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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 115 · 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 55° and 110°. What is the third angle (in degrees)?
  2. 2.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  3. 3.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  4. 4.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  5. 5.An angle measures 180°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  6. 6.Four angles meet at a point. Three of them are 30°, 50° and 60°. What is the fourth angle (in degrees)?
  7. 7.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  8. 8.You face South and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) East (d) North
  9. 9.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) South (c) East (d) North
  10. 10.Three angles together make a straight line. Two of them are 50° and 110°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  12. 12.Three angles together make a straight line. Two of them are 10° and 75°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  14. 14.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 15°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  16. 16.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  17. 17.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  18. 18.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  19. 19.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) North (c) East (d) West
  20. 20.An angle measures 230°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  21. 21.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 15° and 105°. What is the third angle (in degrees)?
  23. 23.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  24. 24.Four angles meet at a point. Three of them are 70°, 80° and 70°. What is the fourth angle (in degrees)?
  25. 25.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  26. 26.An angle measures 170°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  27. 27.Three angles together make a straight line. Two of them are 25° and 120°. What is the third angle (in degrees)?
  28. 28.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  30. 30.The minute hand of a clock turns clockwise from 1 to 8. How many degrees does it turn?
  31. 31.An angle measures 135°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  32. 32.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  33. 33.You face North and turn clockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  34. 34.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 100°, 100° and 150°. What is the fourth angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 9 to 11. How many degrees does it turn?
  37. 37.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 1 to 6. How many degrees does it turn?
  39. 39.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  40. 40.Four angles meet at a point. Three of them are 90°, 40° and 30°. What is the fourth angle (in degrees)?

Answer key

  1. 15
  2. North
  3. 210
  4. 300
  5. Straight
  6. 220
  7. 45
  8. East
  9. North
  10. 20
  11. 300
  12. 95
  13. 150
  14. 36
  15. Acute
  16. 180
  17. Obtuse
  18. 45
  19. East
  20. Reflex
  21. 72
  22. 60
  23. West
  24. 140
  25. South
  26. Obtuse
  27. 35
  28. 18
  29. 40
  30. 210
  31. Obtuse
  32. 10
  33. South
  34. 30
  35. 10
  36. 60
  37. 90
  38. 150
  39. Right
  40. 200

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