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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 38 · 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.An angle measures 110°. What kind of angle is it? (a) Right (b) Obtuse (c) Reflex
  3. 3.The minute hand of a clock turns clockwise from 8 to 7. How many degrees does it turn?
  4. 4.The minute hand of a clock turns clockwise from 2 to 11. How many degrees does it turn?
  5. 5.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  6. 6.Four angles meet at a point. Three of them are 90°, 80° and 50°. What is the fourth angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  8. 8.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  9. 9.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  10. 10.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) North (d) South
  11. 11.The minute hand of a clock turns clockwise from 1 to 9. How many degrees does it turn?
  12. 12.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 55° and 35°. What is the third angle (in degrees)?
  14. 14.An angle measures 25°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  15. 15.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  16. 16.An angle measures 105°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  17. 17.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  18. 18.You face South and turn clockwise through 90°. Which direction do you face now? (a) East (b) West (c) South (d) North
  19. 19.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  20. 20.You face North and turn clockwise through 270°. Which direction do you face now? (a) East (b) West (c) North (d) South
  21. 21.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  22. 22.The minute hand of a clock turns clockwise from 11 to 9. How many degrees does it turn?
  23. 23.Four angles meet at a point. Three of them are 50°, 40° and 180°. What is the fourth angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 60°, 100° and 30°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 80°, 70° and 130°. What is the fourth angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 90°, 40° and 60°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 80° and 50°. What is the third angle (in degrees)?
  28. 28.An angle measures 90°. What kind of angle is it? (a) Reflex (b) Right (c) Straight
  29. 29.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) East (c) North (d) West
  30. 30.Four angles meet at a point. Three of them are 80°, 30° and 40°. What is the fourth angle (in degrees)?
  31. 31.An angle measures 80°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  32. 32.The minute hand of a clock turns clockwise from 2 to 8. How many degrees does it turn?
  33. 33.Four angles meet at a point. Three of them are 30°, 40° and 70°. What is the fourth angle (in degrees)?
  34. 34.Three angles together make a straight line. Two of them are 80° and 85°. What is the third angle (in degrees)?
  35. 35.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  36. 36.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) East (b) South (c) North (d) West
  38. 38.The minute hand of a clock turns clockwise from 10 to 8. How many degrees does it turn?
  39. 39.You face South and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) South (d) West
  40. 40.The minute hand of a clock turns clockwise from 5 to 10. How many degrees does it turn?

Answer key

  1. 15
  2. Obtuse
  3. 330
  4. 270
  5. 30
  6. 140
  7. Straight
  8. North
  9. 150
  10. West
  11. 240
  12. 72
  13. 90
  14. Acute
  15. 180
  16. Obtuse
  17. 30
  18. West
  19. 18
  20. West
  21. 90
  22. 300
  23. 90
  24. 170
  25. 80
  26. 170
  27. 50
  28. Right
  29. North
  30. 210
  31. Acute
  32. 180
  33. 220
  34. 15
  35. 45
  36. 36
  37. West
  38. 300
  39. East
  40. 150

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