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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 910 · 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 13 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  3. 3.A clock shows 5:18. What time will it show 86 minutes later? (a) 6:54 (b) 6:34 (c) 7:44 (d) 6:44
  4. 4.How many degrees does the minute hand of a clock turn in 8 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
  7. 7.A clock shows 8:34. What time will it show 157 minutes later? (a) 12:11 (b) 11:01 (c) 11:11 (d) 11:21
  8. 8.How many degrees does the minute hand of a clock turn in 5 minutes? =
  9. 9.A clock shows 12:33. What time will it show 41 minutes later? (a) 2:14 (b) 1:04 (c) 1:24 (d) 1:14
  10. 10.A clock shows 1:09. What time will it show 47 minutes later? (a) 2:06 (b) 1:56 (c) 2:56 (d) 1:46
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 36 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 21 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 154 minutes? =
  16. 16.A clock shows 2:49. What time will it show 42 minutes later? (a) 3:21 (b) 3:41 (c) 4:31 (d) 3:31
  17. 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 28 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 20 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 48 minutes? =
  25. 25.A clock shows 11:08. What time will it show 89 minutes later? (a) 12:27 (b) 12:47 (c) 1:37 (d) 12:37
  26. 26.A clock shows 12:52. What time will it show 145 minutes later? (a) 3:17 (b) 3:27 (c) 3:07 (d) 4:17
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  28. 28.A clock shows 5:01. What time will it show 129 minutes later? (a) 7:20 (b) 7:00 (c) 8:10 (d) 7:10
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  31. 31.A clock shows 11:20. What time will it show 118 minutes later? (a) 1:18 (b) 2:18 (c) 1:28 (d) 1:08
  32. 32.How many degrees does the minute hand of a clock turn in 19 minutes? =
  33. 33.A clock shows 2:14. What time will it show 134 minutes later? (a) 4:38 (b) 4:28 (c) 5:28 (d) 4:18
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  35. 35.A clock shows 12:10. What time will it show 148 minutes later? (a) 2:28 (b) 2:48 (c) 3:38 (d) 2:38
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 169 minutes? =

Answer key

  1. 78
  2. 92
  3. 6:44
  4. 48
  5. 60
  6. 126.5
  7. 11:11
  8. 30
  9. 1:14
  10. 1:56
  11. 93
  12. 26.5
  13. 18
  14. 126
  15. 77
  16. 3:31
  17. 108
  18. 167.5
  19. 234
  20. 168
  21. 120
  22. 165.5
  23. 106
  24. 24
  25. 12:37
  26. 3:17
  27. 137.5
  28. 7:10
  29. 147
  30. 51.5
  31. 1:18
  32. 114
  33. 4:28
  34. 137
  35. 2:38
  36. 159
  37. 18
  38. 30
  39. 67
  40. 84.5

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