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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 172 · 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.Four angles meet at a point. Three of them are 30°, 60° and 140°. What is the fourth angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 65° and 25°. What is the third angle (in degrees)?
  3. 3.You face East and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  4. 4.You face North and turn clockwise through 270°. Which direction do you face now? (a) South (b) West (c) North (d) East
  5. 5.An angle measures 90°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  6. 6.A full turn (360°) is split into 10 equal angles. How big is each angle (in degrees)?
  7. 7.An angle measures 180°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  8. 8.An angle measures 60°. What kind of angle is it? (a) Acute (b) Reflex (c) Obtuse
  9. 9.The minute hand of a clock turns clockwise from 11 to 7. How many degrees does it turn?
  10. 10.You face North and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  11. 11.A full turn (360°) is split into 3 equal angles. How big is each angle (in degrees)?
  12. 12.Three angles together make a straight line. Two of them are 10° and 10°. What is the third angle (in degrees)?
  13. 13.Three angles together make a straight line. Two of them are 100° and 25°. What is the third angle (in degrees)?
  14. 14.An angle measures 185°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  15. 15.A straight angle (180°) is split into 10 equal angles. How big is each angle (in degrees)?
  16. 16.You face East and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) South (d) East
  17. 17.Three angles together make a straight line. Two of them are 90° and 55°. What is the third angle (in degrees)?
  18. 18.Three angles together make a straight line. Two of them are 65° and 30°. What is the third angle (in degrees)?
  19. 19.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  20. 20.Four angles meet at a point. Three of them are 60°, 100° and 90°. What is the fourth angle (in degrees)?
  21. 21.Three angles together make a straight line. Two of them are 10° and 115°. What is the third angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 15° and 10°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 70° and 95°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 50°, 70° and 170°. What is the fourth angle (in degrees)?
  25. 25.Three angles together make a straight line. Two of them are 35° and 45°. What is the third angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 5 to 6. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 45° and 110°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 15° and 70°. What is the third angle (in degrees)?
  29. 29.Three angles together make a straight line. Two of them are 50° and 110°. What is the third angle (in degrees)?
  30. 30.Three angles together make a straight line. Two of them are 25° and 115°. What is the third angle (in degrees)?
  31. 31.An angle measures 70°. What kind of angle is it? (a) Reflex (b) Straight (c) Acute
  32. 32.You face West and turn clockwise through 90°. Which direction do you face now? (a) East (b) North (c) West (d) South
  33. 33.A straight angle (180°) is split into 2 equal angles. How big is each angle (in degrees)?
  34. 34.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) West (b) East (c) South (d) North
  35. 35.Three angles together make a straight line. Two of them are 40° and 65°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 6 to 12. How many degrees does it turn?
  37. 37.Three angles together make a straight line. Two of them are 60° and 55°. What is the third angle (in degrees)?
  38. 38.You face East and turn anticlockwise through 180°. Which direction do you face now? (a) South (b) North (c) East (d) West
  39. 39.Four angles meet at a point. Three of them are 50°, 60° and 160°. What is the fourth angle (in degrees)?
  40. 40.The minute hand of a clock turns clockwise from 7 to 8. How many degrees does it turn?

Answer key

  1. 130
  2. 90
  3. South
  4. West
  5. Right
  6. 36
  7. Straight
  8. Acute
  9. 240
  10. South
  11. 120
  12. 160
  13. 55
  14. Reflex
  15. 18
  16. North
  17. 35
  18. 85
  19. 36
  20. 110
  21. 55
  22. 155
  23. 15
  24. 70
  25. 100
  26. 30
  27. 25
  28. 95
  29. 20
  30. 40
  31. Acute
  32. North
  33. 90
  34. East
  35. 75
  36. 180
  37. 65
  38. West
  39. 90
  40. 30

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