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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 432 · 40 questions
TalentJR

How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.

NameDateTime takenScore ___ / 40
  1. 1.How many degrees does the hour hand of a clock turn in 122 minutes? =
  2. 2.A clock shows 4:39. What time will it show 21 minutes later? (a) 5:00 (b) 6:00 (c) 4:50 (d) 5:10
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  4. 4.A clock shows 11:59. What time will it show 56 minutes later? (a) 1:05 (b) 12:45 (c) 12:55 (d) 1:55
  5. 5.A clock shows 5:55. What time will it show 81 minutes later? (a) 7:06 (b) 7:26 (c) 8:16 (d) 7:16
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  7. 7.A clock shows 6:46. What time will it show 160 minutes later? (a) 9:16 (b) 9:36 (c) 10:26 (d) 9:26
  8. 8.How many degrees does the minute hand of a clock turn in 30 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 50 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 42 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 14 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  16. 16.A clock shows 8:56. What time will it show 114 minutes later? (a) 11:50 (b) 10:40 (c) 11:00 (d) 10:50
  17. 17.A clock shows 5:03. What time will it show 99 minutes later? (a) 6:32 (b) 7:42 (c) 6:52 (d) 6:42
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 29 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 8 minutes? =
  22. 22.A clock shows 2:42. What time will it show 163 minutes later? (a) 5:15 (b) 6:25 (c) 5:35 (d) 5:25
  23. 23.A clock shows 4:37. What time will it show 49 minutes later? (a) 5:36 (b) 6:26 (c) 5:16 (d) 5:26
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 169 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 34 minutes? =
  30. 30.A clock shows 8:19. What time will it show 25 minutes later? (a) 8:34 (b) 9:44 (c) 8:54 (d) 8:44
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:20? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 28 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  39. 39.A clock shows 11:45. What time will it show 79 minutes later? (a) 1:14 (b) 12:54 (c) 1:04 (d) 2:04
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =

Answer key

  1. 61
  2. 5:00
  3. 141.5
  4. 12:55
  5. 7:16
  6. 140.5
  7. 9:26
  8. 180
  9. 21.5
  10. 300
  11. 91.5
  12. 252
  13. 121.5
  14. 84
  15. 43.5
  16. 10:50
  17. 6:42
  18. 160
  19. 140
  20. 174
  21. 48
  22. 5:25
  23. 5:26
  24. 57
  25. 60.5
  26. 82
  27. 84.5
  28. 71
  29. 17
  30. 8:44
  31. 171
  32. 164.5
  33. 50
  34. 40
  35. 168
  36. 47.5
  37. 45.5
  38. 101.5
  39. 1:04
  40. 15.5

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