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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 533 · 40 sums
TalentJR

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 6 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  3. 3.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  4. 4.An angle measures 150°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  5. 5.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 25° and 95°. What is the third angle (in degrees)?
  9. 9.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  11. 11.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  13. 13.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 15° and 100°. What is the third angle (in degrees)?
  15. 15.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  16. 16.An angle measures 275°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  17. 17.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  18. 18.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  19. 19.Four angles meet at a point. Three of them are 90°, 50° and 80°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 85° and 55°. What is the third angle (in degrees)?
  22. 22.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 35° and 55°. What is the third angle (in degrees)?
  24. 24.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  25. 25.An angle measures 30°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  26. 26.Four angles meet at a point. Three of them are 50°, 100° and 80°. What is the fourth angle (in degrees)?
  27. 27.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  28. 28.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 80°, 50° and 70°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 80°, 40° and 30°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  32. 32.Three angles together make a straight line. Two of them are 100° and 55°. What is the third angle (in degrees)?
  33. 33.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  35. 35.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  36. 36.An angle measures 310°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  37. 37.An angle measures 60°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  38. 38.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  40. 40.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?

Answer key

  1. 30
  2. Right
  3. South
  4. Obtuse
  5. 20
  6. 75
  7. 70
  8. 60
  9. 90
  10. 30
  11. 18
  12. 180
  13. 72
  14. 65
  15. West
  16. Reflex
  17. 90
  18. East
  19. 140
  20. 100
  21. 40
  22. Straight
  23. 90
  24. West
  25. Acute
  26. 130
  27. West
  28. 120
  29. 160
  30. 210
  31. Reflex
  32. 25
  33. 90
  34. 90
  35. South
  36. Reflex
  37. Acute
  38. 30
  39. 150
  40. 36

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