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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 397 · 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 90°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  2. 2.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 40°, 100° and 50°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 70° and 40°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  6. 6.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  7. 7.The minute hand of a clock turns clockwise from 11 to 4. How many degrees does it turn?
  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 North and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  10. 10.Three angles together make a straight line. Two of them are 90° and 50°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  12. 12.An angle measures 120°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  13. 13.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  14. 14.You face West and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  15. 15.Four angles meet at a point. Three of them are 80°, 30° and 200°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 90° and 75°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 70° and 45°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 70°, 40° and 240°. What is the fourth angle (in degrees)?
  19. 19.An angle measures 340°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  20. 20.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  21. 21.The minute hand of a clock turns clockwise from 10 to 2. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  23. 23.An angle measures 30°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  24. 24.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  25. 25.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  27. 27.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 50° and 170°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 35° and 85°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 100°, 50° and 40°. What is the fourth angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  32. 32.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  33. 33.Four angles meet at a point. Three of them are 40°, 90° and 60°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 60°, 40° and 110°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 80°, 70° and 160°. What is the fourth angle (in degrees)?
  36. 36.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 25° and 35°. What is the third angle (in degrees)?
  38. 38.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  39. 39.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  40. 40.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?

Answer key

  1. Right
  2. 60
  3. 170
  4. 160
  5. 60
  6. West
  7. 150
  8. 130
  9. East
  10. 40
  11. 85
  12. Obtuse
  13. North
  14. South
  15. 50
  16. 15
  17. 65
  18. 10
  19. Reflex
  20. Straight
  21. 120
  22. 180
  23. Acute
  24. North
  25. 90
  26. 30
  27. 36
  28. 50
  29. 60
  30. 170
  31. 70
  32. North
  33. 170
  34. 150
  35. 50
  36. 36
  37. 120
  38. 15
  39. 90
  40. 30

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