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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 757 · 40 sums
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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 North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  2. 2.Three angles together make a straight line. Two of them are 30° and 70°. What is the third angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  4. 4.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  5. 5.An angle measures 10°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  6. 6.Four angles meet at a point. Three of them are 40°, 90° and 70°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 105°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  8. 8.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 11 to 3. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 85° and 30°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  12. 12.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 50°, 80° and 130°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 40°, 40° and 50°. What is the fourth angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 50°, 30° and 60°. What is the fourth angle (in degrees)?
  16. 16.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  17. 17.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  18. 18.An angle measures 255°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  19. 19.You face South and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  20. 20.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 95° and 65°. What is the third angle (in degrees)?
  22. 22.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  23. 23.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  24. 24.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  25. 25.An angle measures 320°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  26. 26.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 30° and 40°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 90° and 110°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 40°, 30° and 100°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 60°, 90° and 50°. What is the fourth angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 50°, 60° and 210°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  35. 35.An angle measures 70°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  36. 36.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 30°, 80° and 40°. What is the fourth angle (in degrees)?
  38. 38.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  39. 39.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  40. 40.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?

Answer key

  1. South
  2. 80
  3. Straight
  4. South
  5. Acute
  6. 160
  7. Obtuse
  8. 180
  9. 120
  10. 65
  11. 300
  12. 60
  13. 100
  14. 230
  15. 220
  16. 20
  17. West
  18. Reflex
  19. West
  20. 120
  21. 20
  22. Obtuse
  23. East
  24. Right
  25. Reflex
  26. 90
  27. 110
  28. 70
  29. 190
  30. 160
  31. 330
  32. 40
  33. 80
  34. 150
  35. Acute
  36. 70
  37. 210
  38. 15
  39. South
  40. 120

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