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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 531 · 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 10 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 60°, 80° and 50°. What is the fourth angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 15° and 120°. What is the third angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 80°, 80° and 190°. What is the fourth angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 90°, 70° and 160°. What is the fourth angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 4 to 6. How many degrees does it turn?
  7. 7.An angle measures 195°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  8. 8.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  10. 10.An angle measures 295°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  11. 11.Three angles together make a straight line. Two of them are 55° and 40°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  13. 13.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  14. 14.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South
  15. 15.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  16. 16.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 35° and 110°. What is the third angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  19. 19.Three angles together make a straight line. Two of them are 20° and 55°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 40° and 90°. What is the third angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  22. 22.An angle measures 185°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  23. 23.Three angles together make a straight line. Two of them are 70° and 35°. What is the third angle (in degrees)?
  24. 24.An angle measures 155°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  25. 25.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  26. 26.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 100° and 80°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 60°, 30° and 130°. What is the fourth angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 15° and 80°. What is the third angle (in degrees)?
  30. 30.An angle measures 115°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  31. 31.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  32. 32.An angle measures 180°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  33. 33.An angle measures 100°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  34. 34.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  35. 35.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  36. 36.An angle measures 90°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  37. 37.Three angles together make a straight line. Two of them are 50° and 105°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 70°, 100° and 100°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 45° and 65°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 20° and 15°. What is the third angle (in degrees)?

Answer key

  1. 36
  2. 170
  3. 45
  4. 10
  5. 40
  6. 60
  7. Reflex
  8. 36
  9. 240
  10. Reflex
  11. 85
  12. 90
  13. East
  14. North
  15. South
  16. 30
  17. 35
  18. 60
  19. 105
  20. 50
  21. 20
  22. Reflex
  23. 75
  24. Obtuse
  25. 20
  26. 90
  27. 140
  28. 140
  29. 85
  30. Obtuse
  31. East
  32. Straight
  33. Obtuse
  34. 90
  35. West
  36. Right
  37. 25
  38. 90
  39. 70
  40. 145

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