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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 647 · 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 6 equal angles. How big is each angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  3. 3.An angle measures 105°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  4. 4.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  5. 5.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 10° and 30°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 75° and 55°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 90°, 30° and 110°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  10. 10.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  11. 11.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  12. 12.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  13. 13.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  14. 14.An angle measures 275°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  15. 15.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  16. 16.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  17. 17.Four angles meet at a point. Three of them are 40°, 100° and 30°. What is the fourth angle (in degrees)?
  18. 18.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  19. 19.Three angles together make a straight line. Two of them are 95° and 20°. What is the third angle (in degrees)?
  20. 20.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  23. 23.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 90°, 50° and 200°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 70°, 40° and 190°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  29. 29.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  30. 30.An angle measures 340°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  31. 31.An angle measures 125°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  32. 32.Four angles meet at a point. Three of them are 60°, 40° and 200°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 50°, 50° and 110°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 15° and 145°. What is the third angle (in degrees)?
  36. 36.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  37. 37.Four angles meet at a point. Three of them are 40°, 80° and 50°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 60°, 90° and 80°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 165°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  40. 40.Four angles meet at a point. Three of them are 80°, 60° and 200°. What is the fourth angle (in degrees)?

Answer key

  1. 30
  2. 60
  3. Obtuse
  4. 36
  5. 72
  6. 140
  7. 50
  8. 130
  9. 60
  10. South
  11. West
  12. East
  13. 60
  14. Reflex
  15. 95
  16. West
  17. 190
  18. West
  19. 65
  20. 90
  21. 60
  22. 210
  23. 90
  24. 20
  25. 85
  26. 120
  27. 60
  28. Straight
  29. 10
  30. Reflex
  31. Obtuse
  32. 60
  33. 150
  34. 150
  35. 20
  36. West
  37. 190
  38. 130
  39. Obtuse
  40. 20

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