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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 142 · 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 6:45. What time will it show 169 minutes later? (a) 9:44 (b) 9:24 (c) 10:34 (d) 9:34
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 18 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  7. 7.A clock shows 12:40. What time will it show 156 minutes later? (a) 3:16 (b) 4:16 (c) 3:26 (d) 3:06
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  9. 9.A clock shows 8:33. What time will it show 141 minutes later? (a) 11:54 (b) 10:44 (c) 11:04 (d) 10:54
  10. 10.How many degrees does the hour hand of a clock turn in 87 minutes? =
  11. 11.A clock shows 3:55. What time will it show 95 minutes later? (a) 5:40 (b) 6:30 (c) 5:30 (d) 5:20
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  15. 15.A clock shows 7:10. What time will it show 15 minutes later? (a) 7:15 (b) 8:25 (c) 7:35 (d) 7:25
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 38 minutes? =
  18. 18.A clock shows 9:01. What time will it show 40 minutes later? (a) 9:41 (b) 9:51 (c) 10:41 (d) 9:31
  19. 19.How many degrees does the hour hand of a clock turn in 15 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 35 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  24. 24.A clock shows 1:25. What time will it show 88 minutes later? (a) 2:43 (b) 3:03 (c) 3:53 (d) 2:53
  25. 25.A clock shows 7:46. What time will it show 83 minutes later? (a) 9:09 (b) 10:09 (c) 9:19 (d) 8:59
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  28. 28.A clock shows 2:51. What time will it show 15 minutes later? (a) 3:06 (b) 4:06 (c) 3:16 (d) 2:56
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 6 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 25 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  39. 39.A clock shows 9:36. What time will it show 158 minutes later? (a) 12:24 (b) 12:14 (c) 1:14 (d) 12:04
  40. 40.A clock shows 2:40. What time will it show 157 minutes later? (a) 6:17 (b) 5:17 (c) 5:07 (d) 5:27

Answer key

  1. 9:34
  2. 158.5
  3. 108
  4. 147
  5. 83.5
  6. 84
  7. 3:16
  8. 39.5
  9. 10:54
  10. 43.5
  11. 5:30
  12. 73.5
  13. 90.5
  14. 23
  15. 7:25
  16. 166
  17. 228
  18. 9:41
  19. 7.5
  20. 142.5
  21. 159
  22. 17.5
  23. 157.5
  24. 2:53
  25. 9:09
  26. 66
  27. 2
  28. 3:06
  29. 87
  30. 150
  31. 116.5
  32. 129.5
  33. 33.5
  34. 36
  35. 120
  36. 51
  37. 150
  38. 103
  39. 12:14
  40. 5:17

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