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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 167 · 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.

NameDateTime takenScore ___ / 40
  1. 1.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) East (d) West
  2. 2.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  3. 3.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  4. 4.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  5. 5.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  6. 6.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  7. 7.Three angles together make a straight line. Two of them are 25° and 70°. What is the third angle (in degrees)?
  8. 8.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 65° and 15°. What is the third angle (in degrees)?
  11. 11.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  12. 12.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  13. 13.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 100°, 30° and 80°. What is the fourth angle (in degrees)?
  15. 15.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  16. 16.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) North (c) South (d) West
  17. 17.Three angles together make a straight line. Two of them are 60° and 20°. What is the third angle (in degrees)?
  18. 18.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  19. 19.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 30°, 30° and 250°. What is the fourth angle (in degrees)?
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 80°, 80° and 100°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 10°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  25. 25.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
  26. 26.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  27. 27.An angle measures 15°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  28. 28.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  29. 29.An angle measures 175°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  30. 30.An angle measures 30°. What kind of angle is it? (a) Reflex (b) Right (c) Acute
  31. 31.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  32. 32.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) South (d) East
  33. 33.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  34. 34.Four angles meet at a point. Three of them are 40°, 80° and 100°. What is the fourth angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 10° and 155°. What is the third angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 100° and 70°. What is the third angle (in degrees)?
  37. 37.An angle measures 270°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  38. 38.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  39. 39.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 70° and 50°. What is the third angle (in degrees)?

Answer key

  1. East
  2. North
  3. 270
  4. Right
  5. 60
  6. South
  7. 85
  8. 120
  9. 75
  10. 100
  11. South
  12. 240
  13. 85
  14. 150
  15. 36
  16. North
  17. 100
  18. South
  19. 90
  20. 50
  21. 30
  22. 60
  23. 100
  24. Acute
  25. 100
  26. Reflex
  27. Acute
  28. Straight
  29. Obtuse
  30. Acute
  31. South
  32. West
  33. North
  34. 140
  35. 15
  36. 10
  37. Reflex
  38. East
  39. 15
  40. 60

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