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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 750 · 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 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  2. 2.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  4. 4.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  5. 5.Four angles meet at a point. Three of them are 60°, 40° and 130°. What is the fourth angle (in degrees)?
  6. 6.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  7. 7.Four angles meet at a point. Three of them are 70°, 100° and 70°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 45° and 45°. What is the third angle (in degrees)?
  9. 9.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  10. 10.An angle measures 140°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  11. 11.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 45° and 10°. What is the third angle (in degrees)?
  13. 13.An angle measures 280°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  14. 14.An angle measures 275°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  15. 15.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  16. 16.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  17. 17.Four angles meet at a point. Three of them are 100°, 100° and 100°. What is the fourth angle (in degrees)?
  18. 18.An angle measures 260°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  19. 19.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  20. 20.An angle measures 340°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  21. 21.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 75°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  23. 23.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  24. 24.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 70°, 90° and 150°. What is the fourth angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 8 to 11. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 50° and 90°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  30. 30.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  31. 31.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  32. 32.Four angles meet at a point. Three of them are 50°, 70° and 180°. What is the fourth angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 40° and 40°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 30° and 45°. What is the third angle (in degrees)?
  35. 35.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  36. 36.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  37. 37.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  38. 38.Three angles together make a straight line. Two of them are 60° and 110°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?

Answer key

  1. North
  2. 18
  3. East
  4. 300
  5. 130
  6. South
  7. 120
  8. 90
  9. 90
  10. Obtuse
  11. 60
  12. 125
  13. Reflex
  14. Reflex
  15. 45
  16. Straight
  17. 60
  18. Reflex
  19. Right
  20. Reflex
  21. 120
  22. Acute
  23. 330
  24. 36
  25. 50
  26. 90
  27. 40
  28. 210
  29. 300
  30. East
  31. 60
  32. 60
  33. 100
  34. 105
  35. South
  36. West
  37. North
  38. 10
  39. 240
  40. 330

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