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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 897 · 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 5:07. What time will it show 154 minutes later? (a) 8:41 (b) 7:41 (c) 7:31 (d) 7:51
  2. 2.A clock shows 4:58. What time will it show 160 minutes later? (a) 7:48 (b) 7:28 (c) 7:38 (d) 8:38
  3. 3.How many degrees does the minute hand of a clock turn in 25 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 89 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  7. 7.A clock shows 12:34. What time will it show 26 minutes later? (a) 2:00 (b) 1:10 (c) 12:50 (d) 1:00
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 32 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
  11. 11.A clock shows 6:31. What time will it show 64 minutes later? (a) 7:25 (b) 7:45 (c) 7:35 (d) 8:35
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  14. 14.A clock shows 2:26. What time will it show 92 minutes later? (a) 4:58 (b) 3:48 (c) 3:58 (d) 4:08
  15. 15.A clock shows 5:08. What time will it show 151 minutes later? (a) 8:39 (b) 7:39 (c) 7:29 (d) 7:49
  16. 16.A clock shows 3:51. What time will it show 80 minutes later? (a) 5:11 (b) 5:21 (c) 6:11 (d) 5:01
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 16 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 48 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  21. 21.A clock shows 4:16. What time will it show 118 minutes later? (a) 7:14 (b) 6:04 (c) 6:24 (d) 6:14
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  23. 23.A clock shows 3:38. What time will it show 113 minutes later? (a) 5:31 (b) 6:31 (c) 5:21 (d) 5:41
  24. 24.How many degrees does the minute hand of a clock turn in 7 minutes? =
  25. 25.A clock shows 8:09. What time will it show 137 minutes later? (a) 11:26 (b) 10:26 (c) 10:16 (d) 10:36
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  27. 27.A clock shows 11:43. What time will it show 39 minutes later? (a) 12:22 (b) 12:12 (c) 12:32 (d) 1:22
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  30. 30.A clock shows 10:11. What time will it show 141 minutes later? (a) 12:22 (b) 12:42 (c) 12:32 (d) 1:32
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 50 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 38 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  37. 37.A clock shows 8:11. What time will it show 123 minutes later? (a) 10:24 (b) 11:14 (c) 10:14 (d) 10:04
  38. 38.How many degrees does the hour hand of a clock turn in 133 minutes? =
  39. 39.A clock shows 4:50. What time will it show 27 minutes later? (a) 5:27 (b) 5:07 (c) 6:17 (d) 5:17
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =

Answer key

  1. 7:41
  2. 7:38
  3. 150
  4. 44.5
  5. 165
  6. 124
  7. 1:00
  8. 130.5
  9. 16
  10. 86
  11. 7:35
  12. 83.5
  13. 178
  14. 3:58
  15. 7:39
  16. 5:11
  17. 121.5
  18. 96
  19. 288
  20. 94
  21. 6:14
  22. 170.5
  23. 5:31
  24. 42
  25. 10:26
  26. 146.5
  27. 12:22
  28. 8
  29. 49.5
  30. 12:32
  31. 127.5
  32. 300
  33. 228
  34. 98.5
  35. 99
  36. 171
  37. 10:14
  38. 66.5
  39. 5:17
  40. 136

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