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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 297 · 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.A clock shows 5:11. What time will it show 135 minutes later? (a) 8:26 (b) 7:36 (c) 7:26 (d) 7:16
  2. 2.How many degrees does the hour hand of a clock turn in 151 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 132 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  5. 5.A clock shows 4:45. What time will it show 166 minutes later? (a) 7:21 (b) 7:31 (c) 7:41 (d) 8:31
  6. 6.A clock shows 5:56. What time will it show 97 minutes later? (a) 7:23 (b) 7:43 (c) 8:33 (d) 7:33
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 86 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 97 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 120 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  21. 21.A clock shows 4:52. What time will it show 128 minutes later? (a) 6:50 (b) 7:10 (c) 8:00 (d) 7:00
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 9 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  27. 27.A clock shows 5:41. What time will it show 26 minutes later? (a) 6:17 (b) 6:07 (c) 5:57 (d) 7:07
  28. 28.A clock shows 9:17. What time will it show 97 minutes later? (a) 11:54 (b) 10:44 (c) 10:54 (d) 11:04
  29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  31. 31.A clock shows 2:28. What time will it show 134 minutes later? (a) 4:42 (b) 5:42 (c) 4:52 (d) 4:32
  32. 32.How many degrees does the hour hand of a clock turn in 11 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
  34. 34.A clock shows 2:21. What time will it show 167 minutes later? (a) 6:08 (b) 5:18 (c) 4:58 (d) 5:08
  35. 35.How many degrees does the minute hand of a clock turn in 33 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 6 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 30 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =

Answer key

  1. 7:26
  2. 75.5
  3. 66
  4. 129.5
  5. 7:31
  6. 7:33
  7. 140.5
  8. 151
  9. 43
  10. 134
  11. 48.5
  12. 40
  13. 131
  14. 149
  15. 60
  16. 155.5
  17. 134.5
  18. 127
  19. 162.5
  20. 176.5
  21. 7:00
  22. 119
  23. 39
  24. 54
  25. 103
  26. 109.5
  27. 6:07
  28. 10:54
  29. 126
  30. 126.5
  31. 4:42
  32. 5.5
  33. 179.5
  34. 5:08
  35. 198
  36. 23.5
  37. 36
  38. 117.5
  39. 180
  40. 161

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