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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 166 · 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.

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  1. 1.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  2. 2.Four angles meet at a point. Three of them are 40°, 60° and 150°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  4. 4.An angle measures 65°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  5. 5.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  7. 7.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  8. 8.Three angles together make a straight line. Two of them are 25° and 55°. What is the third angle (in degrees)?
  9. 9.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  10. 10.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 90° and 70°. What is the third angle (in degrees)?
  15. 15.The minute hand of a clock turns clockwise from 6 to 10. How many degrees does it turn?
  16. 16.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  18. 18.Four angles meet at a point. Three of them are 30°, 60° and 80°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 305°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  20. 20.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 40° and 100°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  23. 23.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  24. 24.An angle measures 30°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  25. 25.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  27. 27.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 30° and 120°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 35° and 30°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 70°, 100° and 110°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 90°, 40° and 210°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 70°, 100° and 40°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  37. 37.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  38. 38.The minute hand of a clock turns clockwise from 11 to 5. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 80°, 90° and 160°. What is the fourth angle (in degrees)?

Answer key

  1. East
  2. 110
  3. 300
  4. Acute
  5. 30
  6. Right
  7. 150
  8. 100
  9. Straight
  10. North
  11. 15
  12. 90
  13. 30
  14. 20
  15. 120
  16. 30
  17. Obtuse
  18. 190
  19. Reflex
  20. 20
  21. 40
  22. 45
  23. 18
  24. Acute
  25. 300
  26. South
  27. 85
  28. 30
  29. 115
  30. 80
  31. 150
  32. 20
  33. 150
  34. 85
  35. 330
  36. 125
  37. West
  38. 180
  39. 30
  40. 30

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