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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 614 · 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 5:51. What time will it show 72 minutes later? (a) 6:53 (b) 8:03 (c) 7:13 (d) 7:03
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:35? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 112 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  13. 13.A clock shows 5:32. What time will it show 72 minutes later? (a) 6:44 (b) 6:34 (c) 6:54 (d) 7:44
  14. 14.How many degrees does the minute hand of a clock turn in 48 minutes? =
  15. 15.A clock shows 8:05. What time will it show 166 minutes later? (a) 10:41 (b) 11:01 (c) 10:51 (d) 11:51
  16. 16.A clock shows 4:43. What time will it show 77 minutes later? (a) 5:50 (b) 6:10 (c) 7:00 (d) 6:00
  17. 17.A clock shows 6:34. What time will it show 95 minutes later? (a) 9:09 (b) 8:19 (c) 8:09 (d) 7:59
  18. 18.A clock shows 3:39. What time will it show 127 minutes later? (a) 5:46 (b) 5:36 (c) 6:46 (d) 5:56
  19. 19.How many degrees does the minute hand of a clock turn in 22 minutes? =
  20. 20.A clock shows 8:02. What time will it show 91 minutes later? (a) 10:33 (b) 9:43 (c) 9:23 (d) 9:33
  21. 21.How many degrees does the minute hand of a clock turn in 3 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 29 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 12 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  27. 27.A clock shows 6:24. What time will it show 170 minutes later? (a) 10:14 (b) 9:24 (c) 9:04 (d) 9:14
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 75 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 63 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  35. 35.A clock shows 4:30. What time will it show 138 minutes later? (a) 6:38 (b) 6:58 (c) 7:48 (d) 6:48
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 17 minutes? =
  38. 38.A clock shows 4:13. What time will it show 24 minutes later? (a) 5:37 (b) 4:47 (c) 4:37 (d) 4:27
  39. 39.How many degrees does the hour hand of a clock turn in 175 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =

Answer key

  1. 7:03
  2. 22.5
  3. 162.5
  4. 60
  5. 46
  6. 78
  7. 116
  8. 44
  9. 48
  10. 56
  11. 6.5
  12. 21.5
  13. 6:44
  14. 288
  15. 10:51
  16. 6:00
  17. 8:09
  18. 5:46
  19. 132
  20. 9:33
  21. 18
  22. 118.5
  23. 14.5
  24. 60.5
  25. 72
  26. 99
  27. 9:14
  28. 152
  29. 37.5
  30. 163
  31. 20
  32. 31.5
  33. 79.5
  34. 23
  35. 6:48
  36. 128
  37. 102
  38. 4:37
  39. 87.5
  40. 125.5

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