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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 769 · 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 20° and 55°. What is the third angle (in degrees)?
  2. 2.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 310°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  8. 8.Three angles together make a straight line. Two of them are 95° and 20°. What is the third angle (in degrees)?
  9. 9.An angle measures 305°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  10. 10.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  11. 11.Three angles together make a straight line. Two of them are 40° and 60°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 9 to 6. How many degrees does it turn?
  13. 13.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  14. 14.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  16. 16.Three angles together make a straight line. Two of them are 50° and 95°. What is the third angle (in degrees)?
  17. 17.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  18. 18.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  20. 20.An angle measures 335°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  21. 21.An angle measures 135°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  22. 22.Three angles together make a straight line. Two of them are 45° and 110°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  24. 24.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  26. 26.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  27. 27.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  28. 28.An angle measures 15°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  29. 29.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  30. 30.Four angles meet at a point. Three of them are 70°, 30° and 80°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 70° and 30°. What is the third angle (in degrees)?
  32. 32.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  33. 33.Four angles meet at a point. Three of them are 100°, 80° and 120°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 90°, 30° and 150°. What is the fourth angle (in degrees)?
  37. 37.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  38. 38.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 30°, 100° and 190°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 30° and 90°. What is the third angle (in degrees)?

Answer key

  1. 105
  2. 36
  3. 90
  4. 90
  5. 95
  6. 90
  7. Reflex
  8. 65
  9. Reflex
  10. North
  11. 80
  12. 270
  13. 60
  14. 45
  15. 90
  16. 35
  17. West
  18. 30
  19. 120
  20. Reflex
  21. Obtuse
  22. 25
  23. 150
  24. 18
  25. 90
  26. Right
  27. 120
  28. Acute
  29. South
  30. 180
  31. 80
  32. Straight
  33. 60
  34. 70
  35. 100
  36. 90
  37. East
  38. 65
  39. 40
  40. 60

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