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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 201 · 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.An angle measures 55°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  2. 2.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  3. 3.An angle measures 215°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  4. 4.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  5. 5.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) North (c) East (d) South
  6. 6.An angle measures 120°. What kind of angle is it? (a) Straight (b) Reflex (c) Obtuse
  7. 7.Three angles together make a straight line. Two of them are 75° and 90°. What is the third angle (in degrees)?
  8. 8.Four angles meet at a point. Three of them are 40°, 100° and 60°. What is the fourth angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 40° and 65°. What is the third angle (in degrees)?
  10. 10.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) East (d) North
  11. 11.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  12. 12.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 30°, 50° and 170°. What is the fourth angle (in degrees)?
  14. 14.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  15. 15.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  16. 16.The minute hand of a clock turns clockwise from 7 to 5. How many degrees does it turn?
  17. 17.Three angles together make a straight line. Two of them are 55° and 90°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 65° and 75°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  20. 20.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  23. 23.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  24. 24.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  25. 25.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 55° and 115°. What is the third angle (in degrees)?
  27. 27.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  28. 28.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  29. 29.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  30. 30.Three angles together make a straight line. Two of them are 40° and 110°. What is the third angle (in degrees)?
  31. 31.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  32. 32.An angle measures 135°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  33. 33.Four angles meet at a point. Three of them are 80°, 40° and 30°. What is the fourth angle (in degrees)?
  34. 34.Four angles meet at a point. Three of them are 60°, 40° and 90°. What is the fourth angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 1 to 11. How many degrees does it turn?
  36. 36.Three angles together make a straight line. Two of them are 20° and 115°. What is the third angle (in degrees)?
  37. 37.An angle measures 315°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  38. 38.Four angles meet at a point. Three of them are 30°, 30° and 270°. What is the fourth angle (in degrees)?
  39. 39.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  40. 40.Three angles together make a straight line. Two of them are 15° and 30°. What is the third angle (in degrees)?

Answer key

  1. Acute
  2. South
  3. Reflex
  4. 45
  5. East
  6. Obtuse
  7. 15
  8. 160
  9. 75
  10. South
  11. North
  12. 20
  13. 110
  14. 15
  15. 60
  16. 300
  17. 35
  18. 40
  19. 65
  20. 120
  21. 30
  22. 60
  23. 120
  24. 36
  25. 30
  26. 10
  27. Straight
  28. 240
  29. 90
  30. 30
  31. 180
  32. Obtuse
  33. 210
  34. 170
  35. 300
  36. 45
  37. Reflex
  38. 30
  39. East
  40. 135

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