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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 61 · 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 55° and 35°. What is the third angle (in degrees)?
  2. 2.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  3. 3.Three angles together make a straight line. Two of them are 65° and 45°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  5. 5.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  6. 6.An angle measures 25°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  7. 7.Four angles meet at a point. Three of them are 70°, 70° and 140°. What is the fourth angle (in degrees)?
  8. 8.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  9. 9.An angle measures 355°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  10. 10.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.An angle measures 125°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  13. 13.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  14. 14.An angle measures 235°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  15. 15.Four angles meet at a point. Three of them are 90°, 90° and 170°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 40° and 15°. What is the third angle (in degrees)?
  17. 17.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 40° and 110°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 30°, 50° and 60°. What is the fourth angle (in degrees)?
  20. 20.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  21. 21.Four angles meet at a point. Three of them are 30°, 30° and 160°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 30° and 100°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 12 to 10. How many degrees does it turn?
  25. 25.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  26. 26.Four angles meet at a point. Three of them are 90°, 80° and 180°. What is the fourth angle (in degrees)?
  27. 27.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  29. 29.Three angles together make a straight line. Two of them are 35° and 40°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 30°, 70° and 90°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 9 to 12. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 100°, 60° and 100°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?
  37. 37.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  38. 38.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  40. 40.An angle measures 95°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight

Answer key

  1. 90
  2. Straight
  3. 70
  4. 180
  5. West
  6. Acute
  7. 80
  8. West
  9. Reflex
  10. West
  11. 15
  12. Obtuse
  13. East
  14. Reflex
  15. 10
  16. 125
  17. 40
  18. 180
  19. 220
  20. North
  21. 140
  22. 50
  23. 240
  24. 300
  25. South
  26. 10
  27. 60
  28. North
  29. 105
  30. 25
  31. 170
  32. 90
  33. 100
  34. 30
  35. 330
  36. 115
  37. East
  38. 36
  39. 45
  40. Obtuse

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