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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 236 · 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.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  3. 3.A clock shows 1:38. What time will it show 41 minutes later? (a) 2:29 (b) 3:19 (c) 2:09 (d) 2:19
  4. 4.A clock shows 10:42. What time will it show 28 minutes later? (a) 11:00 (b) 12:10 (c) 11:20 (d) 11:10
  5. 5.How many degrees does the minute hand of a clock turn in 10 minutes? =
  6. 6.A clock shows 11:08. What time will it show 25 minutes later? (a) 11:23 (b) 11:33 (c) 11:43 (d) 12:33
  7. 7.A clock shows 5:27. What time will it show 90 minutes later? (a) 7:57 (b) 6:47 (c) 7:07 (d) 6:57
  8. 8.How many degrees does the hour hand of a clock turn in 62 minutes? =
  9. 9.A clock shows 11:44. What time will it show 12 minutes later? (a) 12:06 (b) 11:46 (c) 11:56 (d) 12:56
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  11. 11.A clock shows 5:59. What time will it show 14 minutes later? (a) 6:13 (b) 7:13 (c) 6:03 (d) 6:23
  12. 12.A clock shows 11:11. What time will it show 10 minutes later? (a) 11:31 (b) 11:21 (c) 12:21 (d) 11:11
  13. 13.How many degrees does the minute hand of a clock turn in 2 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  17. 17.A clock shows 2:12. What time will it show 162 minutes later? (a) 5:04 (b) 4:44 (c) 5:54 (d) 4:54
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 49 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 67 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  25. 25.A clock shows 6:47. What time will it show 165 minutes later? (a) 9:22 (b) 9:32 (c) 9:42 (d) 10:32
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  27. 27.A clock shows 3:45. What time will it show 134 minutes later? (a) 6:09 (b) 5:49 (c) 5:59 (d) 6:59
  28. 28.A clock shows 7:19. What time will it show 67 minutes later? (a) 8:26 (b) 8:36 (c) 9:26 (d) 8:16
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  31. 31.A clock shows 6:02. What time will it show 64 minutes later? (a) 8:06 (b) 6:56 (c) 7:06 (d) 7:16
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  33. 33.A clock shows 5:24. What time will it show 132 minutes later? (a) 7:26 (b) 8:36 (c) 7:46 (d) 7:36
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  35. 35.A clock shows 7:41. What time will it show 24 minutes later? (a) 7:55 (b) 8:15 (c) 8:05 (d) 9:05
  36. 36.A clock shows 12:51. What time will it show 35 minutes later? (a) 1:16 (b) 2:26 (c) 1:36 (d) 1:26
  37. 37.How many degrees does the hour hand of a clock turn in 91 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 148 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =

Answer key

  1. 159
  2. 28.5
  3. 2:19
  4. 11:10
  5. 60
  6. 11:33
  7. 6:57
  8. 31
  9. 11:56
  10. 90
  11. 6:13
  12. 11:21
  13. 12
  14. 169.5
  15. 77
  16. 19
  17. 4:54
  18. 124
  19. 131
  20. 130.5
  21. 294
  22. 33.5
  23. 163
  24. 76
  25. 9:32
  26. 13.5
  27. 5:59
  28. 8:26
  29. 68
  30. 173.5
  31. 7:06
  32. 135
  33. 7:36
  34. 144.5
  35. 8:05
  36. 1:26
  37. 45.5
  38. 74
  39. 252
  40. 177

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