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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 786 · 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.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  2. 2.A clock shows 1:59. What time will it show 161 minutes later? (a) 4:50 (b) 4:30 (c) 5:40 (d) 4:40
  3. 3.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 58 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 72 minutes? =
  6. 6.A clock shows 2:17. What time will it show 52 minutes later? (a) 4:09 (b) 2:59 (c) 3:19 (d) 3:09
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 5 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  10. 10.A clock shows 5:11. What time will it show 36 minutes later? (a) 6:47 (b) 5:37 (c) 5:47 (d) 5:57
  11. 11.A clock shows 3:16. What time will it show 29 minutes later? (a) 3:55 (b) 3:45 (c) 4:45 (d) 3:35
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  14. 14.A clock shows 5:05. What time will it show 63 minutes later? (a) 7:08 (b) 5:58 (c) 6:08 (d) 6:18
  15. 15.A clock shows 3:16. What time will it show 35 minutes later? (a) 4:51 (b) 3:51 (c) 4:01 (d) 3:41
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 154 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 48 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 43 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 45 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  27. 27.A clock shows 1:11. What time will it show 106 minutes later? (a) 2:57 (b) 3:57 (c) 2:47 (d) 3:07
  28. 28.A clock shows 5:41. What time will it show 148 minutes later? (a) 9:09 (b) 7:59 (c) 8:19 (d) 8:09
  29. 29.A clock shows 9:59. What time will it show 120 minutes later? (a) 11:49 (b) 12:59 (c) 12:09 (d) 11:59
  30. 30.A clock shows 9:55. What time will it show 24 minutes later? (a) 10:09 (b) 11:19 (c) 10:29 (d) 10:19
  31. 31.A clock shows 4:31. What time will it show 101 minutes later? (a) 6:12 (b) 6:02 (c) 6:22 (d) 7:12
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  33. 33.A clock shows 10:46. What time will it show 58 minutes later? (a) 11:44 (b) 11:54 (c) 11:34 (d) 12:44
  34. 34.How many degrees does the hour hand of a clock turn in 178 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 152 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 116 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  38. 38.A clock shows 2:07. What time will it show 167 minutes later? (a) 5:54 (b) 4:54 (c) 4:44 (d) 5:04
  39. 39.A clock shows 4:02. What time will it show 170 minutes later? (a) 7:52 (b) 6:52 (c) 6:42 (d) 7:02
  40. 40.A clock shows 1:12. What time will it show 75 minutes later? (a) 2:27 (b) 2:17 (c) 3:27 (d) 2:37

Answer key

  1. 114.5
  2. 4:40
  3. 169
  4. 29
  5. 36
  6. 3:09
  7. 25
  8. 30
  9. 107.5
  10. 5:47
  11. 3:45
  12. 171.5
  13. 127.5
  14. 6:08
  15. 3:51
  16. 40.5
  17. 119.5
  18. 77
  19. 20.5
  20. 24
  21. 30.5
  22. 163
  23. 258
  24. 132.5
  25. 270
  26. 85
  27. 2:57
  28. 8:09
  29. 11:59
  30. 10:19
  31. 6:12
  32. 41.5
  33. 11:44
  34. 89
  35. 76
  36. 58
  37. 125
  38. 4:54
  39. 6:52
  40. 2:27

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