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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 982 · 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 50° and 105°. What is the third angle (in degrees)?
  2. 2.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  3. 3.Four angles meet at a point. Three of them are 30°, 70° and 80°. What is the fourth angle (in degrees)?
  4. 4.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 80° and 70°. What is the third angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 30°, 50° and 110°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 115°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  8. 8.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 40° and 20°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 80° and 25°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 40°, 60° and 160°. What is the fourth angle (in degrees)?
  19. 19.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  21. 21.An angle measures 105°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  22. 22.Four angles meet at a point. Three of them are 70°, 30° and 130°. What is the fourth angle (in degrees)?
  23. 23.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  24. 24.An angle measures 25°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  25. 25.Four angles meet at a point. Three of them are 30°, 90° and 30°. What is the fourth angle (in degrees)?
  26. 26.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  28. 28.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 30° and 140°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 75° and 15°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  34. 34.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  35. 35.Four angles meet at a point. Three of them are 100°, 50° and 60°. What is the fourth angle (in degrees)?
  36. 36.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  37. 37.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  38. 38.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 30°, 30° and 90°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?

Answer key

  1. 25
  2. East
  3. 180
  4. 20
  5. 30
  6. 170
  7. Obtuse
  8. 30
  9. 120
  10. 40
  11. 30
  12. 40
  13. 70
  14. 75
  15. 18
  16. 15
  17. 150
  18. 100
  19. 40
  20. Right
  21. Obtuse
  22. 130
  23. East
  24. Acute
  25. 210
  26. 120
  27. 120
  28. 75
  29. 15
  30. 160
  31. 90
  32. 300
  33. 330
  34. South
  35. 150
  36. 30
  37. 60
  38. 45
  39. 210
  40. 240

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