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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 898 · 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.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  3. 3.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 40°, 100° and 130°. What is the fourth angle (in degrees)?
  5. 5.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 100°, 100° and 90°. What is the fourth angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  8. 8.An angle measures 140°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  9. 9.Three angles together make a straight line. Two of them are 65° and 55°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 95° and 30°. What is the third angle (in degrees)?
  12. 12.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  13. 13.Three angles together make a straight line. Two of them are 15° and 75°. What is the third angle (in degrees)?
  14. 14.An angle measures 110°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  15. 15.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 70°, 50° and 90°. What is the fourth angle (in degrees)?
  17. 17.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  18. 18.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  19. 19.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) North (d) South
  20. 20.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  21. 21.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 315°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  23. 23.Four angles meet at a point. Three of them are 90°, 40° and 220°. What is the fourth angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 100°, 80° and 40°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 35° and 125°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 70°, 40° and 60°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 80° and 35°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 20° and 135°. What is the third angle (in degrees)?
  31. 31.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  33. 33.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  34. 34.Three angles together make a straight line. Two of them are 30° and 85°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 10° and 35°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 30°, 70° and 150°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 40°, 90° and 160°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  40. 40.Four angles meet at a point. Three of them are 100°, 90° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. 60
  2. South
  3. 30
  4. 90
  5. 72
  6. 70
  7. 270
  8. Obtuse
  9. 60
  10. 18
  11. 55
  12. East
  13. 90
  14. Obtuse
  15. 90
  16. 150
  17. 120
  18. Acute
  19. North
  20. 125
  21. 45
  22. Reflex
  23. 10
  24. 140
  25. 20
  26. 190
  27. 60
  28. 65
  29. 20
  30. 25
  31. 15
  32. 55
  33. North
  34. 65
  35. 135
  36. 300
  37. 110
  38. 70
  39. Right
  40. 100

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