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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 288 · 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 100° and 25°. What is the third angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 40°, 100° and 190°. What is the fourth angle (in degrees)?
  3. 3.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  4. 4.An angle measures 20°. What kind of angle is it? (a) Right (b) Acute (c) Obtuse
  5. 5.Four angles meet at a point. Three of them are 60°, 40° and 190°. What is the fourth angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 60°, 90° and 60°. What is the fourth angle (in degrees)?
  7. 7.Three angles together make a straight line. Two of them are 85° and 55°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  9. 9.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  10. 10.Three angles together make a straight line. Two of them are 30° and 15°. What is the third angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 80°, 30° and 140°. What is the fourth angle (in degrees)?
  12. 12.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  13. 13.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  14. 14.Four angles meet at a point. Three of them are 60°, 30° and 70°. What is the fourth angle (in degrees)?
  15. 15.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  16. 16.Four angles meet at a point. Three of them are 30°, 40° and 40°. What is the fourth angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 55° and 30°. What is the third angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 50° and 30°. What is the fourth angle (in degrees)?
  19. 19.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 40°, 90° and 130°. What is the fourth angle (in degrees)?
  21. 21.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  22. 22.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  24. 24.The minute hand of a clock turns clockwise from 8 to 3. How many degrees does it turn?
  25. 25.An angle measures 340°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  26. 26.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  27. 27.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 90°, 30° and 50°. What is the fourth angle (in degrees)?
  29. 29.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 25° and 20°. What is the third angle (in degrees)?
  31. 31.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  32. 32.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  33. 33.An angle measures 335°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  34. 34.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  35. 35.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 70°, 60° and 50°. What is the fourth angle (in degrees)?
  37. 37.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  40. 40.The minute hand of a clock turns clockwise from 10 to 7. How many degrees does it turn?

Answer key

  1. 55
  2. 30
  3. 270
  4. Acute
  5. 70
  6. 150
  7. 40
  8. 85
  9. North
  10. 135
  11. 110
  12. East
  13. Right
  14. 200
  15. South
  16. 250
  17. 95
  18. 250
  19. 45
  20. 100
  21. West
  22. 90
  23. 30
  24. 210
  25. Reflex
  26. Straight
  27. 15
  28. 190
  29. 30
  30. 135
  31. Obtuse
  32. 20
  33. Reflex
  34. 120
  35. 72
  36. 180
  37. 40
  38. 120
  39. 60
  40. 270

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