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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 798 · 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.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) North (c) South (d) East
  2. 2.Three angles together make a straight line. Two of them are 25° and 120°. What is the third angle (in degrees)?
  3. 3.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  5. 5.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  6. 6.You face South and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  7. 7.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 30°, 90° and 90°. What is the fourth angle (in degrees)?
  9. 9.The minute hand of a clock turns clockwise from 3 to 9. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 50°, 60° and 40°. What is the fourth angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 30° and 35°. What is the third angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 30°, 50° and 160°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 80°, 30° and 200°. What is the fourth angle (in degrees)?
  14. 14.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  15. 15.An angle measures 355°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  16. 16.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  17. 17.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  18. 18.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  19. 19.An angle measures 265°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  20. 20.Four angles meet at a point. Three of them are 40°, 50° and 70°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 90°, 90° and 50°. What is the fourth angle (in degrees)?
  22. 22.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  24. 24.You face West and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  25. 25.Four angles meet at a point. Three of them are 30°, 80° and 40°. What is the fourth angle (in degrees)?
  26. 26.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 40°, 100° and 170°. What is the fourth angle (in degrees)?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Right (b) Straight (c) Acute
  29. 29.Four angles meet at a point. Three of them are 80°, 40° and 160°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 70° and 30°. What is the third angle (in degrees)?
  31. 31.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) North (d) East
  32. 32.Four angles meet at a point. Three of them are 60°, 90° and 90°. What is the fourth angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 100°, 40° and 160°. What is the fourth angle (in degrees)?
  34. 34.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  35. 35.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  36. 36.An angle measures 210°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  37. 37.An angle measures 85°. What kind of angle is it? (a) Acute (b) Straight (c) Right
  38. 38.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  39. 39.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  40. 40.An angle measures 145°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex

Answer key

  1. South
  2. 35
  3. 36
  4. 40
  5. 300
  6. West
  7. 60
  8. 150
  9. 180
  10. 210
  11. 115
  12. 120
  13. 50
  14. 90
  15. Reflex
  16. 18
  17. 30
  18. 45
  19. Reflex
  20. 200
  21. 130
  22. 60
  23. 120
  24. East
  25. 210
  26. 72
  27. 50
  28. Straight
  29. 80
  30. 80
  31. North
  32. 120
  33. 60
  34. 30
  35. East
  36. Reflex
  37. Acute
  38. Right
  39. 20
  40. Obtuse

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