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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 329 · 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 10° and 75°. What is the third angle (in degrees)?
  2. 2.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  3. 3.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  4. 4.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  5. 5.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  6. 6.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  7. 7.Three angles together make a straight line. Two of them are 15° and 80°. What is the third angle (in degrees)?
  8. 8.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  9. 9.The minute hand of a clock turns clockwise from 4 to 8. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 60° and 40°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 70°, 40° and 30°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 3 to 4. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  16. 16.An angle measures 105°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  17. 17.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  18. 18.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  19. 19.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  20. 20.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  21. 21.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  22. 22.Four angles meet at a point. Three of them are 90°, 30° and 40°. What is the fourth angle (in degrees)?
  23. 23.An angle measures 45°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  24. 24.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  25. 25.An angle measures 355°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  26. 26.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  27. 27.An angle measures 100°. What kind of angle is it? (a) Straight (b) Obtuse (c) Right
  28. 28.Three angles together make a straight line. Two of them are 10° and 30°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  30. 30.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  31. 31.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 55° and 95°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 10° and 80°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 25° and 65°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 30°, 100° and 40°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 60° and 15°. What is the third angle (in degrees)?
  37. 37.The minute hand of a clock turns clockwise from 10 to 12. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 60° and 105°. What is the third angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 4 to 10. How many degrees does it turn?
  40. 40.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North

Answer key

  1. 95
  2. 36
  3. South
  4. East
  5. Obtuse
  6. Acute
  7. 85
  8. 300
  9. 120
  10. 80
  11. 18
  12. 220
  13. 30
  14. 35
  15. 15
  16. Obtuse
  17. Straight
  18. 210
  19. 30
  20. North
  21. Right
  22. 200
  23. Acute
  24. North
  25. Reflex
  26. 120
  27. Obtuse
  28. 140
  29. 30
  30. 72
  31. 60
  32. 30
  33. 90
  34. 90
  35. 190
  36. 105
  37. 60
  38. 15
  39. 180
  40. West

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