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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 949 · 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.Four angles meet at a point. Three of them are 50°, 70° and 190°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 40°, 50° and 40°. What is the fourth angle (in degrees)?
  4. 4.An angle measures 50°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  5. 5.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  6. 6.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  7. 7.Three angles together make a straight line. Two of them are 75° and 25°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  10. 10.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 100°, 40° and 90°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 30° and 120°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 10° and 90°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  16. 16.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 80°, 30° and 110°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 100°, 30° and 210°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  22. 22.An angle measures 200°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  24. 24.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.An angle measures 320°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  27. 27.Three angles together make a straight line. Two of them are 80° and 45°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 30° and 20°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 30°, 80° and 150°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 70°, 70° and 50°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  34. 34.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  35. 35.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  36. 36.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 50°, 100° and 130°. What is the fourth angle (in degrees)?
  38. 38.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  39. 39.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  40. 40.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?

Answer key

  1. 50
  2. 25
  3. 230
  4. Acute
  5. 75
  6. West
  7. 80
  8. 45
  9. 20
  10. 36
  11. 60
  12. 130
  13. 180
  14. 80
  15. 20
  16. 45
  17. 300
  18. 140
  19. 20
  20. 80
  21. 30
  22. Reflex
  23. 70
  24. 60
  25. Reflex
  26. South
  27. 55
  28. 130
  29. 90
  30. 100
  31. 170
  32. 150
  33. 90
  34. 30
  35. Straight
  36. 210
  37. 80
  38. East
  39. 30
  40. 90

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