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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 408 · 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.An angle measures 105°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  2. 2.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  3. 3.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?
  4. 4.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  5. 5.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  6. 6.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  7. 7.Three angles together make a straight line. Two of them are 20° and 75°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 40° and 10°. What is the third angle (in degrees)?
  9. 9.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  10. 10.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  11. 11.Four angles meet at a point. Three of them are 40°, 70° and 40°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 30° and 90°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 70° and 15°. What is the third angle (in degrees)?
  14. 14.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  16. 16.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  17. 17.Three angles together make a straight line. Two of them are 65° and 20°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 15° and 140°. What is the third angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 90°, 100° and 90°. What is the fourth angle (in degrees)?
  20. 20.An angle measures 25°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  21. 21.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  22. 22.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  23. 23.Four angles meet at a point. Three of them are 70°, 50° and 220°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  25. 25.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  26. 26.Three angles together make a straight line. Two of them are 20° and 105°. What is the third angle (in degrees)?
  27. 27.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  29. 29.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 100° and 140°. What is the fourth angle (in degrees)?
  31. 31.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  32. 32.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  35. 35.Three angles together make a straight line. Two of them are 40° and 60°. What is the third angle (in degrees)?
  36. 36.An angle measures 95°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  37. 37.Three angles together make a straight line. Two of them are 15° and 105°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  40. 40.Four angles meet at a point. Three of them are 40°, 50° and 130°. What is the fourth angle (in degrees)?

Answer key

  1. Obtuse
  2. 270
  3. 130
  4. 90
  5. 45
  6. South
  7. 85
  8. 130
  9. West
  10. 300
  11. 210
  12. 60
  13. 95
  14. 72
  15. South
  16. West
  17. 95
  18. 25
  19. 80
  20. Acute
  21. 65
  22. Right
  23. 20
  24. 60
  25. 210
  26. 55
  27. 30
  28. 150
  29. 35
  30. 80
  31. West
  32. 18
  33. 300
  34. 150
  35. 80
  36. Obtuse
  37. 60
  38. 20
  39. 270
  40. 140

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