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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 641 · 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 40° and 75°. What is the third angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 55° and 95°. What is the third angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 5 to 9. How many degrees does it turn?
  4. 4.Four angles meet at a point. Three of them are 90°, 90° and 50°. What is the fourth angle (in degrees)?
  5. 5.You face East and turn clockwise through 180°. Which direction do you face now? (a) North (b) South (c) East (d) West
  6. 6.Four angles meet at a point. Three of them are 80°, 60° and 120°. What is the fourth angle (in degrees)?
  7. 7.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 260°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  9. 9.The minute hand of a clock turns clockwise from 7 to 6. How many degrees does it turn?
  10. 10.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  11. 11.The minute hand of a clock turns clockwise from 6 to 2. How many degrees does it turn?
  12. 12.Four angles meet at a point. Three of them are 40°, 30° and 50°. What is the fourth angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 90° and 70°. What is the third angle (in degrees)?
  14. 14.Four angles meet at a point. Three of them are 80°, 60° and 40°. What is the fourth angle (in degrees)?
  15. 15.Three angles together make a straight line. Two of them are 50° and 45°. What is the third angle (in degrees)?
  16. 16.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  17. 17.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  18. 18.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  19. 19.Three angles together make a straight line. Two of them are 45° and 30°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 35° and 105°. What is the third angle (in degrees)?
  21. 21.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  22. 22.An angle measures 15°. What kind of angle is it? (a) Straight (b) Acute (c) Reflex
  23. 23.The minute hand of a clock turns clockwise from 12 to 5. How many degrees does it turn?
  24. 24.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  26. 26.You face South and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  27. 27.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  29. 29.Four angles meet at a point. Three of them are 100°, 60° and 140°. What is the fourth angle (in degrees)?
  30. 30.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  31. 31.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  32. 32.The minute hand of a clock turns clockwise from 2 to 4. How many degrees does it turn?
  33. 33.Three angles together make a straight line. Two of them are 20° and 95°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 75° and 95°. What is the third angle (in degrees)?
  35. 35.An angle measures 300°. What kind of angle is it? (a) Straight (b) Right (c) Reflex
  36. 36.An angle measures 95°. What kind of angle is it? (a) Obtuse (b) Straight (c) Right
  37. 37.Three angles together make a straight line. Two of them are 50° and 90°. What is the third angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 60°, 30° and 250°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 60° and 35°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 90° and 55°. What is the third angle (in degrees)?

Answer key

  1. 65
  2. 30
  3. 120
  4. 130
  5. West
  6. 100
  7. 36
  8. Reflex
  9. 330
  10. South
  11. 240
  12. 240
  13. 20
  14. 180
  15. 85
  16. 15
  17. 30
  18. West
  19. 105
  20. 40
  21. West
  22. Acute
  23. 150
  24. 120
  25. 35
  26. West
  27. 90
  28. Straight
  29. 60
  30. 60
  31. 55
  32. 60
  33. 65
  34. 10
  35. Reflex
  36. Obtuse
  37. 40
  38. 20
  39. 85
  40. 35

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