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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 112 · 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 clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  2. 2.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 65° and 85°. What is the third angle (in degrees)?
  4. 4.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 30° and 70°. What is the third angle (in degrees)?
  6. 6.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  7. 7.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  8. 8.Three angles together make a straight line. Two of them are 50° and 55°. What is the third angle (in degrees)?
  9. 9.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  10. 10.Three angles together make a straight line. Two of them are 50° and 95°. What is the third angle (in degrees)?
  11. 11.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  12. 12.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 1 to 10. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 20° and 135°. What is the third angle (in degrees)?
  15. 15.An angle measures 170°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  16. 16.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  17. 17.An angle measures 195°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  18. 18.An angle measures 15°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  19. 19.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 100°, 70° and 130°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 60°, 40° and 140°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 30°, 90° and 100°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 40°, 30° and 80°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  28. 28.Four angles meet at a point. Three of them are 30°, 100° and 60°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 45° and 55°. What is the third angle (in degrees)?
  30. 30.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  31. 31.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  32. 32.The minute hand of a clock turns clockwise from 12 to 5. How many degrees does it turn?
  33. 33.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  34. 34.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  35. 35.Three angles together make a straight line. Two of them are 85° and 55°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 2 to 9. How many degrees does it turn?
  37. 37.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) East (d) North
  38. 38.An angle measures 145°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  39. 39.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  40. 40.Three angles together make a straight line. Two of them are 10° and 50°. What is the third angle (in degrees)?

Answer key

  1. East
  2. 90
  3. 30
  4. 18
  5. 80
  6. 40
  7. East
  8. 75
  9. West
  10. 35
  11. Straight
  12. 40
  13. 270
  14. 25
  15. Obtuse
  16. 90
  17. Reflex
  18. Acute
  19. 70
  20. 60
  21. 120
  22. 75
  23. 140
  24. 330
  25. 125
  26. 210
  27. Right
  28. 170
  29. 80
  30. 36
  31. South
  32. 150
  33. 60
  34. West
  35. 40
  36. 210
  37. East
  38. Obtuse
  39. 120
  40. 120

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