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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 86 · 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 9 equal angles. How big is each angle (in degrees)?
  2. 2.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  3. 3.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 90°, 90° and 60°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 25° and 30°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  7. 7.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  8. 8.Four angles meet at a point. Three of them are 40°, 90° and 180°. What is the fourth angle (in degrees)?
  9. 9.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  11. 11.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  12. 12.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  13. 13.Three angles together make a straight line. Two of them are 100° and 20°. What is the third angle (in degrees)?
  14. 14.An angle measures 70°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  15. 15.Four angles meet at a point. Three of them are 70°, 60° and 200°. What is the fourth angle (in degrees)?
  16. 16.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 45° and 70°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 100° and 70°. What is the third angle (in degrees)?
  19. 19.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 90° and 45°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 50° and 50°. What is the third angle (in degrees)?
  22. 22.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  23. 23.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  24. 24.Four angles meet at a point. Three of them are 30°, 40° and 110°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 75°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  26. 26.An angle measures 125°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  27. 27.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 50°, 70° and 90°. What is the fourth angle (in degrees)?
  29. 29.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  30. 30.An angle measures 345°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  31. 31.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  32. 32.Three angles together make a straight line. Two of them are 75° and 50°. What is the third angle (in degrees)?
  33. 33.An angle measures 150°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  34. 34.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 50°, 80° and 150°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 4 to 3. How many degrees does it turn?
  39. 39.Four angles meet at a point. Three of them are 30°, 100° and 150°. What is the fourth angle (in degrees)?
  40. 40.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North

Answer key

  1. 20
  2. North
  3. 90
  4. 120
  5. 125
  6. 270
  7. North
  8. 50
  9. 90
  10. Straight
  11. 330
  12. West
  13. 60
  14. Acute
  15. 30
  16. 15
  17. 65
  18. 10
  19. 45
  20. 45
  21. 80
  22. 60
  23. Acute
  24. 180
  25. Acute
  26. Obtuse
  27. 30
  28. 150
  29. 18
  30. Reflex
  31. East
  32. 55
  33. Obtuse
  34. 70
  35. 30
  36. 55
  37. 80
  38. 330
  39. 80
  40. South

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