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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 50 · 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 straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 180°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  3. 3.Four angles meet at a point. Three of them are 90°, 40° and 50°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 20° and 110°. What is the third angle (in degrees)?
  5. 5.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) West (d) East
  6. 6.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) West (d) South
  7. 7.Four angles meet at a point. Three of them are 100°, 30° and 130°. What is the fourth angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 8 to 6. How many degrees does it turn?
  9. 9.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  10. 10.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 35° and 40°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  13. 13.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  14. 14.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  15. 15.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  16. 16.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  17. 17.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  18. 18.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  19. 19.An angle measures 160°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  20. 20.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  21. 21.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?
  22. 22.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 50°, 60° and 130°. What is the fourth angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 80° and 75°. What is the third angle (in degrees)?
  25. 25.An angle measures 90°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  26. 26.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 15° and 10°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 80°, 70° and 190°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 80°, 30° and 70°. What is the fourth angle (in degrees)?
  30. 30.You face South and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  31. 31.An angle measures 30°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  32. 32.An angle measures 275°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  33. 33.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  34. 34.Four angles meet at a point. Three of them are 30°, 40° and 80°. What is the fourth angle (in degrees)?
  35. 35.You face North and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  36. 36.Three angles together make a straight line. Two of them are 100° and 60°. What is the third angle (in degrees)?
  37. 37.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  38. 38.Three angles together make a straight line. Two of them are 35° and 65°. What is the third angle (in degrees)?
  39. 39.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 90°, 80° and 70°. What is the fourth angle (in degrees)?

Answer key

  1. 45
  2. Straight
  3. 180
  4. 50
  5. West
  6. West
  7. 100
  8. 300
  9. North
  10. 35
  11. 105
  12. 85
  13. 90
  14. 40
  15. East
  16. 36
  17. 60
  18. South
  19. Obtuse
  20. 300
  21. 330
  22. 20
  23. 120
  24. 25
  25. Right
  26. 36
  27. 155
  28. 20
  29. 180
  30. North
  31. Acute
  32. Reflex
  33. 210
  34. 210
  35. East
  36. 20
  37. 30
  38. 80
  39. 60
  40. 120

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