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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 258 · 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.How many degrees does the hour hand of a clock turn in 162 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:21? (in degrees) =
  4. 4.A clock shows 5:04. What time will it show 118 minutes later? (a) 7:12 (b) 6:52 (c) 8:02 (d) 7:02
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  6. 6.A clock shows 5:58. What time will it show 59 minutes later? (a) 7:57 (b) 6:47 (c) 6:57 (d) 7:07
  7. 7.A clock shows 2:01. What time will it show 123 minutes later? (a) 5:04 (b) 3:54 (c) 4:04 (d) 4:14
  8. 8.How many degrees does the minute hand of a clock turn in 43 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  10. 10.A clock shows 7:13. What time will it show 148 minutes later? (a) 9:31 (b) 10:41 (c) 9:41 (d) 9:51
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 88 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 13 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 79 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 12 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 63 minutes? =
  20. 20.A clock shows 3:16. What time will it show 122 minutes later? (a) 5:18 (b) 5:08 (c) 5:28 (d) 6:18
  21. 21.A clock shows 2:09. What time will it show 138 minutes later? (a) 4:37 (b) 4:27 (c) 4:17 (d) 5:27
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 33 minutes? =
  25. 25.A clock shows 6:23. What time will it show 56 minutes later? (a) 7:19 (b) 8:19 (c) 7:09 (d) 7:29
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  27. 27.A clock shows 1:45. What time will it show 142 minutes later? (a) 5:07 (b) 4:17 (c) 3:57 (d) 4:07
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  31. 31.A clock shows 6:11. What time will it show 122 minutes later? (a) 8:23 (b) 8:03 (c) 9:13 (d) 8:13
  32. 32.A clock shows 1:34. What time will it show 100 minutes later? (a) 3:04 (b) 3:24 (c) 4:14 (d) 3:14
  33. 33.How many degrees does the minute hand of a clock turn in 7 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 75 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 20 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:44? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =

Answer key

  1. 81
  2. 166.5
  3. 55.5
  4. 7:02
  5. 32
  6. 6:57
  7. 4:04
  8. 258
  9. 130
  10. 9:41
  11. 119
  12. 74
  13. 44
  14. 46
  15. 111.5
  16. 78
  17. 39.5
  18. 72
  19. 31.5
  20. 5:18
  21. 4:27
  22. 121.5
  23. 14.5
  24. 16.5
  25. 7:19
  26. 14.5
  27. 4:07
  28. 51.5
  29. 122
  30. 43
  31. 8:13
  32. 3:14
  33. 42
  34. 106
  35. 37.5
  36. 133
  37. 33
  38. 120
  39. 62
  40. 130.5

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