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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 268 · 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 12:34. What time will it show 138 minutes later? (a) 2:42 (b) 3:02 (c) 3:52 (d) 2:52
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  3. 3.A clock shows 8:24. What time will it show 55 minutes later? (a) 9:09 (b) 10:19 (c) 9:19 (d) 9:29
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  5. 5.A clock shows 5:05. What time will it show 128 minutes later? (a) 7:03 (b) 7:13 (c) 8:13 (d) 7:23
  6. 6.How many degrees does the minute hand of a clock turn in 13 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  8. 8.A clock shows 9:37. What time will it show 135 minutes later? (a) 11:52 (b) 12:52 (c) 11:42 (d) 12:02
  9. 9.A clock shows 4:37. What time will it show 49 minutes later? (a) 5:36 (b) 6:26 (c) 5:26 (d) 5:16
  10. 10.A clock shows 7:16. What time will it show 96 minutes later? (a) 9:52 (b) 8:52 (c) 8:42 (d) 9:02
  11. 11.A clock shows 1:38. What time will it show 22 minutes later? (a) 3:00 (b) 1:50 (c) 2:10 (d) 2:00
  12. 12.A clock shows 3:48. What time will it show 82 minutes later? (a) 5:20 (b) 5:10 (c) 6:10 (d) 5:00
  13. 13.A clock shows 3:17. What time will it show 148 minutes later? (a) 6:45 (b) 5:35 (c) 5:55 (d) 5:45
  14. 14.How many degrees does the hour hand of a clock turn in 16 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 73 minutes? =
  18. 18.A clock shows 10:04. What time will it show 14 minutes later? (a) 10:08 (b) 11:18 (c) 10:18 (d) 10:28
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  20. 20.A clock shows 9:17. What time will it show 142 minutes later? (a) 11:49 (b) 12:39 (c) 11:29 (d) 11:39
  21. 21.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 35 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 58 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 70 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  26. 26.A clock shows 3:43. What time will it show 85 minutes later? (a) 4:58 (b) 5:08 (c) 6:08 (d) 5:18
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 167 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 152 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 130 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 153 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 21 minutes? =
  35. 35.A clock shows 3:13. What time will it show 33 minutes later? (a) 3:36 (b) 4:46 (c) 3:46 (d) 3:56
  36. 36.How many degrees does the hour hand of a clock turn in 38 minutes? =
  37. 37.A clock shows 10:35. What time will it show 162 minutes later? (a) 1:07 (b) 2:17 (c) 1:17 (d) 1:27
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  39. 39.A clock shows 10:04. What time will it show 118 minutes later? (a) 11:52 (b) 12:12 (c) 12:02 (d) 1:02
  40. 40.A clock shows 7:35. What time will it show 73 minutes later? (a) 8:58 (b) 9:48 (c) 8:48 (d) 8:38

Answer key

  1. 2:52
  2. 12.5
  3. 9:19
  4. 43.5
  5. 7:13
  6. 78
  7. 176.5
  8. 11:52
  9. 5:26
  10. 8:52
  11. 2:00
  12. 5:10
  13. 5:45
  14. 8
  15. 84
  16. 95.5
  17. 36.5
  18. 10:18
  19. 94
  20. 11:39
  21. 118
  22. 210
  23. 348
  24. 35
  25. 14.5
  26. 5:08
  27. 50.5
  28. 83.5
  29. 81
  30. 76
  31. 65
  32. 76.5
  33. 14.5
  34. 10.5
  35. 3:46
  36. 19
  37. 1:17
  38. 47.5
  39. 12:02
  40. 8:48

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