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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 874 · 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 South and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  2. 2.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  4. 4.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  5. 5.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  6. 6.Four angles meet at a point. Three of them are 40°, 60° and 110°. What is the fourth angle (in degrees)?
  7. 7.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 280°. What kind of angle is it? (a) Reflex (b) Straight (c) Right
  9. 9.Four angles meet at a point. Three of them are 80°, 40° and 70°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  11. 11.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  13. 13.An angle measures 10°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  14. 14.An angle measures 205°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  15. 15.Three angles together make a straight line. Two of them are 55° and 95°. What is the third angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 95° and 30°. What is the third angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 70° and 30°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  19. 19.An angle measures 130°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  20. 20.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  21. 21.The minute hand of a clock turns clockwise from 12 to 11. How many degrees does it turn?
  22. 22.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  23. 23.A straight angle (180°) is split into 5 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.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  26. 26.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  27. 27.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  28. 28.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) East (c) South (d) West
  29. 29.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  30. 30.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  31. 31.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  32. 32.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  33. 33.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 100°, 50° and 130°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 40°, 30° and 160°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 70°, 80° and 40°. What is the fourth angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  40. 40.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. North
  2. 45
  3. Right
  4. 45
  5. South
  6. 150
  7. 18
  8. Reflex
  9. 170
  10. 180
  11. 90
  12. 55
  13. Acute
  14. Reflex
  15. 30
  16. 55
  17. 80
  18. 85
  19. Obtuse
  20. East
  21. 330
  22. East
  23. 36
  24. 20
  25. 90
  26. 60
  27. Straight
  28. East
  29. 70
  30. North
  31. 15
  32. North
  33. 30
  34. 80
  35. 130
  36. 150
  37. 170
  38. 115
  39. 330
  40. 60

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