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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 723 · 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.Three angles together make a straight line. Two of them are 70° and 80°. What is the third angle (in degrees)?
  2. 2.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) South (d) West
  3. 3.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  4. 4.Four angles meet at a point. Three of them are 30°, 50° and 210°. What is the fourth angle (in degrees)?
  5. 5.An angle measures 100°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  6. 6.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 90°. What kind of angle is it? (a) Straight (b) Reflex (c) Right
  8. 8.Four angles meet at a point. Three of them are 80°, 40° and 220°. What is the fourth angle (in degrees)?
  9. 9.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 11 to 2. How many degrees does it turn?
  11. 11.The minute hand of a clock turns clockwise from 12 to 3. How many degrees does it turn?
  12. 12.An angle measures 20°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  13. 13.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 60°. What kind of angle is it? (a) Reflex (b) Acute (c) Right
  15. 15.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  16. 16.You face South and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  17. 17.You face West and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  18. 18.Four angles meet at a point. Three of them are 30°, 80° and 240°. What is the fourth angle (in degrees)?
  19. 19.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  20. 20.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  21. 21.Four angles meet at a point. Three of them are 80°, 90° and 70°. What is the fourth angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 50°, 70° and 110°. What is the fourth angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  24. 24.An angle measures 130°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  25. 25.Four angles meet at a point. Three of them are 30°, 40° and 180°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 75° and 35°. What is the third angle (in degrees)?
  27. 27.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  28. 28.An angle measures 180°. What kind of angle is it? (a) Right (b) Acute (c) Straight
  29. 29.An angle measures 170°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  30. 30.An angle measures 55°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  31. 31.Four angles meet at a point. Three of them are 40°, 50° and 60°. What is the fourth angle (in degrees)?
  32. 32.Three angles together make a straight line. Two of them are 15° and 145°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 60° and 85°. What is the third angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  36. 36.An angle measures 335°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  37. 37.The minute hand of a clock turns clockwise from 9 to 4. How many degrees does it turn?
  38. 38.Three angles together make a straight line. Two of them are 35° and 90°. What is the third angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 70°, 60° and 140°. What is the fourth angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 50° and 115°. What is the third angle (in degrees)?

Answer key

  1. 30
  2. West
  3. 45
  4. 70
  5. Obtuse
  6. 72
  7. Right
  8. 20
  9. 90
  10. 90
  11. 90
  12. Acute
  13. 18
  14. Acute
  15. 210
  16. North
  17. East
  18. 10
  19. 120
  20. North
  21. 120
  22. 130
  23. 30
  24. Obtuse
  25. 110
  26. 70
  27. 40
  28. Straight
  29. Obtuse
  30. Acute
  31. 210
  32. 20
  33. 35
  34. 55
  35. 15
  36. Reflex
  37. 210
  38. 55
  39. 90
  40. 15

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