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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 130 · 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 2:19? (in degrees) =
  2. 2.A clock shows 2:36. What time will it show 103 minutes later? (a) 4:19 (b) 4:09 (c) 5:19 (d) 4:29
  3. 3.How many degrees does the minute hand of a clock turn in 37 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 14 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  9. 9.A clock shows 1:00. What time will it show 138 minutes later? (a) 4:18 (b) 3:28 (c) 3:08 (d) 3:18
  10. 10.How many degrees does the hour hand of a clock turn in 117 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 161 minutes? =
  12. 12.A clock shows 11:44. What time will it show 137 minutes later? (a) 2:11 (b) 3:01 (c) 1:51 (d) 2:01
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 22 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  18. 18.A clock shows 10:22. What time will it show 145 minutes later? (a) 12:47 (b) 1:47 (c) 12:37 (d) 12:57
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 14 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  23. 23.A clock shows 10:52. What time will it show 119 minutes later? (a) 12:41 (b) 1:01 (c) 12:51 (d) 1:51
  24. 24.How many degrees does the minute hand of a clock turn in 6 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 57 minutes? =
  27. 27.A clock shows 5:43. What time will it show 66 minutes later? (a) 7:49 (b) 6:39 (c) 6:59 (d) 6:49
  28. 28.A clock shows 8:56. What time will it show 159 minutes later? (a) 11:45 (b) 11:25 (c) 11:35 (d) 12:35
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 52 minutes? =
  34. 34.A clock shows 3:14. What time will it show 42 minutes later? (a) 4:56 (b) 3:46 (c) 4:06 (d) 3:56
  35. 35.A clock shows 5:17. What time will it show 76 minutes later? (a) 6:33 (b) 7:33 (c) 6:23 (d) 6:43
  36. 36.A clock shows 1:49. What time will it show 119 minutes later? (a) 3:58 (b) 3:48 (c) 3:38 (d) 4:48
  37. 37.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  39. 39.A clock shows 10:40. What time will it show 39 minutes later? (a) 11:09 (b) 12:19 (c) 11:19 (d) 11:29
  40. 40.A clock shows 6:41. What time will it show 106 minutes later? (a) 8:37 (b) 9:27 (c) 8:17 (d) 8:27

Answer key

  1. 44.5
  2. 4:19
  3. 222
  4. 153
  5. 112
  6. 84
  7. 74
  8. 153
  9. 3:18
  10. 58.5
  11. 80.5
  12. 2:01
  13. 8
  14. 17.5
  15. 61
  16. 132
  17. 51.5
  18. 12:47
  19. 57.5
  20. 7
  21. 92.5
  22. 23
  23. 12:51
  24. 36
  25. 50
  26. 342
  27. 6:49
  28. 11:35
  29. 120.5
  30. 9.5
  31. 120.5
  32. 91.5
  33. 26
  34. 3:56
  35. 6:33
  36. 3:48
  37. 134.5
  38. 160
  39. 11:19
  40. 8:27

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