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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 424 · 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 9 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 15° and 90°. What is the third angle (in degrees)?
  3. 3.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  4. 4.An angle measures 145°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  5. 5.Four angles meet at a point. Three of them are 40°, 50° and 50°. What is the fourth angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 20° and 145°. What is the third angle (in degrees)?
  7. 7.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  8. 8.Three angles together make a straight line. Two of them are 55° and 50°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 50° and 10°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 75° and 45°. What is the third angle (in degrees)?
  12. 12.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  13. 13.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  14. 14.The minute hand of a clock turns clockwise from 10 to 4. How many degrees does it turn?
  15. 15.The minute hand of a clock turns clockwise from 5 to 11. How many degrees does it turn?
  16. 16.Four angles meet at a point. Three of them are 80°, 70° and 80°. What is the fourth angle (in degrees)?
  17. 17.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 40° and 80°. What is the third angle (in degrees)?
  19. 19.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 80°, 80° and 110°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 6 to 9. How many degrees does it turn?
  22. 22.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  23. 23.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  24. 24.The minute hand of a clock turns clockwise from 12 to 6. How many degrees does it turn?
  25. 25.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  26. 26.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  27. 27.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  28. 28.Four angles meet at a point. Three of them are 50°, 100° and 60°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 85° and 35°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 90°, 60° and 30°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 50°, 80° and 180°. What is the fourth angle (in degrees)?
  32. 32.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  33. 33.An angle measures 60°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  34. 34.The minute hand of a clock turns clockwise from 4 to 5. How many degrees does it turn?
  35. 35.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  36. 36.An angle measures 85°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  37. 37.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  38. 38.Three angles together make a straight line. Two of them are 80° and 60°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  40. 40.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West

Answer key

  1. 40
  2. 75
  3. Straight
  4. Obtuse
  5. 220
  6. 15
  7. Right
  8. 75
  9. 15
  10. 120
  11. 60
  12. 30
  13. South
  14. 180
  15. 180
  16. 130
  17. 15
  18. 60
  19. 20
  20. 90
  21. 90
  22. South
  23. West
  24. 180
  25. West
  26. North
  27. South
  28. 150
  29. 60
  30. 180
  31. 50
  32. 45
  33. Acute
  34. 30
  35. 120
  36. Acute
  37. North
  38. 40
  39. 210
  40. South

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