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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 239 · 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 clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  2. 2.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  3. 3.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  4. 4.Four angles meet at a point. Three of them are 90°, 80° and 110°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 40°, 90° and 150°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  7. 7.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  8. 8.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  10. 10.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 50° and 35°. What is the third angle (in degrees)?
  12. 12.An angle measures 235°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  13. 13.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  14. 14.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  15. 15.Four angles meet at a point. Three of them are 30°, 30° and 250°. What is the fourth angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  17. 17.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  18. 18.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  19. 19.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  20. 20.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  21. 21.An angle measures 275°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  22. 22.The minute hand of a clock turns clockwise from 8 to 9. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 80°, 80° and 40°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  25. 25.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  26. 26.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  29. 29.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  30. 30.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  31. 31.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  32. 32.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 50°, 40° and 80°. What is the fourth angle (in degrees)?
  34. 34.An angle measures 20°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  35. 35.Four angles meet at a point. Three of them are 50°, 30° and 130°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 8 to 10. How many degrees does it turn?
  39. 39.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  40. 40.Four angles meet at a point. Three of them are 70°, 60° and 40°. What is the fourth angle (in degrees)?

Answer key

  1. East
  2. West
  3. West
  4. 80
  5. 80
  6. 15
  7. South
  8. 36
  9. Obtuse
  10. 36
  11. 95
  12. Reflex
  13. Right
  14. 150
  15. 50
  16. 120
  17. 15
  18. West
  19. South
  20. West
  21. Reflex
  22. 30
  23. 160
  24. 210
  25. 60
  26. 30
  27. 150
  28. Straight
  29. East
  30. 120
  31. South
  32. 30
  33. 190
  34. Acute
  35. 150
  36. 330
  37. 25
  38. 60
  39. North
  40. 190

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