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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 250 · 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 hour hand of a clock turn in 134 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 39 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 52 minutes? =
  7. 7.A clock shows 11:39. What time will it show 139 minutes later? (a) 1:48 (b) 1:58 (c) 2:08 (d) 2:58
  8. 8.How many degrees does the hour hand of a clock turn in 22 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 26 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 116 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 65 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  13. 13.A clock shows 4:30. What time will it show 51 minutes later? (a) 5:11 (b) 5:21 (c) 6:21 (d) 5:31
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  15. 15.A clock shows 2:01. What time will it show 36 minutes later? (a) 3:37 (b) 2:27 (c) 2:37 (d) 2:47
  16. 16.A clock shows 12:19. What time will it show 77 minutes later? (a) 1:26 (b) 1:46 (c) 1:36 (d) 2:36
  17. 17.A clock shows 1:14. What time will it show 84 minutes later? (a) 3:38 (b) 2:28 (c) 2:38 (d) 2:48
  18. 18.How many degrees does the hour hand of a clock turn in 133 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 41 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 19 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 52 minutes? =
  23. 23.A clock shows 3:48. What time will it show 155 minutes later? (a) 6:13 (b) 7:23 (c) 6:33 (d) 6:23
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  25. 25.A clock shows 9:36. What time will it show 114 minutes later? (a) 11:30 (b) 11:40 (c) 11:20 (d) 12:30
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 9 minutes? =
  28. 28.A clock shows 8:11. What time will it show 166 minutes later? (a) 10:57 (b) 11:07 (c) 11:57 (d) 10:47
  29. 29.A clock shows 10:55. What time will it show 31 minutes later? (a) 11:26 (b) 12:26 (c) 11:36 (d) 11:16
  30. 30.A clock shows 5:34. What time will it show 155 minutes later? (a) 7:59 (b) 8:09 (c) 8:19 (d) 9:09
  31. 31.How many degrees does the hour hand of a clock turn in 50 minutes? =
  32. 32.A clock shows 4:21. What time will it show 109 minutes later? (a) 6:00 (b) 7:10 (c) 6:20 (d) 6:10
  33. 33.How many degrees does the minute hand of a clock turn in 43 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  35. 35.A clock shows 6:33. What time will it show 130 minutes later? (a) 8:43 (b) 8:53 (c) 9:43 (d) 8:33
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  37. 37.A clock shows 3:05. What time will it show 103 minutes later? (a) 5:48 (b) 4:48 (c) 4:58 (d) 4:38
  38. 38.How many degrees does the minute hand of a clock turn in 30 minutes? =
  39. 39.A clock shows 2:33. What time will it show 167 minutes later? (a) 6:20 (b) 5:20 (c) 5:30 (d) 5:10
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =

Answer key

  1. 67
  2. 141
  3. 50.5
  4. 151
  5. 19.5
  6. 312
  7. 1:58
  8. 11
  9. 156
  10. 58
  11. 32.5
  12. 44
  13. 5:21
  14. 8
  15. 2:37
  16. 1:36
  17. 2:38
  18. 66.5
  19. 99
  20. 20.5
  21. 114
  22. 26
  23. 6:23
  24. 50
  25. 11:30
  26. 146.5
  27. 54
  28. 10:57
  29. 11:26
  30. 8:09
  31. 25
  32. 6:10
  33. 258
  34. 21
  35. 8:43
  36. 37
  37. 4:48
  38. 180
  39. 5:20
  40. 155.5

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