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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 856 · 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 3:05? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 51 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 56 minutes? =
  4. 4.A clock shows 1:12. What time will it show 147 minutes later? (a) 3:29 (b) 3:39 (c) 3:49 (d) 4:39
  5. 5.A clock shows 1:00. What time will it show 76 minutes later? (a) 2:06 (b) 2:26 (c) 3:16 (d) 2:16
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  8. 8.A clock shows 6:38. What time will it show 159 minutes later? (a) 10:17 (b) 9:17 (c) 9:27 (d) 9:07
  9. 9.A clock shows 9:53. What time will it show 162 minutes later? (a) 1:35 (b) 12:45 (c) 12:35 (d) 12:25
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  11. 11.A clock shows 4:43. What time will it show 75 minutes later? (a) 5:48 (b) 6:58 (c) 5:58 (d) 6:08
  12. 12.A clock shows 5:19. What time will it show 20 minutes later? (a) 6:39 (b) 5:29 (c) 5:39 (d) 5:49
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 30 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 86 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  18. 18.A clock shows 4:31. What time will it show 107 minutes later? (a) 6:08 (b) 7:18 (c) 6:18 (d) 6:28
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  20. 20.A clock shows 2:38. What time will it show 74 minutes later? (a) 4:52 (b) 4:02 (c) 3:52 (d) 3:42
  21. 21.A clock shows 8:15. What time will it show 131 minutes later? (a) 10:16 (b) 10:36 (c) 10:26 (d) 11:26
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 101 minutes? =
  25. 25.A clock shows 10:41. What time will it show 112 minutes later? (a) 12:23 (b) 1:33 (c) 12:33 (d) 12:43
  26. 26.How many degrees does the minute hand of a clock turn in 20 minutes? =
  27. 27.A clock shows 7:58. What time will it show 24 minutes later? (a) 8:32 (b) 8:12 (c) 8:22 (d) 9:22
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  29. 29.A clock shows 4:21. What time will it show 98 minutes later? (a) 6:09 (b) 6:59 (c) 5:49 (d) 5:59
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 66 minutes? =
  32. 32.A clock shows 10:20. What time will it show 24 minutes later? (a) 10:34 (b) 10:44 (c) 10:54 (d) 11:44
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  34. 34.A clock shows 11:06. What time will it show 25 minutes later? (a) 11:21 (b) 11:41 (c) 11:31 (d) 12:31
  35. 35.How many degrees does the hour hand of a clock turn in 25 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 11 minutes? =
  37. 37.A clock shows 12:07. What time will it show 149 minutes later? (a) 3:36 (b) 2:26 (c) 2:36 (d) 2:46
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  40. 40.A clock shows 10:50. What time will it show 41 minutes later? (a) 11:21 (b) 12:31 (c) 11:41 (d) 11:31

Answer key

  1. 62.5
  2. 306
  3. 336
  4. 3:39
  5. 2:16
  6. 168
  7. 129
  8. 9:17
  9. 12:35
  10. 173.5
  11. 5:58
  12. 5:39
  13. 36
  14. 180
  15. 55
  16. 43
  17. 82
  18. 6:18
  19. 129.5
  20. 3:52
  21. 10:26
  22. 124.5
  23. 63
  24. 50.5
  25. 12:33
  26. 120
  27. 8:22
  28. 11.5
  29. 5:59
  30. 41.5
  31. 33
  32. 10:44
  33. 124
  34. 11:31
  35. 12.5
  36. 66
  37. 2:36
  38. 68
  39. 112
  40. 11:31

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