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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 5 · 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 100°, 30° and 100°. What is the fourth angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 50°, 50° and 70°. What is the fourth angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  4. 4.Four angles meet at a point. Three of them are 100°, 70° and 40°. What is the fourth angle (in degrees)?
  5. 5.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 25° and 95°. What is the third angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  8. 8.A straight angle (180°) is split into 5 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.Four angles meet at a point. Three of them are 30°, 60° and 220°. What is the fourth angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 30°, 100° and 150°. What is the fourth angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 2 to 7. How many degrees does it turn?
  13. 13.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  15. 15.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  16. 16.Four angles meet at a point. Three of them are 100°, 40° and 140°. What is the fourth angle (in degrees)?
  17. 17.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  18. 18.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 80°, 40° and 60°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 95° and 60°. What is the third angle (in degrees)?
  21. 21.An angle measures 340°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  22. 22.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  23. 23.Three angles together make a straight line. Two of them are 30° and 85°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 15° and 100°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 3 to 12. How many degrees does it turn?
  27. 27.An angle measures 110°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  28. 28.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 60°, 80° and 140°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 40°, 100° and 110°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 295°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  32. 32.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  33. 33.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  34. 34.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 45° and 120°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  37. 37.The minute hand of a clock turns clockwise from 10 to 6. How many degrees does it turn?
  38. 38.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  39. 39.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  40. 40.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North

Answer key

  1. 130
  2. 190
  3. East
  4. 150
  5. 30
  6. 60
  7. Straight
  8. 36
  9. 30
  10. 50
  11. 80
  12. 150
  13. 60
  14. Right
  15. 15
  16. 80
  17. North
  18. 30
  19. 180
  20. 25
  21. Reflex
  22. North
  23. 65
  24. 65
  25. 65
  26. 270
  27. Obtuse
  28. 90
  29. 80
  30. 110
  31. Reflex
  32. East
  33. East
  34. 120
  35. 15
  36. 240
  37. 240
  38. 20
  39. East
  40. East

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