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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 435 · 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.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  2. 2.An angle measures 290°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  3. 3.Four angles meet at a point. Three of them are 100°, 40° and 180°. What is the fourth angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 3 to 6. How many degrees does it turn?
  5. 5.An angle measures 95°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  6. 6.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  7. 7.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  8. 8.Three angles together make a straight line. Two of them are 70° and 55°. What is the third angle (in degrees)?
  9. 9.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  10. 10.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  11. 11.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  12. 12.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  13. 13.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  14. 14.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  15. 15.Three angles together make a straight line. Two of them are 10° and 90°. What is the third angle (in degrees)?
  16. 16.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  17. 17.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  18. 18.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  19. 19.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  20. 20.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 15° and 15°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 50° and 25°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  25. 25.The minute hand of a clock turns clockwise from 12 to 8. How many degrees does it turn?
  26. 26.The minute hand of a clock turns clockwise from 4 to 12. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 15° and 100°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  29. 29.An angle measures 5°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  30. 30.An angle measures 155°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  31. 31.An angle measures 80°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  32. 32.An angle measures 120°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  33. 33.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  34. 34.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  35. 35.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  36. 36.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  37. 37.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  38. 38.An angle measures 110°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  39. 39.Three angles together make a straight line. Two of them are 35° and 95°. What is the third angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 60°, 60° and 170°. What is the fourth angle (in degrees)?

Answer key

  1. North
  2. Reflex
  3. 40
  4. 90
  5. Obtuse
  6. Straight
  7. North
  8. 55
  9. 120
  10. 36
  11. West
  12. South
  13. 90
  14. West
  15. 80
  16. Right
  17. South
  18. 55
  19. South
  20. 90
  21. 45
  22. 150
  23. 105
  24. 90
  25. 240
  26. 240
  27. 65
  28. 60
  29. Acute
  30. Obtuse
  31. Acute
  32. Obtuse
  33. South
  34. 18
  35. East
  36. 90
  37. West
  38. Obtuse
  39. 50
  40. 70

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