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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 701 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 40°, 30° and 50°. What is the fourth angle (in degrees)?
  3. 3.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  4. 4.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  5. 5.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  6. 6.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  7. 7.The minute hand of a clock turns clockwise from 6 to 11. How many degrees does it turn?
  8. 8.An angle measures 295°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  9. 9.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 65° and 35°. What is the third angle (in degrees)?
  11. 11.An angle measures 155°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  12. 12.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 50°, 80° and 120°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 65° and 80°. What is the third angle (in degrees)?
  15. 15.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  17. 17.The minute hand of a clock turns clockwise from 4 to 12. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 30°, 70° and 70°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 100°, 50° and 70°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 45° and 90°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  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 30° and 55°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 70° and 190°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 55° and 65°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 100° and 150°. What is the fourth angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 80°, 50° and 100°. What is the fourth angle (in degrees)?
  30. 30.An angle measures 120°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  31. 31.Three angles together make a straight line. Two of them are 25° and 30°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  33. 33.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  34. 34.The minute hand of a clock turns clockwise from 5 to 3. How many degrees does it turn?
  35. 35.The minute hand of a clock turns clockwise from 8 to 4. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 5 to 8. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 85° and 65°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 100°, 50° and 100°. What is the fourth angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 80°, 30° and 50°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 80°, 100° and 30°. What is the fourth angle (in degrees)?

Answer key

  1. 120
  2. 240
  3. 30
  4. North
  5. Straight
  6. 150
  7. 150
  8. Reflex
  9. 120
  10. 80
  11. Obtuse
  12. 90
  13. 110
  14. 35
  15. 15
  16. 240
  17. 240
  18. 190
  19. 85
  20. 140
  21. 45
  22. 90
  23. 36
  24. 95
  25. 60
  26. 60
  27. 70
  28. 85
  29. 130
  30. Obtuse
  31. 125
  32. 150
  33. South
  34. 300
  35. 240
  36. 90
  37. 30
  38. 110
  39. 200
  40. 150

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