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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 732 · 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.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 165°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  3. 3.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  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.An angle measures 295°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  7. 7.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 100°, 60° and 60°. What is the fourth angle (in degrees)?
  9. 9.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  10. 10.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  11. 11.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 50°, 80° and 150°. What is the fourth angle (in degrees)?
  13. 13.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 85°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  15. 15.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  16. 16.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 90° and 40°. What is the third angle (in degrees)?
  18. 18.An angle measures 105°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  19. 19.An angle measures 225°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  20. 20.Four angles meet at a point. Three of them are 60°, 100° and 80°. What is the fourth angle (in degrees)?
  21. 21.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  22. 22.Four angles meet at a point. Three of them are 100°, 30° and 190°. What is the fourth angle (in degrees)?
  23. 23.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  24. 24.An angle measures 210°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  25. 25.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  26. 26.Three angles together make a straight line. Two of them are 70° and 85°. What is the third angle (in degrees)?
  27. 27.An angle measures 285°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  28. 28.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  29. 29.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  31. 31.Four angles meet at a point. Three of them are 40°, 50° and 90°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  33. 33.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  34. 34.You face West and turn anticlockwise through 270°. 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 70° and 75°. What is the third angle (in degrees)?
  36. 36.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  37. 37.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 70°, 30° and 250°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 55° and 105°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 60° and 110°. What is the third angle (in degrees)?

Answer key

  1. 36
  2. Obtuse
  3. 90
  4. 180
  5. 80
  6. Reflex
  7. 120
  8. 140
  9. 20
  10. North
  11. 240
  12. 80
  13. 90
  14. Acute
  15. 300
  16. 18
  17. 50
  18. Obtuse
  19. Reflex
  20. 120
  21. West
  22. 40
  23. Right
  24. Reflex
  25. North
  26. 25
  27. Reflex
  28. East
  29. 40
  30. 60
  31. 180
  32. 300
  33. 45
  34. North
  35. 35
  36. South
  37. 45
  38. 10
  39. 20
  40. 10

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