two of them are 55° and 10°. What is the third angle (in degrees)?
  40. 40.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South

Answer key

  1. 105
  2. 120
  3. 190
  4. 10
  5. 110
  6. 120
  7. Straight
  8. 70
  9. 120
  10. 45
  11. 155
  12. 90
  13. 40
  14. 55
  15. 90
  16. 65
  17. South
  18. South
  19. 90
  20. 150
  21. 150
  22. 90
  23. 15
  24. 60
  25. Reflex
  26. East
  27. Reflex
  28. 200
  29. 75
  30. Obtuse
  31. 10
  32. 120
  33. North
  34. 210
  35. 100
  36. 45
  37. 36
  38. 90
  39. 115
  40. South

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