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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 202 · 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 85° and 50°. What is the third angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 8 to 12. How many degrees does it turn?
  3. 3.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  5. 5.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  6. 6.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  7. 7.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  8. 8.You face North and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  9. 9.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  10. 10.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  11. 11.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 40°, 90° and 30°. What is the fourth angle (in degrees)?
  13. 13.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  14. 14.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  15. 15.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  16. 16.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 60° and 50°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 50°, 30° and 130°. What is the fourth angle (in degrees)?
  19. 19.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  21. 21.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  22. 22.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  23. 23.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 90° and 70°. What is the third angle (in degrees)?
  25. 25.An angle measures 185°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  26. 26.An angle measures 75°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  27. 27.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  28. 28.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  29. 29.Four angles meet at a point. Three of them are 30°, 60° and 50°. What is the fourth angle (in degrees)?
  30. 30.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  31. 31.Three angles together make a straight line. Two of them are 30° and 95°. What is the third angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 100°, 60° and 150°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 10° and 160°. What is the third angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 100°, 30° and 210°. What is the fourth angle (in degrees)?
  35. 35.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  36. 36.An angle measures 70°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  37. 37.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  38. 38.Three angles together make a straight line. Two of them are 75° and 90°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 70°, 30° and 80°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?

Answer key

  1. 45
  2. 120
  3. 18
  4. 300
  5. North
  6. South
  7. 15
  8. East
  9. 90
  10. 45
  11. 20
  12. 200
  13. West
  14. South
  15. Straight
  16. 210
  17. 70
  18. 150
  19. 36
  20. 60
  21. 240
  22. North
  23. 30
  24. 20
  25. Reflex
  26. Acute
  27. 30
  28. 210
  29. 220
  30. East
  31. 55
  32. 50
  33. 10
  34. 20
  35. 60
  36. Acute
  37. North
  38. 15
  39. 180
  40. 90

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