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Class 6 Maths Worksheet: Angles and Geometry

Maths worksheets lesson 46: Basic geometry: angles and turns · Set 698 · 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.A full turn (360°) is split into 5 equal angles. How big is each angle (in degrees)?
  2. 2.Three angles together make a straight line. Two of them are 85° and 25°. What is the third angle (in degrees)?
  3. 3.Four angles meet at a point. Three of them are 100°, 70° and 60°. What is the fourth angle (in degrees)?
  4. 4.An angle measures 115°. What kind of angle is it? (a) Acute (b) Right (c) Obtuse
  5. 5.An angle measures 180°. What kind of angle is it? (a) Acute (b) Reflex (c) Straight
  6. 6.Three angles together make a straight line. Two of them are 35° and 105°. What is the third angle (in degrees)?
  7. 7.A full turn (360°) is split into 4 equal angles. How big is each angle (in degrees)?
  8. 8.An angle measures 195°. What kind of angle is it? (a) Right (b) Straight (c) Reflex
  9. 9.An angle measures 90°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  10. 10.Three angles together make a straight line. Two of them are 65° and 65°. What is the third angle (in degrees)?
  11. 11.Three angles together make a straight line. Two of them are 100° and 50°. What is the third angle (in degrees)?
  12. 12.The minute hand of a clock turns clockwise from 4 to 11. How many degrees does it turn?
  13. 13.Four angles meet at a point. Three of them are 60°, 40° and 150°. What is the fourth angle (in degrees)?
  14. 14.Three angles together make a straight line. Two of them are 45° and 75°. What is the third angle (in degrees)?
  15. 15.You face North and turn clockwise through 270°. Which direction do you face now? (a) West (b) East (c) North (d) South
  16. 16.An angle measures 345°. What kind of angle is it? (a) Right (b) Reflex (c) Obtuse
  17. 17.You face West and turn clockwise through 270°. Which direction do you face now? (a) North (b) West (c) East (d) South
  18. 18.An angle measures 50°. What kind of angle is it? (a) Straight (b) Right (c) Acute
  19. 19.The minute hand of a clock turns clockwise from 9 to 3. How many degrees does it turn?
  20. 20.Three angles together make a straight line. Two of them are 75° and 60°. What is the third angle (in degrees)?
  21. 21.Four angles meet at a point. Three of them are 30°, 80° and 180°. What is the fourth angle (in degrees)?
  22. 22.Three angles together make a straight line. Two of them are 35° and 50°. What is the third angle (in degrees)?
  23. 23.Three angles together make a straight line. Two of them are 10° and 20°. What is the third angle (in degrees)?
  24. 24.Four angles meet at a point. Three of them are 30°, 60° and 120°. What is the fourth angle (in degrees)?
  25. 25.A straight angle (180°) is split into 12 equal angles. How big is each angle (in degrees)?
  26. 26.The minute hand of a clock turns clockwise from 2 to 10. How many degrees does it turn?
  27. 27.Three angles together make a straight line. Two of them are 50° and 75°. What is the third angle (in degrees)?
  28. 28.A straight angle (180°) is split into 4 equal angles. How big is each angle (in degrees)?
  29. 29.An angle measures 160°. What kind of angle is it? (a) Straight (b) Obtuse (c) Reflex
  30. 30.Three angles together make a straight line. Two of them are 35° and 65°. What is the third angle (in degrees)?
  31. 31.You face East and turn clockwise through 90°. Which direction do you face now? (a) West (b) South (c) East (d) North
  32. 32.Three angles together make a straight line. Two of them are 10° and 145°. What is the third angle (in degrees)?
  33. 33.An angle measures 95°. What kind of angle is it? (a) Straight (b) Obtuse (c) Acute
  34. 34.Three angles together make a straight line. Two of them are 70° and 20°. What is the third angle (in degrees)?
  35. 35.Three angles together make a straight line. Two of them are 35° and 60°. What is the third angle (in degrees)?
  36. 36.A straight angle (180°) is split into 5 equal angles. How big is each angle (in degrees)?
  37. 37.Four angles meet at a point. Three of them are 30°, 70° and 170°. What is the fourth angle (in degrees)?
  38. 38.The minute hand of a clock turns clockwise from 11 to 8. How many degrees does it turn?
  39. 39.An angle measures 305°. What kind of angle is it? (a) Obtuse (b) Straight (c) Reflex
  40. 40.Four angles meet at a point. Three of them are 40°, 100° and 130°. What is the fourth angle (in degrees)?

Answer key

  1. 72
  2. 70
  3. 130
  4. Obtuse
  5. Straight
  6. 40
  7. 90
  8. Reflex
  9. Right
  10. 50
  11. 30
  12. 210
  13. 110
  14. 60
  15. West
  16. Reflex
  17. South
  18. Acute
  19. 180
  20. 45
  21. 70
  22. 95
  23. 150
  24. 150
  25. 15
  26. 240
  27. 55
  28. 45
  29. Obtuse
  30. 80
  31. South
  32. 25
  33. Obtuse
  34. 90
  35. 85
  36. 36
  37. 90
  38. 270
  39. Reflex
  40. 90

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