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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 505 · 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 4:50. What time will it show 74 minutes later? (a) 7:04 (b) 6:04 (c) 6:14 (d) 5:54
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  3. 3.A clock shows 1:14. What time will it show 168 minutes later? (a) 4:12 (b) 5:02 (c) 4:02 (d) 3:52
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 131 minutes? =
  6. 6.A clock shows 4:53. What time will it show 121 minutes later? (a) 7:54 (b) 6:54 (c) 7:04 (d) 6:44
  7. 7.How many degrees does the hour hand of a clock turn in 22 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 53 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  13. 13.A clock shows 6:39. What time will it show 97 minutes later? (a) 8:26 (b) 8:16 (c) 9:16 (d) 8:06
  14. 14.A clock shows 6:24. What time will it show 162 minutes later? (a) 10:06 (b) 9:16 (c) 8:56 (d) 9:06
  15. 15.A clock shows 4:32. What time will it show 67 minutes later? (a) 5:39 (b) 6:39 (c) 5:49 (d) 5:29
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  17. 17.A clock shows 1:10. What time will it show 113 minutes later? (a) 3:03 (b) 3:13 (c) 4:03 (d) 2:53
  18. 18.How many degrees does the minute hand of a clock turn in 6 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 94 minutes? =
  20. 20.A clock shows 4:45. What time will it show 37 minutes later? (a) 5:12 (b) 6:22 (c) 5:22 (d) 5:32
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  22. 22.A clock shows 11:46. What time will it show 47 minutes later? (a) 12:23 (b) 12:33 (c) 12:43 (d) 1:33
  23. 23.A clock shows 8:08. What time will it show 132 minutes later? (a) 10:20 (b) 10:10 (c) 11:20 (d) 10:30
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  25. 25.A clock shows 2:54. What time will it show 13 minutes later? (a) 2:57 (b) 3:07 (c) 3:17 (d) 4:07
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  27. 27.A clock shows 9:44. What time will it show 82 minutes later? (a) 12:06 (b) 11:06 (c) 10:56 (d) 11:16
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 32 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 18 minutes? =
  32. 32.A clock shows 4:01. What time will it show 30 minutes later? (a) 4:41 (b) 4:31 (c) 5:31 (d) 4:21
  33. 33.A clock shows 11:46. What time will it show 15 minutes later? (a) 12:01 (b) 11:51 (c) 1:01 (d) 12:11
  34. 34.A clock shows 10:07. What time will it show 161 minutes later? (a) 12:48 (b) 12:38 (c) 12:58 (d) 1:48
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 130 minutes? =
  37. 37.A clock shows 7:22. What time will it show 128 minutes later? (a) 9:40 (b) 9:30 (c) 10:30 (d) 9:20
  38. 38.A clock shows 8:28. What time will it show 123 minutes later? (a) 11:31 (b) 10:21 (c) 10:31 (d) 10:41
  39. 39.How many degrees does the hour hand of a clock turn in 33 minutes? =
  40. 40.A clock shows 9:29. What time will it show 47 minutes later? (a) 11:16 (b) 10:16 (c) 10:06 (d) 10:26

Answer key

  1. 6:04
  2. 36
  3. 4:02
  4. 177
  5. 65.5
  6. 6:54
  7. 11
  8. 104
  9. 109.5
  10. 318
  11. 16
  12. 10
  13. 8:16
  14. 9:06
  15. 5:39
  16. 5.5
  17. 3:03
  18. 36
  19. 47
  20. 5:22
  21. 24
  22. 12:33
  23. 10:20
  24. 36.5
  25. 3:07
  26. 17
  27. 11:06
  28. 37
  29. 101
  30. 16
  31. 108
  32. 4:31
  33. 12:01
  34. 12:48
  35. 58.5
  36. 65
  37. 9:30
  38. 10:31
  39. 16.5
  40. 10:16

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