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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 196 · 40 sums
TalentJR

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 full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 90°, 50° and 190°. What is the fourth angle (in degrees)?
  3. 3.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  5. 5.Four angles meet at a point. Three of them are 90°, 30° and 50°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?
  7. 7.An angle measures 280°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  8. 8.Three angles together make a straight line. Two of them are 35° and 40°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 70°, 70° and 160°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 60° and 105°. What is the third angle (in degrees)?
  11. 11.An angle measures 70°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  12. 12.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 15° and 10°. What is the third angle (in degrees)?
  14. 14.An angle measures 25°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  15. 15.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  16. 16.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 90°. 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 15° and 35°. What is the third angle (in degrees)?
  19. 19.An angle measures 10°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  20. 20.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  21. 21.Three angles together make a straight line. Two of them are 30° and 55°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 90°, 100° and 70°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 30° and 100°. What is the third angle (in degrees)?
  25. 25.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 80°, 80° and 80°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 20°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  29. 29.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  30. 30.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 75° and 75°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 30°, 60° and 100°. What is the fourth angle (in degrees)?
  33. 33.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 30°, 60° and 260°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 30°, 90° and 40°. What is the fourth angle (in degrees)?
  36. 36.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  37. 37.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  38. 38.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 80°, 70° and 40°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 20° and 65°. What is the third angle (in degrees)?

Answer key

  1. 30
  2. 30
  3. 36
  4. South
  5. 190
  6. 145
  7. Reflex
  8. 105
  9. 60
  10. 15
  11. Acute
  12. 45
  13. 155
  14. Acute
  15. 90
  16. 40
  17. Right
  18. 130
  19. Acute
  20. Straight
  21. 95
  22. 270
  23. 100
  24. 50
  25. 30
  26. 210
  27. 120
  28. Acute
  29. North
  30. 30
  31. 30
  32. 170
  33. 120
  34. 10
  35. 200
  36. South
  37. South
  38. 70
  39. 170
  40. 95

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