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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 786 · 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 90° and 55°. What is the third angle (in degrees)?
  2. 2.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  3. 3.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 100°, 90° and 160°. What is the fourth angle (in degrees)?
  5. 5.An angle measures 175°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  6. 6.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  7. 7.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  8. 8.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  9. 9.Four angles meet at a point. Three of them are 40°, 30° and 150°. What is the fourth angle (in degrees)?
  10. 10.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 70°, 90° and 40°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  13. 13.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  14. 14.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 20° and 85°. What is the third angle (in degrees)?
  16. 16.An angle measures 205°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  17. 17.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  18. 18.An angle measures 70°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  19. 19.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  20. 20.An angle measures 15°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  21. 21.An angle measures 40°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  22. 22.An angle measures 125°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  23. 23.Four angles meet at a point. Three of them are 60°, 70° and 40°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  25. 25.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  26. 26.Four angles meet at a point. Three of them are 90°, 70° and 50°. What is the fourth angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 4 to 12. How many degrees does it turn?
  28. 28.Four angles meet at a point. Three of them are 40°, 30° and 140°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 40°, 70° and 40°. What is the fourth angle (in degrees)?
  30. 30.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  31. 31.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  32. 32.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  33. 33.Four angles meet at a point. Three of them are 30°, 50° and 170°. What is the fourth angle (in degrees)?
  34. 34.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 20° and 55°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 75° and 20°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  38. 38.An angle measures 150°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  39. 39.Four angles meet at a point. Three of them are 80°, 70° and 80°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?

Answer key

  1. 35
  2. 30
  3. 45
  4. 10
  5. Obtuse
  6. 90
  7. 36
  8. East
  9. 140
  10. 72
  11. 160
  12. 115
  13. North
  14. 75
  15. 75
  16. Reflex
  17. 60
  18. Acute
  19. North
  20. Acute
  21. Acute
  22. Obtuse
  23. 190
  24. Straight
  25. 180
  26. 150
  27. 240
  28. 150
  29. 210
  30. West
  31. South
  32. Right
  33. 110
  34. 60
  35. 105
  36. 85
  37. 40
  38. Obtuse
  39. 130
  40. 30

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