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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 369 · 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.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 40°, 40° and 170°. What is the fourth angle (in degrees)?
  3. 3.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  4. 4.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 7 to 10. How many degrees does it turn?
  6. 6.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 30°, 30° and 130°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  10. 10.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  11. 11.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  12. 12.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 95° and 45°. What is the third angle (in degrees)?
  14. 14.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  15. 15.You face North and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  16. 16.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  17. 17.Three angles together make a straight line. Two of them are 90° and 60°. What is the third angle (in degrees)?
  18. 18.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 50°, 30° and 230°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 55° and 100°. What is the third angle (in degrees)?
  21. 21.An angle measures 285°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  22. 22.You face West and turn clockwise through 180°. Which direction do you face now? (a) North (b) East (c) West (d) South
  23. 23.Four angles meet at a point. Three of them are 40°, 30° and 160°. What is the fourth angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 35° and 90°. What is the third angle (in degrees)?
  26. 26.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  27. 27.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  28. 28.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  29. 29.An angle measures 160°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  30. 30.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  31. 31.You face East and turn clockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  32. 32.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  33. 33.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  34. 34.Four angles meet at a point. Three of them are 90°, 80° and 30°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  36. 36.Four angles meet at a point. Three of them are 60°, 30° and 120°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 90° and 80°. What is the fourth angle (in degrees)?
  38. 38.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  39. 39.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  40. 40.Three angles together make a straight line. Two of them are 20° and 135°. What is the third angle (in degrees)?

Answer key

  1. 72
  2. 110
  3. East
  4. 120
  5. 90
  6. 60
  7. 70
  8. 170
  9. 50
  10. North
  11. 120
  12. 60
  13. 40
  14. West
  15. South
  16. North
  17. 30
  18. 20
  19. 50
  20. 25
  21. Reflex
  22. East
  23. 130
  24. 60
  25. 55
  26. Straight
  27. 120
  28. South
  29. Obtuse
  30. 30
  31. West
  32. 30
  33. Obtuse
  34. 160
  35. 300
  36. 150
  37. 120
  38. West
  39. East
  40. 25

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