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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 603 · 40 sums
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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 40°, 60° and 60°. What is the fourth angle (in degrees)?
  2. 2.You face South and turn anticlockwise through 90°. Which direction do you face now? (a) South (b) East (c) North (d) West
  3. 3.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  4. 4.A straight angle (180°) is split into 3 equal angles. How big is each angle (in degrees)?
  5. 5.Three angles together make a straight line. Two of them are 60° and 20°. What is the third angle (in degrees)?
  6. 6.Three angles together make a straight line. Two of them are 30° and 20°. What is the third angle (in degrees)?
  7. 7.The minute hand of a clock turns clockwise from 3 to 8. How many degrees does it turn?
  8. 8.You face West and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) West (c) North (d) South
  9. 9.An angle measures 135°. What kind of angle is it? (a) Obtuse (b) Right (c) Reflex
  10. 10.A full turn (360°) is split into 8 equal angles. How big is each angle (in degrees)?
  11. 11.You face East and turn clockwise through 180°. Which direction do you face now? (a) East (b) South (c) North (d) West
  12. 12.Three angles together make a straight line. Two of them are 95° and 50°. What is the third angle (in degrees)?
  13. 13.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 10° and 65°. What is the third angle (in degrees)?
  15. 15.An angle measures 300°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  16. 16.You face North and turn clockwise through 180°. Which direction do you face now? (a) East (b) West (c) South (d) North
  17. 17.Three angles together make a straight line. Two of them are 50° and 90°. What is the third angle (in degrees)?
  18. 18.An angle measures 335°. What kind of angle is it? (a) Acute (b) Reflex (c) Right
  19. 19.The minute hand of a clock turns clockwise from 7 to 11. How many degrees does it turn?
  20. 20.You face East and turn anticlockwise through 270°. Which direction do you face now? (a) West (b) South (c) North (d) East
  21. 21.An angle measures 35°. What kind of angle is it? (a) Right (b) Obtuse (c) Acute
  22. 22.The minute hand of a clock turns clockwise from 2 to 6. How many degrees does it turn?
  23. 23.A full turn (360°) is split into 9 equal angles. How big is each angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 60°, 100° and 170°. What is the fourth angle (in degrees)?
  25. 25.An angle measures 90°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  26. 26.Four angles meet at a point. Three of them are 50°, 40° and 30°. What is the fourth angle (in degrees)?
  27. 27.Three angles together make a straight line. Two of them are 45° and 95°. What is the third angle (in degrees)?
  28. 28.Three angles together make a straight line. Two of them are 15° and 110°. What is the third angle (in degrees)?
  29. 29.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  30. 30.An angle measures 100°. What kind of angle is it? (a) Obtuse (b) Reflex (c) Acute
  31. 31.You face South and turn anticlockwise through 180°. Which direction do you face now? (a) East (b) North (c) West (d) South
  32. 32.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  33. 33.Four angles meet at a point. Three of them are 90°, 80° and 60°. What is the fourth angle (in degrees)?
  34. 34.An angle measures 180°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  35. 35.Three angles together make a straight line. Two of them are 90° and 15°. What is the third angle (in degrees)?
  36. 36.The minute hand of a clock turns clockwise from 9 to 10. How many degrees does it turn?
  37. 37.Four angles meet at a point. Three of them are 80°, 30° and 30°. What is the fourth angle (in degrees)?
  38. 38.Four angles meet at a point. Three of them are 90°, 80° and 180°. What is the fourth angle (in degrees)?
  39. 39.An angle measures 115°. What kind of angle is it? (a) Right (b) Straight (c) Obtuse
  40. 40.Four angles meet at a point. Three of them are 90°, 60° and 150°. What is the fourth angle (in degrees)?

Answer key

  1. 200
  2. East
  3. 45
  4. 60
  5. 100
  6. 130
  7. 150
  8. East
  9. Obtuse
  10. 45
  11. West
  12. 35
  13. 36
  14. 105
  15. Reflex
  16. South
  17. 40
  18. Reflex
  19. 120
  20. South
  21. Acute
  22. 120
  23. 40
  24. 30
  25. Right
  26. 240
  27. 40
  28. 55
  29. 72
  30. Obtuse
  31. North
  32. 15
  33. 130
  34. Straight
  35. 75
  36. 30
  37. 220
  38. 10
  39. Obtuse
  40. 60

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