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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 114 · 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.

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  1. 1.Three angles together make a straight line. Two of them are 30° and 25°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 3 to 7. How many degrees does it turn?
  4. 4.Three angles together make a straight line. Two of them are 35° and 70°. What is the third angle (in degrees)?
  5. 5.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  6. 6.An angle measures 10°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  7. 7.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  8. 8.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
  10. 10.The minute hand of a clock turns clockwise from 8 to 1. How many degrees does it turn?
  11. 11.An angle measures 120°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  12. 12.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  13. 13.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  14. 14.Four angles meet at a point. Three of them are 80°, 100° and 130°. What is the fourth angle (in degrees)?
  15. 15.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  16. 16.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  17. 17.Four angles meet at a point. Three of them are 60°, 30° and 180°. What is the fourth angle (in degrees)?
  18. 18.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 45° and 55°. What is the third angle (in degrees)?
  20. 20.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  21. 21.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  23. 23.The minute hand of a clock turns clockwise from 11 to 1. How many degrees does it turn?
  24. 24.Three angles together make a straight line. Two of them are 40° and 25°. What is the third angle (in degrees)?
  25. 25.You face West and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) West (d) North
  26. 26.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  27. 27.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  28. 28.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  29. 29.Three angles together make a straight line. Two of them are 15° and 35°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 20° and 140°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 9 to 1. How many degrees does it turn?
  32. 32.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  33. 33.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  34. 34.The minute hand of a clock turns clockwise from 12 to 4. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 100°, 100° and 140°. What is the fourth angle (in degrees)?
  36. 36.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  37. 37.A full turn (360°) 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 100° and 35°. What is the third angle (in degrees)?
  39. 39.An angle measures 130°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  40. 40.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?

Answer key

  1. 125
  2. 70
  3. 120
  4. 75
  5. North
  6. Acute
  7. West
  8. 60
  9. 300
  10. 150
  11. Obtuse
  12. 180
  13. Obtuse
  14. 50
  15. 90
  16. West
  17. 90
  18. 30
  19. 80
  20. Right
  21. 150
  22. 30
  23. 60
  24. 115
  25. East
  26. 40
  27. North
  28. East
  29. 130
  30. 20
  31. 120
  32. 330
  33. 210
  34. 120
  35. 20
  36. South
  37. 60
  38. 45
  39. Obtuse
  40. 75

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