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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 30 · 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.

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  1. 1.Three angles together make a straight line. Two of them are 75° and 90°. What is the third angle (in degrees)?
  2. 2.An angle measures 45°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  3. 3.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  4. 4.An angle measures 115°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  5. 5.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) North (d) East
  6. 6.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  8. 8.Three angles together make a straight line. Two of them are 100° and 65°. What is the third angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 6 to 8. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 60°, 40° and 80°. What is the fourth angle (in degrees)?
  11. 11.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 70°, 80° and 160°. What is the fourth angle (in degrees)?
  13. 13.An angle measures 240°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  14. 14.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  15. 15.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  18. 18.An angle measures 285°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  19. 19.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  20. 20.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 45° and 40°. What is the third angle (in degrees)?
  22. 22.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  24. 24.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  25. 25.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  26. 26.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 65° and 25°. What is the third angle (in degrees)?
  28. 28.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  29. 29.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  30. 30.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  31. 31.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  32. 32.An angle measures 30°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  33. 33.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  34. 34.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  35. 35.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 85° and 15°. What is the third angle (in degrees)?
  37. 37.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  38. 38.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  39. 39.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  40. 40.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West

Answer key

  1. 15
  2. Acute
  3. 60
  4. Obtuse
  5. West
  6. 30
  7. 60
  8. 15
  9. 60
  10. 180
  11. 30
  12. 50
  13. Reflex
  14. Right
  15. 45
  16. 60
  17. 240
  18. Reflex
  19. North
  20. 45
  21. 95
  22. 40
  23. 240
  24. East
  25. 90
  26. 30
  27. 90
  28. North
  29. Straight
  30. 20
  31. East
  32. Acute
  33. North
  34. South
  35. 120
  36. 80
  37. South
  38. East
  39. West
  40. West

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