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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 581 · 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 4 equal angles. How big is each angle (in degrees)?
  2. 2.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  3. 3.You face East and turn clockwise through 90°. Which direction do you face now? (a) North (b) South (c) West (d) East
  4. 4.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) North (b) West (c) East (d) South
  5. 5.Four angles meet at a point. Three of them are 60°, 80° and 190°. What is the fourth angle (in degrees)?
  6. 6.An angle measures 90°. What kind of angle is it? (a) Acute (b) Right (c) Reflex
  7. 7.The minute hand of a clock turns clockwise from 2 to 12. How many degrees does it turn?
  8. 8.The minute hand of a clock turns clockwise from 10 to 11. How many degrees does it turn?
  9. 9.You face West and turn anticlockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  10. 10.An angle measures 65°. What kind of angle is it? (a) Acute (b) Obtuse (c) Reflex
  11. 11.You face South and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  12. 12.Four angles meet at a point. Three of them are 70°, 30° and 70°. What is the fourth angle (in degrees)?
  13. 13.Four angles meet at a point. Three of them are 100°, 30° and 40°. What is the fourth angle (in degrees)?
  14. 14.An angle measures 180°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  15. 15.You face West and turn clockwise through 90°. Which direction do you face now? (a) South (b) East (c) West (d) North
  16. 16.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  17. 17.Four angles meet at a point. Three of them are 90°, 30° and 230°. What is the fourth angle (in degrees)?
  18. 18.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) South (c) West (d) North
  19. 19.You face South and turn clockwise through 180°. Which direction do you face now? (a) North (b) West (c) South (d) East
  20. 20.An angle measures 280°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  21. 21.Four angles meet at a point. Three of them are 90°, 100° and 70°. What is the fourth angle (in degrees)?
  22. 22.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 45° and 85°. What is the third angle (in degrees)?
  24. 24.Three angles together make a straight line. Two of them are 85° and 20°. What is the third angle (in degrees)?
  25. 25.Four angles meet at a point. Three of them are 40°, 90° and 220°. What is the fourth angle (in degrees)?
  26. 26.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  27. 27.You face South and turn clockwise through 270°. Which direction do you face now? (a) South (b) East (c) North (d) West
  28. 28.You face East and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) South (d) North
  29. 29.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  30. 30.An angle measures 320°. What kind of angle is it? (a) Reflex (b) Acute (c) Straight
  31. 31.An angle measures 155°. What kind of angle is it? (a) Acute (b) Obtuse (c) Straight
  32. 32.Four angles meet at a point. Three of them are 50°, 100° and 110°. What is the fourth angle (in degrees)?
  33. 33.The minute hand of a clock turns clockwise from 11 to 6. How many degrees does it turn?
  34. 34.Three angles together make a straight line. Two of them are 75° and 65°. What is the third angle (in degrees)?
  35. 35.Four angles meet at a point. Three of them are 40°, 30° and 70°. What is the fourth angle (in degrees)?
  36. 36.An angle measures 45°. What kind of angle is it? (a) Straight (b) Acute (c) Right
  37. 37.A full turn (360°) is split into 6 equal angles. How big is each angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 90°, 30° and 30°. What is the fourth angle (in degrees)?
  39. 39.Three angles together make a straight line. Two of them are 20° and 40°. What is the third angle (in degrees)?
  40. 40.Three angles together make a straight line. Two of them are 30° and 55°. What is the third angle (in degrees)?

Answer key

  1. 45
  2. 45
  3. South
  4. South
  5. 30
  6. Right
  7. 300
  8. 30
  9. South
  10. Acute
  11. West
  12. 190
  13. 190
  14. Straight
  15. North
  16. 90
  17. 10
  18. East
  19. North
  20. Reflex
  21. 100
  22. 72
  23. 50
  24. 75
  25. 10
  26. 15
  27. East
  28. North
  29. 90
  30. Reflex
  31. Obtuse
  32. 100
  33. 210
  34. 40
  35. 220
  36. Acute
  37. 60
  38. 210
  39. 120
  40. 95

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