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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 352 · 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.Four angles meet at a point. Three of them are 100°, 50° and 110°. What is the fourth angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 60°, 40° and 40°. What is the fourth angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 80°, 80° and 190°. What is the fourth angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 75° and 75°. What is the third angle (in degrees)?
  5. 5.Four angles meet at a point. Three of them are 40°, 40° and 190°. What is the fourth angle (in degrees)?
  6. 6.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  7. 7.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) South (c) West (d) North
  8. 8.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) South (b) North (c) East (d) West
  9. 9.The minute hand of a clock turns clockwise from 6 to 1. How many degrees does it turn?
  10. 10.Three angles together make a straight line. Two of them are 30° and 85°. What is the third angle (in degrees)?
  11. 11.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) North (c) East (d) South
  12. 12.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  14. 14.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  15. 15.Four angles meet at a point. Three of them are 70°, 90° and 80°. What is the fourth angle (in degrees)?
  16. 16.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  17. 17.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  18. 18.The minute hand of a clock turns clockwise from 4 to 9. How many degrees does it turn?
  19. 19.Four angles meet at a point. Three of them are 60°, 30° and 250°. What is the fourth angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 65° and 65°. What is the third angle (in degrees)?
  21. 21.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  22. 22.An angle measures 210°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  23. 23.Three angles together make a straight line. Two of them are 95° and 55°. What is the third angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 1 to 4. How many degrees does it turn?
  25. 25.Three angles together make a straight line. Two of them are 90° and 10°. What is the third angle (in degrees)?
  26. 26.An angle measures 145°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  27. 27.Four angles meet at a point. Three of them are 40°, 70° and 120°. What is the fourth angle (in degrees)?
  28. 28.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) West (d) North
  29. 29.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  30. 30.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  31. 31.An angle measures 295°. What kind of angle is it? (a) Straight (b) Reflex (c) Acute
  32. 32.An angle measures 180°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  33. 33.An angle measures 170°. What kind of angle is it? (a) Straight (b) Right (c) Obtuse
  34. 34.The minute hand of a clock turns clockwise from 9 to 7. How many degrees does it turn?
  35. 35.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 100° and 10°. What is the third angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 70°, 50° and 190°. What is the fourth angle (in degrees)?
  38. 38.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 30°, 30° and 220°. What is the fourth angle (in degrees)?
  40. 40.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East

Answer key

  1. 100
  2. 220
  3. 10
  4. 30
  5. 90
  6. 30
  7. North
  8. East
  9. 210
  10. 65
  11. South
  12. 72
  13. Right
  14. 36
  15. 120
  16. 60
  17. North
  18. 150
  19. 20
  20. 50
  21. 30
  22. Reflex
  23. 30
  24. 90
  25. 80
  26. Obtuse
  27. 130
  28. North
  29. 180
  30. West
  31. Reflex
  32. Straight
  33. Obtuse
  34. 300
  35. 45
  36. 70
  37. 50
  38. 120
  39. 80
  40. North

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