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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 227 · 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 4 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Obtuse
  3. 3.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 70°, 70° and 40°. What is the fourth angle (in degrees)?
  5. 5.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  6. 6.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) South (d) West
  7. 7.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 50°, 90° and 50°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  11. 11.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 50° and 30°. What is the third angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 50°, 70° and 30°. What is the fourth angle (in degrees)?
  14. 14.An angle measures 10°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  15. 15.An angle measures 115°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  16. 16.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) West (d) East
  17. 17.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  18. 18.Four angles meet at a point. Three of them are 50°, 40° and 70°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  20. 20.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) West (c) South (d) East
  21. 21.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  22. 22.Four angles meet at a point. Three of them are 30°, 80° and 30°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 50° and 55°. What is the third angle (in degrees)?
  25. 25.An angle measures 180°. What kind of angle is it? (a) Right (b) Reflex (c) Straight
  26. 26.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  27. 27.An angle measures 130°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  28. 28.Four angles meet at a point. Three of them are 70°, 40° and 120°. What is the fourth angle (in degrees)?
  29. 29.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  30. 30.The minute hand of a clock turns clockwise from 2 to 1. How many degrees does it turn?
  31. 31.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 80° and 90°. What is the third angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 60°, 100° and 80°. What is the fourth angle (in degrees)?
  34. 34.An angle measures 260°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  35. 35.An angle measures 80°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  36. 36.An angle measures 170°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  37. 37.An angle measures 145°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  38. 38.The minute hand of a clock turns clockwise from 3 to 1. How many degrees does it turn?
  39. 39.The minute hand of a clock turns clockwise from 4 to 7. How many degrees does it turn?
  40. 40.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?

Answer key

  1. 90
  2. Right
  3. 72
  4. 180
  5. 45
  6. North
  7. 85
  8. 75
  9. 170
  10. 30
  11. 60
  12. 100
  13. 210
  14. Acute
  15. Obtuse
  16. North
  17. 90
  18. 200
  19. 25
  20. South
  21. East
  22. 220
  23. 45
  24. 75
  25. Straight
  26. South
  27. Obtuse
  28. 130
  29. 30
  30. 330
  31. 45
  32. 10
  33. 120
  34. Reflex
  35. Acute
  36. Obtuse
  37. Obtuse
  38. 300
  39. 90
  40. 60

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