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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 811 · 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 4 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  3. 3.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  4. 4.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  5. 5.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 12 to 7. How many degrees does it turn?
  7. 7.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 100°, 90° and 40°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  10. 10.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 10° and 40°. What is the third angle (in degrees)?
  12. 12.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  13. 13.Four angles meet at a point. Three of them are 50°, 30° and 90°. What is the fourth angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 100°, 30° and 140°. What is the fourth angle (in degrees)?
  15. 15.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  16. 16.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  17. 17.Four angles meet at a point. Three of them are 40°, 30° and 80°. What is the fourth angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 50°, 60° and 240°. What is the fourth angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  20. 20.An angle measures 120°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  21. 21.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  22. 22.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  23. 23.Three angles together make a straight line. Two of them are 45° and 115°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 75° and 40°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 55° and 110°. What is the third angle (in degrees)?
  26. 26.An angle measures 30°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  27. 27.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  28. 28.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 75° and 90°. What is the third angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 90°, 100° and 40°. What is the fourth angle (in degrees)?
  31. 31.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 35° and 80°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 20° and 90°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 95° and 15°. What is the third angle (in degrees)?
  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 65° and 60°. What is the third angle (in degrees)?
  38. 38.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  39. 39.A straight angle (180°) is split into 9 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) East (c) South (d) West

Answer key

  1. 90
  2. 75
  3. Right
  4. 72
  5. 30
  6. 210
  7. 30
  8. 130
  9. 40
  10. 90
  11. 130
  12. West
  13. 190
  14. 90
  15. East
  16. 300
  17. 210
  18. 10
  19. 300
  20. Obtuse
  21. South
  22. Straight
  23. 20
  24. 65
  25. 15
  26. Acute
  27. West
  28. 15
  29. 15
  30. 130
  31. 60
  32. 240
  33. 65
  34. 70
  35. 70
  36. 90
  37. 55
  38. East
  39. 20
  40. East

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