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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 700 · 40 sums
TalentJR

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 straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  2. 2.An angle measures 110°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  3. 3.An angle measures 180°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  4. 4.Three angles together make a straight line. Two of them are 55° and 75°. What is the third angle (in degrees)?
  5. 5.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  6. 6.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  7. 7.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  8. 8.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  9. 9.You face North and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  10. 10.Three angles together make a straight line. Two of them are 50° and 120°. What is the third angle (in degrees)?
  11. 11.The minute hand of a clock turns clockwise from 7 to 9. How many degrees does it turn?
  12. 12.You face East and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) West (d) North
  13. 13.Four angles meet at a point. Three of them are 100°, 30° and 100°. What is the fourth angle (in degrees)?
  14. 14.An angle measures 135°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  15. 15.An angle measures 150°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  16. 16.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 35° and 135°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 100° and 35°. What is the third angle (in degrees)?
  19. 19.Three angles together make a straight line. Two of them are 60° and 30°. What is the third angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 100°, 40° and 60°. What is the fourth angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 40°, 30° and 170°. What is the fourth angle (in degrees)?
  22. 22.An angle measures 50°. What kind of angle is it? (a) Acute (b) Right (c) Straight
  23. 23.Four angles meet at a point. Three of them are 90°, 60° and 60°. What is the fourth angle (in degrees)?
  24. 24.An angle measures 25°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  25. 25.Four angles meet at a point. Three of them are 30°, 30° and 280°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 80° and 30°. What is the third angle (in degrees)?
  27. 27.Four angles meet at a point. Three of them are 80°, 50° and 50°. What is the fourth angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 80°, 70° and 70°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 60°, 30° and 160°. What is the fourth angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 90° and 60°. What is the third angle (in degrees)?
  31. 31.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  32. 32.Three angles together make a straight line. Two of them are 85° and 15°. What is the third angle (in degrees)?
  33. 33.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  34. 34.The minute hand of a clock turns clockwise from 9 to 1. How many degrees does it turn?
  35. 35.Four angles meet at a point. Three of them are 80°, 40° and 210°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 40° and 50°. What is the third angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 60° and 75°. What is the third angle (in degrees)?
  38. 38.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 25° and 50°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 15° and 70°. What is the third angle (in degrees)?

Answer key

  1. 30
  2. Obtuse
  3. Straight
  4. 50
  5. 45
  6. 120
  7. 60
  8. 60
  9. West
  10. 10
  11. 60
  12. North
  13. 130
  14. Obtuse
  15. Obtuse
  16. 15
  17. 10
  18. 45
  19. 90
  20. 160
  21. 120
  22. Acute
  23. 150
  24. Acute
  25. 20
  26. 70
  27. 180
  28. 140
  29. 110
  30. 30
  31. Right
  32. 80
  33. 60
  34. 120
  35. 30
  36. 90
  37. 45
  38. 36
  39. 105
  40. 95

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