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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 940 · 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 6:00. What time will it show 98 minutes later? (a) 8:38 (b) 7:38 (c) 7:28 (d) 7:48
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 29 minutes? =
  4. 4.A clock shows 8:19. What time will it show 27 minutes later? (a) 9:46 (b) 8:36 (c) 8:56 (d) 8:46
  5. 5.A clock shows 3:09. What time will it show 156 minutes later? (a) 6:45 (b) 5:35 (c) 5:55 (d) 5:45
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 57 minutes? =
  8. 8.A clock shows 11:07. What time will it show 106 minutes later? (a) 1:53 (b) 12:43 (c) 1:03 (d) 12:53
  9. 9.How many degrees does the hour hand of a clock turn in 162 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  15. 15.A clock shows 10:07. What time will it show 126 minutes later? (a) 12:23 (b) 12:03 (c) 1:13 (d) 12:13
  16. 16.How many degrees does the hour hand of a clock turn in 108 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 11 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 17 minutes? =
  19. 19.A clock shows 1:28. What time will it show 78 minutes later? (a) 2:56 (b) 2:36 (c) 3:46 (d) 2:46
  20. 20.How many degrees does the hour hand of a clock turn in 145 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  22. 22.A clock shows 1:30. What time will it show 117 minutes later? (a) 4:27 (b) 3:27 (c) 3:37 (d) 3:17
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  24. 24.A clock shows 2:40. What time will it show 161 minutes later? (a) 5:11 (b) 5:31 (c) 5:21 (d) 6:21
  25. 25.A clock shows 9:19. What time will it show 62 minutes later? (a) 10:11 (b) 10:21 (c) 11:21 (d) 10:31
  26. 26.How many degrees does the minute hand of a clock turn in 35 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 86 minutes? =
  30. 30.A clock shows 10:46. What time will it show 71 minutes later? (a) 12:07 (b) 12:57 (c) 11:57 (d) 11:47
  31. 31.How many degrees does the hour hand of a clock turn in 55 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  33. 33.A clock shows 3:04. What time will it show 106 minutes later? (a) 4:40 (b) 5:50 (c) 5:00 (d) 4:50
  34. 34.How many degrees does the minute hand of a clock turn in 13 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 21 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 178 minutes? =
  39. 39.A clock shows 3:45. What time will it show 139 minutes later? (a) 6:14 (b) 7:04 (c) 5:54 (d) 6:04
  40. 40.A clock shows 4:43. What time will it show 73 minutes later? (a) 5:56 (b) 6:06 (c) 6:56 (d) 5:46

Answer key

  1. 7:38
  2. 176.5
  3. 174
  4. 8:46
  5. 5:45
  6. 54
  7. 342
  8. 12:53
  9. 81
  10. 66
  11. 119.5
  12. 144.5
  13. 146.5
  14. 39.5
  15. 12:13
  16. 54
  17. 66
  18. 102
  19. 2:46
  20. 72.5
  21. 53.5
  22. 3:27
  23. 166.5
  24. 5:21
  25. 10:21
  26. 210
  27. 84
  28. 90
  29. 43
  30. 11:57
  31. 27.5
  32. 27
  33. 4:50
  34. 78
  35. 18.5
  36. 83
  37. 126
  38. 89
  39. 6:04
  40. 5:56

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