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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 398 · 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 12 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  3. 3.A clock shows 2:40. What time will it show 166 minutes later? (a) 5:36 (b) 5:26 (c) 6:26 (d) 5:16
  4. 4.How many degrees does the minute hand of a clock turn in 32 minutes? =
  5. 5.A clock shows 12:21. What time will it show 145 minutes later? (a) 3:46 (b) 2:46 (c) 2:36 (d) 2:56
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  7. 7.A clock shows 3:38. What time will it show 121 minutes later? (a) 5:39 (b) 6:39 (c) 5:49 (d) 5:29
  8. 8.A clock shows 3:50. What time will it show 165 minutes later? (a) 7:35 (b) 6:35 (c) 6:25 (d) 6:45
  9. 9.How many degrees does the hour hand of a clock turn in 27 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 107 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 114 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  15. 15.A clock shows 1:10. What time will it show 13 minutes later? (a) 1:23 (b) 1:13 (c) 1:33 (d) 2:23
  16. 16.A clock shows 10:49. What time will it show 160 minutes later? (a) 1:29 (b) 1:19 (c) 1:39 (d) 2:29
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 16 minutes? =
  19. 19.A clock shows 3:06. What time will it show 37 minutes later? (a) 4:43 (b) 3:33 (c) 3:53 (d) 3:43
  20. 20.How many degrees does the hour hand of a clock turn in 63 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 141 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  25. 25.A clock shows 7:24. What time will it show 41 minutes later? (a) 8:05 (b) 8:15 (c) 7:55 (d) 9:05
  26. 26.A clock shows 8:42. What time will it show 27 minutes later? (a) 9:19 (b) 10:09 (c) 9:09 (d) 8:59
  27. 27.How many degrees does the minute hand of a clock turn in 33 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  31. 31.A clock shows 7:54. What time will it show 165 minutes later? (a) 10:29 (b) 10:39 (c) 11:39 (d) 10:49
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  35. 35.A clock shows 1:15. What time will it show 82 minutes later? (a) 2:27 (b) 3:37 (c) 2:37 (d) 2:47
  36. 36.How many degrees does the hour hand of a clock turn in 37 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 37 minutes? =
  39. 39.A clock shows 6:54. What time will it show 43 minutes later? (a) 7:27 (b) 8:37 (c) 7:47 (d) 7:37
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =

Answer key

  1. 72
  2. 113.5
  3. 5:26
  4. 192
  5. 2:46
  6. 40
  7. 5:39
  8. 6:35
  9. 13.5
  10. 53
  11. 18
  12. 53.5
  13. 57
  14. 2
  15. 1:23
  16. 1:29
  17. 11.5
  18. 96
  19. 3:43
  20. 31.5
  21. 59
  22. 70.5
  23. 172
  24. 160
  25. 8:05
  26. 9:09
  27. 198
  28. 66
  29. 88.5
  30. 167
  31. 10:39
  32. 18.5
  33. 142.5
  34. 106.5
  35. 2:37
  36. 18.5
  37. 16
  38. 222
  39. 7:37
  40. 105

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