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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 58 · 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 4 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  4. 4.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  5. 5.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  6. 6.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  7. 7.The minute hand of a clock turns clockwise from 10 to 3. How many degrees does it turn?
  8. 8.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  10. 10.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  11. 11.Three angles together make a straight line. Two of them are 95° and 70°. What is the third angle (in degrees)?
  12. 12.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 60° and 110°. What is the third angle (in degrees)?
  15. 15.An angle measures 145°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  16. 16.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 60°, 90° and 30°. What is the fourth angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 12 to 1. How many degrees does it turn?
  20. 20.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  22. 22.An angle measures 5°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  23. 23.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  24. 24.Three angles together make a straight line. Two of them are 10° and 75°. What is the third angle (in degrees)?
  25. 25.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  26. 26.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  27. 27.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 4 to 2. How many degrees does it turn?
  29. 29.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  30. 30.An angle measures 175°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  31. 31.Four angles meet at a point. Three of them are 80°, 100° and 100°. What is the fourth angle (in degrees)?
  32. 32.An angle measures 90°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  33. 33.Four angles meet at a point. Three of them are 40°, 50° and 100°. What is the fourth angle (in degrees)?
  34. 34.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  35. 35.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  36. 36.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  37. 37.An angle measures 10°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Acute
  38. 38.Four angles meet at a point. Three of them are 50°, 70° and 30°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 245°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  40. 40.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West

Answer key

  1. 90
  2. 72
  3. Straight
  4. West
  5. 45
  6. North
  7. 150
  8. 120
  9. 30
  10. East
  11. 15
  12. Acute
  13. 36
  14. 10
  15. Obtuse
  16. 60
  17. 270
  18. 180
  19. 30
  20. 18
  21. 50
  22. Acute
  23. West
  24. 95
  25. North
  26. West
  27. 90
  28. 300
  29. East
  30. Obtuse
  31. 80
  32. Right
  33. 170
  34. West
  35. East
  36. 115
  37. Acute
  38. 210
  39. Reflex
  40. North

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