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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 46 · 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 full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 10° and 45°. What is the third angle (in degrees)?
  3. 3.Three angles together make a straight line. Two of them are 40° and 20°. What is the third angle (in degrees)?
  4. 4.Three angles together make a straight line. Two of them are 65° and 105°. What is the third angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 55° and 80°. What is the third angle (in degrees)?
  6. 6.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  7. 7.Four angles meet at a point. Three of them are 50°, 50° and 30°. What is the fourth angle (in degrees)?
  8. 8.An angle measures 180°. What kind of angle is it? (a) Obtuse (b) Right (c) Straight
  9. 9.You face East and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) West (c) East (d) North
  10. 10.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 30° and 50°. What is the third angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 45° and 80°. What is the third angle (in degrees)?
  13. 13.The minute hand of a clock turns clockwise from 7 to 4. How many degrees does it turn?
  14. 14.A straight angle (180°) is split into 6 equal angles. How big is each angle (in degrees)?
  15. 15.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  16. 16.Three angles together make a straight line. Two of them are 50° and 70°. What is the third angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 40°, 90° and 40°. What is the fourth angle (in degrees)?
  18. 18.The minute hand of a clock turns clockwise from 3 to 5. How many degrees does it turn?
  19. 19.You face North and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) South (c) North (d) West
  20. 20.The minute hand of a clock turns clockwise from 1 to 7. How many degrees does it turn?
  21. 21.An angle measures 90°. What kind of angle is it? (a) Obtuse (b) Acute (c) Right
  22. 22.Three angles together make a straight line. Two of them are 40° and 65°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 95° and 30°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 40°, 100° and 50°. What is the fourth angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 80° and 180°. What is the fourth angle (in degrees)?
  26. 26.Three angles together make a straight line. Two of them are 95° and 35°. What is the third angle (in degrees)?
  27. 27.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 10° and 35°. What is the third angle (in degrees)?
  29. 29.A straight angle (180°) is split into 9 equal angles. How big is each angle (in degrees)?
  30. 30.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  31. 31.Four angles meet at a point. Three of them are 100°, 40° and 200°. What is the fourth angle (in degrees)?
  32. 32.Four angles meet at a point. Three of them are 40°, 70° and 200°. What is the fourth angle (in degrees)?
  33. 33.An angle measures 285°. What kind of angle is it? (a) Reflex (b) Obtuse (c) Straight
  34. 34.Four angles meet at a point. Three of them are 60°, 80° and 30°. What is the fourth angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 50°, 100° and 160°. What is the fourth angle (in degrees)?
  36. 36.Three angles together make a straight line. Two of them are 90° and 65°. What is the third angle (in degrees)?
  37. 37.You face South and turn clockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  38. 38.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  39. 39.Four angles meet at a point. Three of them are 30°, 80° and 90°. What is the fourth angle (in degrees)?
  40. 40.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) North (c) East (d) South

Answer key

  1. 45
  2. 125
  3. 120
  4. 10
  5. 45
  6. 300
  7. 230
  8. Straight
  9. North
  10. 60
  11. 100
  12. 55
  13. 270
  14. 30
  15. West
  16. 60
  17. 190
  18. 60
  19. West
  20. 180
  21. Right
  22. 75
  23. 55
  24. 170
  25. 60
  26. 50
  27. 18
  28. 135
  29. 20
  30. 36
  31. 20
  32. 50
  33. Reflex
  34. 190
  35. 50
  36. 25
  37. North
  38. 120
  39. 160
  40. North

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