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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 632 · 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 90°, 30° and 110°. What is the fourth angle (in degrees)?
  2. 2.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 20° and 10°. What is the third angle (in degrees)?
  4. 4.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  5. 5.The minute hand of a clock turns clockwise from 3 to 2. How many degrees does it turn?
  6. 6.An angle measures 25°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  7. 7.Three angles together make a straight line. Two of them are 65° and 10°. What is the third angle (in degrees)?
  8. 8.An angle measures 70°. What kind of angle is it? (a) Reflex (b) Acute (c) Obtuse
  9. 9.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  10. 10.Four angles meet at a point. Three of them are 70°, 80° and 60°. What is the fourth angle (in degrees)?
  11. 11.Four angles meet at a point. Three of them are 90°, 60° and 30°. What is the fourth angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 30° and 60°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 85° and 40°. What is the third angle (in degrees)?
  14. 14.You face West and turn clockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  15. 15.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  16. 16.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  17. 17.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  18. 18.Four angles meet at a point. Three of them are 30°, 30° and 50°. What is the fourth angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 30° and 65°. What is the third angle (in degrees)?
  20. 20.Three angles together make a straight line. Two of them are 10° and 35°. What is the third angle (in degrees)?
  21. 21.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) North (c) West (d) South
  22. 22.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Acute (c) Straight
  23. 23.Four angles meet at a point. Three of them are 60°, 50° and 40°. What is the fourth angle (in degrees)?
  24. 24.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  25. 25.An angle measures 90°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  26. 26.Three angles together make a straight line. Two of them are 35° and 130°. What is the third angle (in degrees)?
  27. 27.The minute hand of a clock turns clockwise from 9 to 5. How many degrees does it turn?
  28. 28.An angle measures 155°. What kind of angle is it? (a) Right (b) Obtuse (c) Straight
  29. 29.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  30. 30.Four angles meet at a point. Three of them are 50°, 70° and 80°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 210°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Straight
  32. 32.You face West and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  33. 33.Three angles together make a straight line. Two of them are 60° and 45°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 30° and 80°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  36. 36.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 10° and 90°. What is the third angle (in degrees)?
  38. 38.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  39. 39.The minute hand of a clock turns clockwise from 4 to 1. How many degrees does it turn?
  40. 40.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East

Answer key

  1. 130
  2. 90
  3. 150
  4. Obtuse
  5. 330
  6. Acute
  7. 105
  8. Acute
  9. 270
  10. 150
  11. 180
  12. 90
  13. 55
  14. North
  15. West
  16. 36
  17. 30
  18. 250
  19. 85
  20. 135
  21. East
  22. Straight
  23. 210
  24. North
  25. Right
  26. 15
  27. 240
  28. Obtuse
  29. 18
  30. 160
  31. Reflex
  32. South
  33. 75
  34. 70
  35. 60
  36. 45
  37. 80
  38. 60
  39. 270
  40. North

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