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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 784 · 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.Three angles together make a straight line. Two of them are 30° and 110°. What is the third angle (in degrees)?
  2. 2.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  3. 3.An angle measures 155°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  4. 4.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  5. 5.An angle measures 105°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  6. 6.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 55° and 85°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 40°, 90° and 150°. What is the fourth angle (in degrees)?
  9. 9.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  11. 11.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 60°, 80° and 180°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 80°, 40° and 220°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 40°, 80° and 90°. What is the fourth angle (in degrees)?
  16. 16.Three angles together make a straight line. Two of them are 60° and 70°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 100°, 100° and 50°. What is the fourth angle (in degrees)?
  18. 18.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  19. 19.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  21. 21.Four angles meet at a point. Three of them are 40°, 60° and 180°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  23. 23.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  24. 24.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 30° and 30°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 80°, 40° and 70°. What is the fourth angle (in degrees)?
  27. 27.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  28. 28.You face West and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  29. 29.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  30. 30.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  31. 31.An angle measures 140°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  34. 34.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  35. 35.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) North (d) East
  36. 36.Four angles meet at a point. Three of them are 30°, 70° and 30°. What is the fourth angle (in degrees)?
  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.Three angles together make a straight line. Two of them are 10° and 160°. What is the third angle (in degrees)?
  39. 39.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  40. 40.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East

Answer key

  1. 40
  2. 60
  3. Obtuse
  4. Right
  5. Obtuse
  6. 60
  7. 40
  8. 80
  9. 30
  10. 300
  11. 45
  12. 40
  13. 20
  14. 45
  15. 150
  16. 50
  17. 110
  18. 90
  19. 36
  20. East
  21. 80
  22. 20
  23. North
  24. 150
  25. 120
  26. 170
  27. South
  28. North
  29. 90
  30. 60
  31. Obtuse
  32. 15
  33. South
  34. 120
  35. East
  36. 230
  37. North
  38. 10
  39. 18
  40. East

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