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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 998 · 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 85° and 70°. What is the third angle (in degrees)?
  2. 2.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  3. 3.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 40°, 30° and 180°. What is the fourth angle (in degrees)?
  6. 6.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  8. 8.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 50°, 40° and 190°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 65° and 35°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  14. 14.Four angles meet at a point. Three of them are 80°, 80° and 30°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 45°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  16. 16.Three angles together make a straight line. Two of them are 30° and 45°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  18. 18.An angle measures 330°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  19. 19.Four angles meet at a point. Three of them are 70°, 80° and 50°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 100°, 30° and 100°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  22. 22.An angle measures 310°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  23. 23.Three angles together make a straight line. Two of them are 15° and 40°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  25. 25.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 100°, 70° and 100°. What is the fourth angle (in degrees)?
  27. 27.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 30° and 50°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  30. 30.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 50° and 75°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 50°, 60° and 240°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 85° and 85°. What is the third angle (in degrees)?
  34. 34.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  35. 35.An angle measures 295°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  36. 36.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 40°, 40° and 120°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  39. 39.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  40. 40.An angle measures 30°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute

Answer key

  1. 25
  2. North
  3. 125
  4. 20
  5. 110
  6. 45
  7. 300
  8. 60
  9. 80
  10. 80
  11. 30
  12. 65
  13. 240
  14. 170
  15. Acute
  16. 105
  17. 70
  18. Reflex
  19. 160
  20. 130
  21. 300
  22. Reflex
  23. 125
  24. 75
  25. 72
  26. 90
  27. 36
  28. 190
  29. 300
  30. 15
  31. 55
  32. 10
  33. 10
  34. West
  35. Reflex
  36. 60
  37. 160
  38. 240
  39. Right
  40. Acute

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