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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 599 · 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 8:05. What time will it show 24 minutes later? (a) 9:29 (b) 8:29 (c) 8:39 (d) 8:19
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  3. 3.A clock shows 1:26. What time will it show 66 minutes later? (a) 3:32 (b) 2:42 (c) 2:32 (d) 2:22
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  6. 6.A clock shows 4:13. What time will it show 47 minutes later? (a) 5:10 (b) 4:50 (c) 5:00 (d) 6:00
  7. 7.How many degrees does the hour hand of a clock turn in 77 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 70 minutes? =
  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 7:09. What time will it show 119 minutes later? (a) 10:08 (b) 9:08 (c) 9:18 (d) 8:58
  12. 12.A clock shows 2:17. What time will it show 122 minutes later? (a) 4:09 (b) 4:29 (c) 4:19 (d) 5:19
  13. 13.How many degrees does the minute hand of a clock turn in 32 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 16 minutes? =
  15. 15.A clock shows 8:30. What time will it show 33 minutes later? (a) 9:03 (b) 8:53 (c) 10:03 (d) 9:13
  16. 16.How many degrees does the minute hand of a clock turn in 48 minutes? =
  17. 17.A clock shows 3:55. What time will it show 102 minutes later? (a) 6:37 (b) 5:37 (c) 5:47 (d) 5:27
  18. 18.A clock shows 2:34. What time will it show 164 minutes later? (a) 5:28 (b) 6:18 (c) 5:18 (d) 5:08
  19. 19.How many degrees does the hour hand of a clock turn in 36 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  21. 21.A clock shows 9:57. What time will it show 20 minutes later? (a) 11:17 (b) 10:17 (c) 10:27 (d) 10:07
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  23. 23.A clock shows 4:13. What time will it show 72 minutes later? (a) 5:35 (b) 5:15 (c) 5:25 (d) 6:25
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 58 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  28. 28.A clock shows 4:35. What time will it show 138 minutes later? (a) 7:53 (b) 7:03 (c) 6:43 (d) 6:53
  29. 29.How many degrees does the hour hand of a clock turn in 109 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 4 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 162 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  34. 34.A clock shows 2:14. What time will it show 104 minutes later? (a) 4:58 (b) 3:48 (c) 4:08 (d) 3:58
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 3 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  40. 40.A clock shows 8:07. What time will it show 132 minutes later? (a) 10:09 (b) 11:19 (c) 10:19 (d) 10:29

Answer key

  1. 8:29
  2. 1
  3. 2:32
  4. 123.5
  5. 77
  6. 5:00
  7. 38.5
  8. 124.5
  9. 35
  10. 53
  11. 9:08
  12. 4:19
  13. 192
  14. 96
  15. 9:03
  16. 288
  17. 5:37
  18. 5:18
  19. 18
  20. 15
  21. 10:17
  22. 109
  23. 5:25
  24. 39
  25. 348
  26. 99
  27. 155.5
  28. 6:53
  29. 54.5
  30. 24
  31. 81
  32. 141
  33. 179
  34. 3:58
  35. 38
  36. 18
  37. 8.5
  38. 138
  39. 85.5
  40. 10:19

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