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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 45 · 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 minute hand of a clock turn in 39 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 18 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 55 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:22? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:42? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 4 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 30 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  12. 12.A clock shows 3:40. What time will it show 142 minutes later? (a) 6:12 (b) 7:02 (c) 6:02 (d) 5:52
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  17. 17.A clock shows 2:40. What time will it show 73 minutes later? (a) 3:43 (b) 4:03 (c) 4:53 (d) 3:53
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  19. 19.A clock shows 2:20. What time will it show 98 minutes later? (a) 4:58 (b) 3:58 (c) 4:08 (d) 3:48
  20. 20.How many degrees does the hour hand of a clock turn in 125 minutes? =
  21. 21.A clock shows 10:37. What time will it show 32 minutes later? (a) 10:59 (b) 11:19 (c) 11:09 (d) 12:09
  22. 22.A clock shows 7:01. What time will it show 132 minutes later? (a) 10:13 (b) 9:13 (c) 9:23 (d) 9:03
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 15 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 161 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 29 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  29. 29.A clock shows 8:05. What time will it show 74 minutes later? (a) 10:19 (b) 9:29 (c) 9:19 (d) 9:09
  30. 30.A clock shows 5:46. What time will it show 30 minutes later? (a) 6:26 (b) 6:06 (c) 7:16 (d) 6:16
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 44 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 25 minutes? =
  36. 36.A clock shows 7:58. What time will it show 104 minutes later? (a) 9:52 (b) 9:42 (c) 9:32 (d) 10:42
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  39. 39.A clock shows 7:03. What time will it show 146 minutes later? (a) 9:29 (b) 9:39 (c) 9:19 (d) 10:29
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =

Answer key

  1. 234
  2. 108
  3. 105
  4. 330
  5. 1
  6. 144.5
  7. 39
  8. 151
  9. 24
  10. 180
  11. 155.5
  12. 6:02
  13. 179
  14. 127.5
  15. 63.5
  16. 62.5
  17. 3:53
  18. 163
  19. 3:58
  20. 62.5
  21. 11:09
  22. 9:13
  23. 157
  24. 90
  25. 80.5
  26. 132
  27. 174
  28. 118
  29. 9:19
  30. 6:16
  31. 130
  32. 139.5
  33. 264
  34. 98.5
  35. 150
  36. 9:42
  37. 12.5
  38. 76
  39. 9:29
  40. 132

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