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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 843 · 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 5:57? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  3. 3.A clock shows 8:09. What time will it show 25 minutes later? (a) 8:34 (b) 9:34 (c) 8:44 (d) 8:24
  4. 4.How many degrees does the hour hand of a clock turn in 121 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
  6. 6.A clock shows 11:44. What time will it show 130 minutes later? (a) 2:54 (b) 1:54 (c) 1:44 (d) 2:04
  7. 7.How many degrees does the minute hand of a clock turn in 5 minutes? =
  8. 8.A clock shows 3:31. What time will it show 73 minutes later? (a) 5:44 (b) 4:54 (c) 4:44 (d) 4:34
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  10. 10.A clock shows 2:14. What time will it show 145 minutes later? (a) 4:49 (b) 5:39 (c) 4:29 (d) 4:39
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  14. 14.A clock shows 9:12. What time will it show 113 minutes later? (a) 12:05 (b) 10:55 (c) 11:05 (d) 11:15
  15. 15.How many degrees does the hour hand of a clock turn in 51 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 27 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 37 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 78 minutes? =
  19. 19.A clock shows 12:25. What time will it show 70 minutes later? (a) 1:45 (b) 2:35 (c) 1:25 (d) 1:35
  20. 20.A clock shows 11:11. What time will it show 129 minutes later? (a) 2:20 (b) 1:20 (c) 1:10 (d) 1:30
  21. 21.A clock shows 3:25. What time will it show 44 minutes later? (a) 5:09 (b) 4:19 (c) 3:59 (d) 4:09
  22. 22.A clock shows 9:59. What time will it show 162 minutes later? (a) 12:51 (b) 12:31 (c) 1:41 (d) 12:41
  23. 23.A clock shows 8:30. What time will it show 15 minutes later? (a) 8:55 (b) 8:35 (c) 8:45 (d) 9:45
  24. 24.A clock shows 11:01. What time will it show 170 minutes later? (a) 2:01 (b) 1:51 (c) 2:51 (d) 1:41
  25. 25.How many degrees does the hour hand of a clock turn in 61 minutes? =
  26. 26.A clock shows 7:30. What time will it show 14 minutes later? (a) 8:44 (b) 7:54 (c) 7:34 (d) 7:44
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  28. 28.A clock shows 8:48. What time will it show 137 minutes later? (a) 11:05 (b) 11:15 (c) 10:55 (d) 12:05
  29. 29.A clock shows 11:31. What time will it show 21 minutes later? (a) 12:52 (b) 11:42 (c) 12:02 (d) 11:52
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  32. 32.A clock shows 3:37. What time will it show 32 minutes later? (a) 3:59 (b) 5:09 (c) 4:19 (d) 4:09
  33. 33.A clock shows 6:29. What time will it show 14 minutes later? (a) 6:43 (b) 6:33 (c) 6:53 (d) 7:43
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 57 minutes? =
  37. 37.A clock shows 5:15. What time will it show 39 minutes later? (a) 6:54 (b) 6:04 (c) 5:54 (d) 5:44
  38. 38.A clock shows 1:10. What time will it show 72 minutes later? (a) 3:22 (b) 2:32 (c) 2:12 (d) 2:22
  39. 39.A clock shows 12:56. What time will it show 122 minutes later? (a) 2:48 (b) 2:58 (c) 3:58 (d) 3:08
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =

Answer key

  1. 163.5
  2. 155.5
  3. 8:34
  4. 60.5
  5. 180
  6. 1:54
  7. 30
  8. 4:44
  9. 71.5
  10. 4:39
  11. 113
  12. 62
  13. 127.5
  14. 11:05
  15. 25.5
  16. 13.5
  17. 222
  18. 39
  19. 1:35
  20. 1:20
  21. 4:09
  22. 12:41
  23. 8:45
  24. 1:51
  25. 30.5
  26. 7:44
  27. 171.5
  28. 11:05
  29. 11:52
  30. 179
  31. 123
  32. 4:09
  33. 6:43
  34. 128.5
  35. 8.5
  36. 342
  37. 5:54
  38. 2:22
  39. 2:58
  40. 17

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