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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 990 · 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.An angle measures 285°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  2. 2.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Reflex
  3. 3.Four angles meet at a point. Three of them are 60°, 100° and 30°. What is the fourth angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 80°, 100° and 170°. What is the fourth angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 15° and 85°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 15° and 70°. What is the third angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 7 to 12. How many degrees does it turn?
  8. 8.Three angles together make a straight line. Two of them are 20° and 25°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 90°, 90° and 100°. What is the fourth angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  11. 11.Four angles meet at a point. Three of them are 90°, 30° and 140°. What is the fourth angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  13. 13.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  14. 14.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  15. 15.Three angles together make a straight line. Two of them are 35° and 75°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 80°, 40° and 150°. What is the fourth angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  18. 18.An angle measures 135°. What kind of angle is it? (a) Acute (b) Straight (c) Obtuse
  19. 19.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  20. 20.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  21. 21.Three angles together make a straight line. Two of them are 90° and 20°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  23. 23.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  24. 24.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  26. 26.An angle measures 145°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  27. 27.Three angles together make a straight line. Two of them are 45° and 20°. What is the third angle (in degrees)?
  28. 28.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  29. 29.An angle measures 115°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  30. 30.Three angles together make a straight line. Two of them are 25° and 120°. What is the third angle (in degrees)?
  31. 31.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  32. 32.Three angles together make a straight line. Two of them are 75° and 30°. What is the third angle (in degrees)?
  33. 33.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  34. 34.An angle measures 270°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  35. 35.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  36. 36.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) East (d) South
  37. 37.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  38. 38.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 60°, 90° and 180°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?

Answer key

  1. Reflex
  2. Right
  3. 170
  4. 10
  5. 80
  6. 95
  7. 150
  8. 135
  9. 80
  10. 180
  11. 100
  12. 30
  13. East
  14. 210
  15. 70
  16. 90
  17. 240
  18. Obtuse
  19. 210
  20. North
  21. 70
  22. 60
  23. 15
  24. 120
  25. 36
  26. Obtuse
  27. 115
  28. 270
  29. Obtuse
  30. 35
  31. Straight
  32. 75
  33. South
  34. Reflex
  35. 90
  36. West
  37. North
  38. 30
  39. 30
  40. 180

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