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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 177 · 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 40°, 60° and 250°. What is the fourth angle (in degrees)?
  2. 2.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  3. 3.Three angles together make a straight line. Two of them are 40° and 35°. What is the third angle (in degrees)?
  4. 4.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 100°, 80° and 170°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 20° and 130°. What is the third angle (in degrees)?
  7. 7.An angle measures 20°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  8. 8.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  9. 9.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 90° and 25°. What is the third angle (in degrees)?
  11. 11.An angle measures 130°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  12. 12.An angle measures 80°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  13. 13.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  14. 14.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  15. 15.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  16. 16.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  17. 17.An angle measures 115°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  18. 18.Three angles together make a straight line. Two of them are 65° and 80°. What is the third angle (in degrees)?
  19. 19.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  20. 20.Three angles together make a straight line. Two of them are 80° and 80°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  23. 23.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  24. 24.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 90°, 90° and 100°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 65° and 35°. What is the third angle (in degrees)?
  28. 28.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  29. 29.An angle measures 105°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  30. 30.Four angles meet at a point. Three of them are 30°, 30° and 210°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  33. 33.An angle measures 95°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  34. 34.An angle measures 90°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  35. 35.Four angles meet at a point. Three of them are 40°, 100° and 170°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 85° and 50°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 100°, 40° and 110°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  39. 39.An angle measures 150°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  40. 40.Three angles together make a straight line. Two of them are 10° and 135°. What is the third angle (in degrees)?

Answer key

  1. 10
  2. East
  3. 105
  4. 30
  5. 10
  6. 30
  7. Acute
  8. 90
  9. 20
  10. 65
  11. Obtuse
  12. Acute
  13. 300
  14. 90
  15. Straight
  16. 30
  17. Obtuse
  18. 35
  19. North
  20. 20
  21. 70
  22. 30
  23. 60
  24. 60
  25. 40
  26. 80
  27. 80
  28. 120
  29. Obtuse
  30. 90
  31. 90
  32. 30
  33. Obtuse
  34. Right
  35. 50
  36. 45
  37. 110
  38. 270
  39. Obtuse
  40. 35

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