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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 418 · 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 5:42? (in degrees) =
  2. 2.A clock shows 3:12. What time will it show 21 minutes later? (a) 3:43 (b) 4:33 (c) 3:33 (d) 3:23
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 37 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 87 minutes? =
  7. 7.A clock shows 1:41. What time will it show 24 minutes later? (a) 2:05 (b) 1:55 (c) 3:05 (d) 2:15
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  11. 11.A clock shows 2:24. What time will it show 103 minutes later? (a) 4:07 (b) 3:57 (c) 4:17 (d) 5:07
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  13. 13.A clock shows 1:25. What time will it show 35 minutes later? (a) 2:00 (b) 1:50 (c) 2:10 (d) 3:00
  14. 14.How many degrees does the minute hand of a clock turn in 13 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  18. 18.A clock shows 10:51. What time will it show 96 minutes later? (a) 1:27 (b) 12:37 (c) 12:17 (d) 12:27
  19. 19.How many degrees does the minute hand of a clock turn in 11 minutes? =
  20. 20.A clock shows 4:21. What time will it show 118 minutes later? (a) 6:09 (b) 6:19 (c) 6:29 (d) 7:19
  21. 21.A clock shows 6:28. What time will it show 40 minutes later? (a) 7:08 (b) 6:58 (c) 7:18 (d) 8:08
  22. 22.A clock shows 2:27. What time will it show 129 minutes later? (a) 5:36 (b) 4:46 (c) 4:26 (d) 4:36
  23. 23.How many degrees does the hour hand of a clock turn in 94 minutes? =
  24. 24.A clock shows 3:40. What time will it show 116 minutes later? (a) 6:36 (b) 5:26 (c) 5:36 (d) 5:46
  25. 25.A clock shows 11:30. What time will it show 163 minutes later? (a) 2:03 (b) 2:23 (c) 2:13 (d) 3:13
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  28. 28.A clock shows 4:18. What time will it show 138 minutes later? (a) 6:46 (b) 6:26 (c) 7:36 (d) 6:36
  29. 29.A clock shows 3:21. What time will it show 152 minutes later? (a) 6:03 (b) 5:53 (c) 6:53 (d) 5:43
  30. 30.How many degrees does the minute hand of a clock turn in 41 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 83 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 18 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 104 minutes? =
  40. 40.A clock shows 11:51. What time will it show 161 minutes later? (a) 3:32 (b) 2:22 (c) 2:32 (d) 2:42

Answer key

  1. 81
  2. 3:33
  3. 10.5
  4. 86
  5. 222
  6. 43.5
  7. 2:05
  8. 15.5
  9. 86.5
  10. 53
  11. 4:07
  12. 157
  13. 2:00
  14. 78
  15. 13.5
  16. 116
  17. 51
  18. 12:27
  19. 66
  20. 6:19
  21. 7:08
  22. 4:36
  23. 47
  24. 5:36
  25. 2:13
  26. 149.5
  27. 32.5
  28. 6:36
  29. 5:53
  30. 246
  31. 72.5
  32. 137.5
  33. 41.5
  34. 92
  35. 27
  36. 130.5
  37. 108
  38. 54.5
  39. 52
  40. 2:32

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