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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 751 · 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 65° and 35°. What is the third angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 70° and 55°. What is the third angle (in degrees)?
  4. 4.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  5. 5.An angle measures 35°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  6. 6.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  7. 7.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 90°, 70° and 30°. What is the fourth angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 70°, 90° and 80°. What is the fourth angle (in degrees)?
  11. 11.An angle measures 275°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  12. 12.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 15° and 55°. What is the third angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 65° and 45°. What is the third angle (in degrees)?
  15. 15.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  16. 16.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 60°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  18. 18.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 90°, 70° and 150°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  21. 21.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 70°, 100° and 60°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 15° and 85°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 15° and 115°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 40° and 40°. What is the fourth angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 11 to 12. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 50° and 70°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 30° and 40°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 70°, 40° and 240°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  33. 33.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 50°, 40° and 130°. What is the fourth angle (in degrees)?
  35. 35.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 40° and 85°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 40° and 80°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 80°, 90° and 130°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 40°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  40. 40.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South

Answer key

  1. 80
  2. 150
  3. 55
  4. Right
  5. Acute
  6. Straight
  7. 60
  8. 130
  9. 170
  10. 120
  11. Reflex
  12. 30
  13. 110
  14. 70
  15. South
  16. 45
  17. Acute
  18. 30
  19. 50
  20. 25
  21. 72
  22. 130
  23. 80
  24. 50
  25. 240
  26. 30
  27. 60
  28. 110
  29. 45
  30. 95
  31. 10
  32. 240
  33. 15
  34. 140
  35. 120
  36. 55
  37. 170
  38. 60
  39. Acute
  40. East

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