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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 16 · 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.

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  1. 1.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  2. 2.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 70° and 25°. What is the third angle (in degrees)?
  4. 4.The minute hand of a clock turns clockwise from 2 to 3. How many degrees does it turn?
  5. 5.Three angles together make a straight line. Two of them are 80° and 15°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  7. 7.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) East (d) West
  8. 8.You face North and turn anticlockwise through 270°. Which direction do you face now? (a) North (b) South (c) West (d) East
  9. 9.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Straight (c) Acute
  10. 10.You face East and turn clockwise through 180°. Which direction do you face now? (a) South (b) West (c) North (d) East
  11. 11.Three angles together make a straight line. Two of them are 100° and 15°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 1 to 3. How many degrees does it turn?
  13. 13.A full turn (360°) is split into 12 equal angles. How big is each angle (in degrees)?
  14. 14.An angle measures 15°. What kind of angle is it? (a) Right (b) Reflex (c) Acute
  15. 15.The minute hand of a clock turns clockwise from 8 to 2. How many degrees does it turn?
  16. 16.An angle measures 65°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  17. 17.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) West (b) East (c) South (d) North
  18. 18.Four angles meet at a point. Three of them are 90°, 60° and 50°. What is the fourth angle (in degrees)?
  19. 19.Four angles meet at a point. Three of them are 100°, 100° and 100°. What is the fourth angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 100°, 60° and 160°. What is the fourth angle (in degrees)?
  21. 21.A full turn (360°) is split into 9 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.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 35° and 65°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 60°, 40° and 110°. What is the fourth angle (in degrees)?
  26. 26.Four angles meet at a point. Three of them are 30°, 50° and 150°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 80° and 45°. What is the third angle (in degrees)?
  28. 28.Four angles meet at a point. Three of them are 60°, 70° and 140°. What is the fourth angle (in degrees)?
  29. 29.Four angles meet at a point. Three of them are 100°, 50° and 180°. What is the fourth angle (in degrees)?
  30. 30.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) East (c) West (d) South
  31. 31.The minute hand of a clock turns clockwise from 1 to 12. How many degrees does it turn?
  32. 32.An angle measures 25°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  33. 33.You face East and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  34. 34.A full turn (360°) is split into 8 equal angles. How big is each 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 6 equal angles. How big is each angle (in degrees)?
  37. 37.Three angles together make a straight line. Two of them are 80° and 55°. What is the third angle (in degrees)?
  38. 38.An angle measures 75°. What kind of angle is it? (a) Acute (b) Obtuse (c) Right
  39. 39.Four angles meet at a point. Three of them are 30°, 50° and 250°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 11 to 10. How many degrees does it turn?

Answer key

  1. South
  2. 72
  3. 85
  4. 30
  5. 85
  6. 120
  7. South
  8. East
  9. Straight
  10. West
  11. 65
  12. 60
  13. 30
  14. Acute
  15. 180
  16. Acute
  17. North
  18. 160
  19. 60
  20. 40
  21. 40
  22. 300
  23. 18
  24. 80
  25. 150
  26. 130
  27. 55
  28. 90
  29. 30
  30. South
  31. 330
  32. Acute
  33. North
  34. 45
  35. 45
  36. 30
  37. 45
  38. Acute
  39. 30
  40. 330

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