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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 555 · 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 11:25? (in degrees) =
  2. 2.A clock shows 6:08. What time will it show 158 minutes later? (a) 9:46 (b) 8:46 (c) 8:56 (d) 8:36
  3. 3.How many degrees does the hour hand of a clock turn in 33 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 48 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 42 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 51 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  8. 8.A clock shows 6:39. What time will it show 112 minutes later? (a) 8:41 (b) 8:31 (c) 8:21 (d) 9:31
  9. 9.How many degrees does the minute hand of a clock turn in 5 minutes? =
  10. 10.A clock shows 8:46. What time will it show 145 minutes later? (a) 11:01 (b) 11:21 (c) 12:11 (d) 11:11
  11. 11.A clock shows 12:13. What time will it show 40 minutes later? (a) 12:53 (b) 12:43 (c) 1:53 (d) 1:03
  12. 12.A clock shows 2:58. What time will it show 128 minutes later? (a) 5:16 (b) 6:06 (c) 5:06 (d) 4:56
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  14. 14.A clock shows 11:02. What time will it show 44 minutes later? (a) 11:56 (b) 11:36 (c) 11:46 (d) 12:46
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  17. 17.A clock shows 1:01. What time will it show 137 minutes later? (a) 3:08 (b) 3:28 (c) 4:18 (d) 3:18
  18. 18.How many degrees does the hour hand of a clock turn in 23 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 46 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 12 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 22 minutes? =
  25. 25.A clock shows 6:37. What time will it show 148 minutes later? (a) 8:55 (b) 10:05 (c) 9:15 (d) 9:05
  26. 26.A clock shows 10:19. What time will it show 28 minutes later? (a) 10:57 (b) 10:37 (c) 10:47 (d) 11:47
  27. 27.How many degrees does the minute hand of a clock turn in 31 minutes? =
  28. 28.A clock shows 7:52. What time will it show 160 minutes later? (a) 10:42 (b) 11:32 (c) 10:32 (d) 10:22
  29. 29.A clock shows 11:31. What time will it show 153 minutes later? (a) 2:14 (b) 3:04 (c) 2:04 (d) 1:54
  30. 30.How many degrees does the hour hand of a clock turn in 170 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 43 minutes? =
  32. 32.A clock shows 3:54. What time will it show 107 minutes later? (a) 5:41 (b) 5:31 (c) 5:51 (d) 6:41
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  34. 34.A clock shows 11:00. What time will it show 50 minutes later? (a) 12:00 (b) 11:40 (c) 11:50 (d) 12:50
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 40 minutes? =
  38. 38.A clock shows 8:51. What time will it show 168 minutes later? (a) 11:49 (b) 12:39 (c) 11:39 (d) 11:29
  39. 39.How many degrees does the minute hand of a clock turn in 17 minutes? =
  40. 40.A clock shows 12:15. What time will it show 68 minutes later? (a) 2:23 (b) 1:23 (c) 1:13 (d) 1:33

Answer key

  1. 167.5
  2. 8:46
  3. 16.5
  4. 288
  5. 21
  6. 306
  7. 104
  8. 8:31
  9. 30
  10. 11:11
  11. 12:53
  12. 5:06
  13. 101
  14. 11:46
  15. 36.5
  16. 90
  17. 3:18
  18. 11.5
  19. 276
  20. 120.5
  21. 91
  22. 118.5
  23. 72
  24. 132
  25. 9:05
  26. 10:47
  27. 186
  28. 10:32
  29. 2:04
  30. 85
  31. 258
  32. 5:41
  33. 104.5
  34. 11:50
  35. 60
  36. 163
  37. 240
  38. 11:39
  39. 102
  40. 1:23

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