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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 491 · 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.Four angles meet at a point. Three of them are 40°, 90° and 50°. What is the fourth angle (in degrees)?
  2. 2.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  3. 3.Three angles together make a straight line. Two of them are 20° and 70°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 90° and 65°. What is the third angle (in degrees)?
  5. 5.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  6. 6.An angle measures 50°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  7. 7.Three angles together make a straight line. Two of them are 35° and 85°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 30°, 90° and 120°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 100° and 20°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 15° and 135°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  13. 13.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  14. 14.Four angles meet at a point. Three of them are 40°, 80° and 130°. What is the fourth angle (in degrees)?
  15. 15.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  16. 16.An angle measures 35°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  17. 17.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 55° and 25°. What is the third angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 10 to 5. How many degrees does it turn?
  20. 20.An angle measures 175°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  21. 21.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  22. 22.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  23. 23.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  25. 25.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  27. 27.Four angles meet at a point. Three of them are 90°, 60° and 90°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 45° and 125°. What is the third angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  30. 30.Four angles meet at a point. Three of them are 90°, 90° and 80°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 280°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  32. 32.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  33. 33.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  34. 34.Three angles together make a straight line. Two of them are 30° and 10°. What is the third angle (in degrees)?
  35. 35.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 40°, 90° and 80°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 30°, 90° and 130°. What is the fourth angle (in degrees)?
  38. 38.An angle measures 85°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  39. 39.Four angles meet at a point. Three of them are 70°, 30° and 160°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?

Answer key

  1. 180
  2. South
  3. 90
  4. 25
  5. 40
  6. Acute
  7. 60
  8. 120
  9. 60
  10. 30
  11. 15
  12. 90
  13. East
  14. 110
  15. Straight
  16. Acute
  17. 10
  18. 100
  19. 210
  20. Obtuse
  21. Right
  22. 60
  23. 90
  24. 330
  25. 30
  26. 240
  27. 120
  28. 10
  29. 60
  30. 100
  31. Reflex
  32. 30
  33. South
  34. 140
  35. 72
  36. 150
  37. 110
  38. Acute
  39. 100
  40. 55

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