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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 58 · 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 4:58? (in degrees) =
  2. 2.A clock shows 1:06. What time will it show 128 minutes later? (a) 3:04 (b) 3:14 (c) 3:24 (d) 4:14
  3. 3.A clock shows 3:28. What time will it show 132 minutes later? (a) 5:50 (b) 5:40 (c) 5:30 (d) 6:40
  4. 4.How many degrees does the hour hand of a clock turn in 80 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 14 minutes? =
  6. 6.A clock shows 7:51. What time will it show 36 minutes later? (a) 8:37 (b) 8:17 (c) 8:27 (d) 9:27
  7. 7.A clock shows 1:44. What time will it show 13 minutes later? (a) 1:57 (b) 2:07 (c) 2:57 (d) 1:47
  8. 8.How many degrees does the hour hand of a clock turn in 120 minutes? =
  9. 9.A clock shows 5:11. What time will it show 105 minutes later? (a) 7:56 (b) 6:56 (c) 6:46 (d) 7:06
  10. 10.How many degrees does the minute hand of a clock turn in 56 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 153 minutes? =
  12. 12.A clock shows 9:00. What time will it show 101 minutes later? (a) 11:41 (b) 10:51 (c) 10:31 (d) 10:41
  13. 13.How many degrees does the minute hand of a clock turn in 2 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 144 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 132 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 19 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  26. 26.A clock shows 1:53. What time will it show 63 minutes later? (a) 2:46 (b) 3:56 (c) 3:06 (d) 2:56
  27. 27.A clock shows 11:01. What time will it show 13 minutes later? (a) 11:14 (b) 12:14 (c) 11:04 (d) 11:24
  28. 28.A clock shows 9:41. What time will it show 60 minutes later? (a) 10:31 (b) 11:41 (c) 10:41 (d) 10:51
  29. 29.How many degrees does the minute hand of a clock turn in 47 minutes? =
  30. 30.A clock shows 3:22. What time will it show 108 minutes later? (a) 6:10 (b) 5:20 (c) 5:10 (d) 5:00
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 112 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  35. 35.A clock shows 1:52. What time will it show 163 minutes later? (a) 4:45 (b) 4:25 (c) 5:35 (d) 4:35
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  37. 37.A clock shows 4:36. What time will it show 35 minutes later? (a) 5:11 (b) 5:01 (c) 5:21 (d) 6:11
  38. 38.A clock shows 1:29. What time will it show 29 minutes later? (a) 2:58 (b) 2:08 (c) 1:58 (d) 1:48
  39. 39.A clock shows 2:16. What time will it show 153 minutes later? (a) 4:59 (b) 4:39 (c) 5:49 (d) 4:49
  40. 40.A clock shows 2:25. What time will it show 136 minutes later? (a) 5:41 (b) 4:51 (c) 4:41 (d) 4:31

Answer key

  1. 161
  2. 3:14
  3. 5:40
  4. 40
  5. 84
  6. 8:27
  7. 1:57
  8. 60
  9. 6:56
  10. 336
  11. 76.5
  12. 10:41
  13. 12
  14. 72
  15. 173
  16. 159
  17. 66
  18. 114
  19. 66
  20. 51
  21. 83.5
  22. 5.5
  23. 178.5
  24. 88.5
  25. 101.5
  26. 2:56
  27. 11:14
  28. 10:41
  29. 282
  30. 5:10
  31. 43
  32. 56
  33. 148
  34. 178
  35. 4:35
  36. 121.5
  37. 5:11
  38. 1:58
  39. 4:49
  40. 4:41

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