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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 193 · 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.Four angles meet at a point. Three of them are 50°, 90° and 200°. What is the fourth angle (in degrees)?
  2. 2.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  4. 4.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 60°, 60° and 130°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 265°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  7. 7.An angle measures 190°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  8. 8.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 70° and 90°. What is the third angle (in degrees)?
  10. 10.Four angles meet at a point. Three of them are 40°, 40° and 150°. What is the fourth angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 30°, 90° and 170°. What is the fourth angle (in degrees)?
  12. 12.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 90°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  14. 14.Four angles meet at a point. Three of them are 60°, 50° and 120°. What is the fourth angle (in degrees)?
  15. 15.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  16. 16.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  17. 17.The minute hand of a clock turns clockwise from 6 to 4. How many degrees does it turn?
  18. 18.Three angles together make a straight line. Two of them are 15° and 25°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 65° and 10°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  22. 22.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  23. 23.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  24. 24.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  25. 25.Four angles meet at a point. Three of them are 50°, 30° and 230°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 50° and 70°. What is the third angle (in degrees)?
  27. 27.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 30°, 50° and 90°. What is the fourth angle (in degrees)?
  29. 29.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 35° and 15°. What is the third angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 70°, 40° and 90°. What is the fourth angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 10 to 9. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 40°, 50° and 30°. What is the fourth angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 6 to 5. How many degrees does it turn?
  35. 35.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  36. 36.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 40°, 60° and 40°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  39. 39.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?

Answer key

  1. 20
  2. 15
  3. West
  4. 30
  5. 110
  6. Reflex
  7. Reflex
  8. 36
  9. 20
  10. 130
  11. 70
  12. 60
  13. Right
  14. 130
  15. East
  16. Straight
  17. 300
  18. 140
  19. 105
  20. 60
  21. 30
  22. 120
  23. West
  24. East
  25. 50
  26. 60
  27. 90
  28. 190
  29. 18
  30. 130
  31. 160
  32. 330
  33. 240
  34. 330
  35. South
  36. 30
  37. 220
  38. 270
  39. 72
  40. 115

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