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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 82 · 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 12 equal angles. How big is each angle (in degrees)?
  2. 2.Four angles meet at a point. Three of them are 70°, 80° and 170°. What is the fourth angle (in degrees)?
  3. 3.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Right (c) Acute
  4. 4.Three angles together make a straight line. Two of them are 100° and 45°. What is the third angle (in degrees)?
  5. 5.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 40° and 130°. What is the third angle (in degrees)?
  7. 7.Four angles meet at a point. Three of them are 30°, 60° and 90°. What is the fourth angle (in degrees)?
  8. 8.Three angles together make a straight line. Two of them are 20° and 20°. What is the third angle (in degrees)?
  9. 9.Four angles meet at a point. Three of them are 40°, 50° and 30°. What is the fourth angle (in degrees)?
  10. 10.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?
  11. 11.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  12. 12.Four angles meet at a point. Three of them are 30°, 100° and 160°. What is the fourth angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 8 to 5. How many degrees does it turn?
  14. 14.Three angles together make a straight line. Two of them are 90° and 55°. What is the third angle (in degrees)?
  15. 15.An angle measures 250°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  16. 16.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) North (c) West (d) East
  17. 17.Three angles together make a straight line. Two of them are 10° and 135°. What is the third angle (in degrees)?
  18. 18.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  19. 19.Four angles meet at a point. Three of them are 30°, 100° and 100°. What is the fourth angle (in degrees)?
  20. 20.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) South (d) East
  21. 21.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  22. 22.Four angles meet at a point. Three of them are 90°, 30° and 70°. What is the fourth angle (in degrees)?
  23. 23.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  24. 24.The minute hand of a clock turns clockwise from 5 to 7. How many degrees does it turn?
  25. 25.An angle measures 70°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  26. 26.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Right
  27. 27.The minute hand of a clock turns clockwise from 10 to 1. How many degrees does it turn?
  28. 28.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) West (d) East
  29. 29.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  30. 30.You face North and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  31. 31.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  32. 32.Three angles together make a straight line. Two of them are 30° and 60°. What is the third angle (in degrees)?
  33. 33.An angle measures 180°. What kind of angle is it? (a) Acute (b) Straight (c) Reflex
  34. 34.Three angles together make a straight line. Two of them are 30° and 105°. What is the third angle (in degrees)?
  35. 35.The minute hand of a clock turns clockwise from 1 to 2. How many degrees does it turn?
  36. 36.The minute hand of a clock turns clockwise from 6 to 7. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  38. 38.You face West and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  39. 39.Four angles meet at a point. Three of them are 100°, 90° and 50°. What is the fourth angle (in degrees)?
  40. 40.Four angles meet at a point. Three of them are 70°, 70° and 150°. What is the fourth angle (in degrees)?

Answer key

  1. 15
  2. 40
  3. Obtuse
  4. 35
  5. 90
  6. 10
  7. 180
  8. 140
  9. 240
  10. 100
  11. 18
  12. 70
  13. 270
  14. 35
  15. Reflex
  16. East
  17. 35
  18. North
  19. 130
  20. West
  21. 30
  22. 170
  23. 45
  24. 60
  25. Acute
  26. Right
  27. 90
  28. North
  29. South
  30. East
  31. East
  32. 90
  33. Straight
  34. 45
  35. 30
  36. 30
  37. 15
  38. North
  39. 120
  40. 70

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