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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 74 · 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 9:14? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 56 minutes? =
  3. 3.A clock shows 2:01. What time will it show 28 minutes later? (a) 2:29 (b) 3:29 (c) 2:19 (d) 2:39
  4. 4.A clock shows 11:03. What time will it show 38 minutes later? (a) 11:51 (b) 12:41 (c) 11:41 (d) 11:31
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  6. 6.A clock shows 6:36. What time will it show 23 minutes later? (a) 6:59 (b) 7:59 (c) 6:49 (d) 7:09
  7. 7.How many degrees does the hour hand of a clock turn in 91 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 163 minutes? =
  11. 11.A clock shows 3:38. What time will it show 34 minutes later? (a) 4:22 (b) 4:02 (c) 5:12 (d) 4:12
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 145 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 38 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  16. 16.A clock shows 7:15. What time will it show 79 minutes later? (a) 9:34 (b) 8:24 (c) 8:44 (d) 8:34
  17. 17.How many degrees does the hour hand of a clock turn in 16 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 27 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 116 minutes? =
  21. 21.A clock shows 6:40. What time will it show 33 minutes later? (a) 7:03 (b) 7:23 (c) 8:13 (d) 7:13
  22. 22.A clock shows 7:23. What time will it show 129 minutes later? (a) 10:32 (b) 9:42 (c) 9:22 (d) 9:32
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  24. 24.A clock shows 9:57. What time will it show 147 minutes later? (a) 1:24 (b) 12:14 (c) 12:24 (d) 12:34
  25. 25.How many degrees does the hour hand of a clock turn in 40 minutes? =
  26. 26.A clock shows 12:08. What time will it show 114 minutes later? (a) 3:02 (b) 2:02 (c) 2:12 (d) 1:52
  27. 27.How many degrees does the hour hand of a clock turn in 36 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  29. 29.A clock shows 9:16. What time will it show 155 minutes later? (a) 12:01 (b) 11:51 (c) 11:41 (d) 12:51
  30. 30.How many degrees does the minute hand of a clock turn in 18 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  32. 32.A clock shows 12:38. What time will it show 117 minutes later? (a) 2:45 (b) 2:35 (c) 2:25 (d) 3:35
  33. 33.A clock shows 9:31. What time will it show 127 minutes later? (a) 12:38 (b) 11:28 (c) 11:48 (d) 11:38
  34. 34.How many degrees does the minute hand of a clock turn in 30 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 30 minutes? =
  36. 36.A clock shows 12:10. What time will it show 24 minutes later? (a) 12:34 (b) 12:24 (c) 12:44 (d) 1:34
  37. 37.How many degrees does the hour hand of a clock turn in 82 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 15 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 14 minutes? =

Answer key

  1. 167
  2. 336
  3. 2:29
  4. 11:41
  5. 151.5
  6. 6:59
  7. 45.5
  8. 48
  9. 61.5
  10. 81.5
  11. 4:12
  12. 87.5
  13. 72.5
  14. 19
  15. 87
  16. 8:34
  17. 8
  18. 162
  19. 160.5
  20. 58
  21. 7:13
  22. 9:32
  23. 52
  24. 12:24
  25. 20
  26. 2:02
  27. 18
  28. 133
  29. 11:51
  30. 108
  31. 35
  32. 2:35
  33. 11:38
  34. 180
  35. 15
  36. 12:34
  37. 41
  38. 79
  39. 90
  40. 84

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