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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 812 · 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 5:47. What time will it show 68 minutes later? (a) 7:55 (b) 6:45 (c) 6:55 (d) 7:05
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  4. 4.A clock shows 1:28. What time will it show 36 minutes later? (a) 1:54 (b) 3:04 (c) 2:14 (d) 2:04
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 54 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  8. 8.A clock shows 7:14. What time will it show 39 minutes later? (a) 8:03 (b) 7:43 (c) 7:53 (d) 8:53
  9. 9.A clock shows 6:13. What time will it show 121 minutes later? (a) 8:24 (b) 8:04 (c) 8:14 (d) 9:14
  10. 10.How many degrees does the minute hand of a clock turn in 38 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 58 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  14. 14.A clock shows 3:50. What time will it show 96 minutes later? (a) 5:36 (b) 6:26 (c) 5:26 (d) 5:16
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 33 minutes? =
  18. 18.A clock shows 3:43. What time will it show 44 minutes later? (a) 4:17 (b) 5:27 (c) 4:37 (d) 4:27
  19. 19.How many degrees does the hour hand of a clock turn in 59 minutes? =
  20. 20.A clock shows 12:36. What time will it show 128 minutes later? (a) 2:44 (b) 3:44 (c) 2:34 (d) 2:54
  21. 21.A clock shows 5:54. What time will it show 46 minutes later? (a) 6:50 (b) 6:40 (c) 7:40 (d) 6:30
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 121 minutes? =
  24. 24.A clock shows 12:39. What time will it show 50 minutes later? (a) 2:29 (b) 1:19 (c) 1:29 (d) 1:39
  25. 25.A clock shows 1:53. What time will it show 11 minutes later? (a) 3:04 (b) 2:04 (c) 2:14 (d) 1:54
  26. 26.A clock shows 4:32. What time will it show 75 minutes later? (a) 5:37 (b) 5:57 (c) 6:47 (d) 5:47
  27. 27.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 5 minutes? =
  31. 31.A clock shows 2:23. What time will it show 22 minutes later? (a) 2:35 (b) 2:55 (c) 2:45 (d) 3:45
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  33. 33.A clock shows 5:54. What time will it show 35 minutes later? (a) 6:19 (b) 6:29 (c) 7:29 (d) 6:39
  34. 34.A clock shows 10:57. What time will it show 28 minutes later? (a) 11:15 (b) 12:25 (c) 11:25 (d) 11:35
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 78 minutes? =
  38. 38.A clock shows 5:03. What time will it show 94 minutes later? (a) 6:27 (b) 6:37 (c) 6:47 (d) 7:37
  39. 39.A clock shows 11:49. What time will it show 52 minutes later? (a) 12:41 (b) 12:31 (c) 12:51 (d) 1:41
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =

Answer key

  1. 6:55
  2. 96
  3. 22.5
  4. 2:04
  5. 103.5
  6. 324
  7. 55
  8. 7:53
  9. 8:14
  10. 228
  11. 112
  12. 348
  13. 133
  14. 5:26
  15. 2.5
  16. 147.5
  17. 198
  18. 4:27
  19. 29.5
  20. 2:44
  21. 6:40
  22. 162
  23. 60.5
  24. 1:29
  25. 2:04
  26. 5:47
  27. 163
  28. 174.5
  29. 136
  30. 30
  31. 2:45
  32. 152
  33. 6:29
  34. 11:25
  35. 106.5
  36. 72.5
  37. 39
  38. 6:37
  39. 12:41
  40. 172

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