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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 4 · 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 11:59. What time will it show 58 minutes later? (a) 12:47 (b) 12:57 (c) 1:57 (d) 1:07
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  4. 4.A clock shows 3:38. What time will it show 155 minutes later? (a) 6:13 (b) 6:23 (c) 6:03 (d) 7:13
  5. 5.How many degrees does the hour hand of a clock turn in 22 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 49 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  9. 9.A clock shows 6:27. What time will it show 121 minutes later? (a) 9:28 (b) 8:38 (c) 8:18 (d) 8:28
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  11. 11.A clock shows 5:00. What time will it show 60 minutes later? (a) 6:00 (b) 6:10 (c) 5:50 (d) 7:00
  12. 12.A clock shows 9:19. What time will it show 140 minutes later? (a) 11:29 (b) 12:39 (c) 11:49 (d) 11:39
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  14. 14.A clock shows 6:39. What time will it show 127 minutes later? (a) 8:56 (b) 8:46 (c) 9:46 (d) 8:36
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  17. 17.A clock shows 8:48. What time will it show 40 minutes later? (a) 9:18 (b) 9:38 (c) 9:28 (d) 10:28
  18. 18.How many degrees does the minute hand of a clock turn in 57 minutes? =
  19. 19.A clock shows 6:53. What time will it show 34 minutes later? (a) 7:17 (b) 7:27 (c) 7:37 (d) 8:27
  20. 20.How many degrees does the hour hand of a clock turn in 39 minutes? =
  21. 21.A clock shows 11:48. What time will it show 51 minutes later? (a) 12:39 (b) 1:39 (c) 12:49 (d) 12:29
  22. 22.A clock shows 10:14. What time will it show 130 minutes later? (a) 12:34 (b) 12:24 (c) 1:24 (d) 12:14
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
  24. 24.A clock shows 4:29. What time will it show 56 minutes later? (a) 5:25 (b) 5:35 (c) 6:25 (d) 5:15
  25. 25.A clock shows 1:13. What time will it show 43 minutes later? (a) 1:56 (b) 2:06 (c) 1:46 (d) 2:56
  26. 26.How many degrees does the hour hand of a clock turn in 100 minutes? =
  27. 27.A clock shows 9:49. What time will it show 69 minutes later? (a) 11:08 (b) 11:58 (c) 10:58 (d) 10:48
  28. 28.How many degrees does the hour hand of a clock turn in 58 minutes? =
  29. 29.A clock shows 4:29. What time will it show 22 minutes later? (a) 5:51 (b) 5:01 (c) 4:51 (d) 4:41
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  32. 32.A clock shows 6:53. What time will it show 86 minutes later? (a) 8:09 (b) 8:19 (c) 8:29 (d) 9:19
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 87 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 39 minutes? =
  36. 36.A clock shows 10:37. What time will it show 100 minutes later? (a) 1:17 (b) 12:17 (c) 12:07 (d) 12:27
  37. 37.How many degrees does the hour hand of a clock turn in 72 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 148 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  40. 40.A clock shows 2:11. What time will it show 126 minutes later? (a) 5:17 (b) 4:07 (c) 4:27 (d) 4:17

Answer key

  1. 12:57
  2. 142
  3. 64.5
  4. 6:13
  5. 11
  6. 294
  7. 145.5
  8. 41
  9. 8:28
  10. 66.5
  11. 6:00
  12. 11:39
  13. 105.5
  14. 8:46
  15. 61.5
  16. 124
  17. 9:28
  18. 342
  19. 7:27
  20. 19.5
  21. 12:39
  22. 12:24
  23. 133.5
  24. 5:25
  25. 1:56
  26. 50
  27. 10:58
  28. 29
  29. 4:51
  30. 142.5
  31. 49
  32. 8:19
  33. 58
  34. 43.5
  35. 234
  36. 12:17
  37. 36
  38. 74
  39. 77.5
  40. 4:17

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