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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 558 · 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 10 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 70°, 60° and 220°. What is the fourth angle (in degrees)?
  3. 3.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  4. 4.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  5. 5.Three angles together make a straight line. Two of them are 35° and 20°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 2 to 5. How many degrees does it turn?
  7. 7.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  8. 8.Three angles together make a straight line. Two of them are 25° and 140°. What is the third angle (in degrees)?
  9. 9.Three angles together make a straight line. Two of them are 35° and 115°. What is the third angle (in degrees)?
  10. 10.The minute hand of a clock turns clockwise from 5 to 12. How many degrees does it turn?
  11. 11.An angle measures 180°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  12. 12.Four angles meet at a point. Three of them are 70°, 30° and 120°. What is the fourth angle (in degrees)?
  13. 13.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Right
  15. 15.An angle measures 10°. What kind of angle is it? (a) Straight (b) Acute (c) Obtuse
  16. 16.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  17. 17.Three angles together make a straight line. Two of them are 60° and 60°. What is the third angle (in degrees)?
  18. 18.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  19. 19.An angle measures 145°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  20. 20.Four angles meet at a point. Three of them are 70°, 30° and 40°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 10° and 65°. What is the third angle (in degrees)?
  22. 22.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 90° and 30°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 95° and 10°. What is the third angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 10° and 105°. What is the third angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 80°, 30° and 120°. What is the fourth angle (in degrees)?
  27. 27.An angle measures 110°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  28. 28.You face West and turn clockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  29. 29.You face North and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) North (d) South
  30. 30.An angle measures 265°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  31. 31.The minute hand of a clock turns clockwise from 3 to 11. How many degrees does it turn?
  32. 32.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) East (c) South (d) West
  33. 33.Four angles meet at a point. Three of them are 60°, 50° and 110°. What is the fourth angle (in degrees)?
  34. 34.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 10° and 15°. What is the third angle (in degrees)?
  36. 36.Four angles meet at a point. Three of them are 60°, 40° and 140°. What is the fourth angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 60°, 80° and 210°. What is the fourth angle (in degrees)?
  38. 38.You face South and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) South (d) North
  39. 39.Three angles together make a straight line. Two of them are 45° and 35°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 35° and 40°. What is the third angle (in degrees)?

Answer key

  1. 36
  2. 10
  3. East
  4. West
  5. 125
  6. 90
  7. North
  8. 15
  9. 30
  10. 210
  11. Straight
  12. 140
  13. 30
  14. Right
  15. Acute
  16. 45
  17. 60
  18. 40
  19. Obtuse
  20. 220
  21. 105
  22. 18
  23. 60
  24. 75
  25. 65
  26. 130
  27. Obtuse
  28. South
  29. South
  30. Reflex
  31. 240
  32. South
  33. 140
  34. 20
  35. 155
  36. 120
  37. 10
  38. East
  39. 100
  40. 105

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