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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 686 · 40 sums
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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.

NameDateTime takenScore ___ / 40
  1. 1.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 65° and 60°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 40°, 80° and 110°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 20° and 100°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 65° and 95°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  7. 7.You face North and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  8. 8.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  9. 9.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  10. 10.Three angles together make a straight line. Two of them are 30° and 110°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 70° and 70°. What is the third angle (in degrees)?
  12. 12.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 355°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  14. 14.Four angles meet at a point. Three of them are 50°, 90° and 170°. What is the fourth angle (in degrees)?
  15. 15.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  16. 16.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  17. 17.Four angles meet at a point. Three of them are 100°, 60° and 80°. What is the fourth angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 15° and 50°. What is the third angle (in degrees)?
  19. 19.An angle measures 20°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  20. 20.Four angles meet at a point. Three of them are 60°, 60° and 210°. What is the fourth angle (in degrees)?
  21. 21.The minute hand of a clock turns clockwise from 5 to 2. How many degrees does it turn?
  22. 22.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  23. 23.Four angles meet at a point. Three of them are 100°, 50° and 50°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 345°. What kind of angle is it? (a) Reflex (b) Straight (c) Obtuse
  25. 25.Three angles together make a straight line. Two of them are 15° and 20°. What is the third angle (in degrees)?
  26. 26.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  28. 28.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 70°, 60° and 100°. What is the fourth angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 70°, 90° and 60°. What is the fourth angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 80°, 60° and 180°. What is the fourth angle (in degrees)?
  32. 32.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  33. 33.Four angles meet at a point. Three of them are 30°, 80° and 150°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 15° and 40°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 50°, 60° and 100°. What is the fourth angle (in degrees)?
  37. 37.An angle measures 295°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  38. 38.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  39. 39.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  40. 40.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?

Answer key

  1. 40
  2. 55
  3. 130
  4. 60
  5. 20
  6. 180
  7. East
  8. 90
  9. Right
  10. 40
  11. 40
  12. 36
  13. Reflex
  14. 50
  15. West
  16. West
  17. 120
  18. 115
  19. Acute
  20. 30
  21. 270
  22. 60
  23. 160
  24. Reflex
  25. 145
  26. 45
  27. 240
  28. 45
  29. 130
  30. 140
  31. 40
  32. South
  33. 100
  34. 125
  35. 125
  36. 150
  37. Reflex
  38. West
  39. Obtuse
  40. 60

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