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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 806 · 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.Four angles meet at a point. Three of them are 40°, 60° and 70°. What is the fourth angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  3. 3.Four angles meet at a point. Three of them are 30°, 40° and 140°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 60°, 30° and 260°. What is the fourth angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 12 to 5. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 70°, 30° and 30°. What is the fourth angle (in degrees)?
  8. 8.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  9. 9.Four angles meet at a point. Three of them are 40°, 50° and 120°. What is the fourth angle (in degrees)?
  10. 10.An angle measures 330°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  11. 11.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  12. 12.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  13. 13.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  14. 14.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 205°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  16. 16.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  17. 17.An angle measures 130°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  18. 18.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  19. 19.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 85° and 85°. What is the third angle (in degrees)?
  21. 21.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  22. 22.Three angles together make a straight line. Two of them are 65° and 100°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  24. 24.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  25. 25.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  27. 27.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  28. 28.An angle measures 20°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  29. 29.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  30. 30.An angle measures 90°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  31. 31.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  32. 32.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  34. 34.An angle measures 70°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  35. 35.Four angles meet at a point. Three of them are 50°, 60° and 160°. What is the fourth angle (in degrees)?
  36. 36.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  39. 39.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  40. 40.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East

Answer key

  1. 190
  2. 30
  3. 150
  4. 10
  5. 150
  6. 85
  7. 230
  8. North
  9. 150
  10. Reflex
  11. 270
  12. 60
  13. North
  14. 20
  15. Reflex
  16. West
  17. Obtuse
  18. West
  19. 90
  20. 10
  21. South
  22. 15
  23. 80
  24. 18
  25. 90
  26. South
  27. Straight
  28. Acute
  29. 120
  30. Right
  31. 150
  32. 15
  33. 330
  34. Acute
  35. 90
  36. 90
  37. 125
  38. 35
  39. East
  40. East

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