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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 256 · 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 7:06? (in degrees) =
  2. 2.A clock shows 12:28. What time will it show 12 minutes later? (a) 12:50 (b) 12:30 (c) 1:40 (d) 12:40
  3. 3.How many degrees does the minute hand of a clock turn in 58 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 165 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  7. 7.A clock shows 11:52. What time will it show 161 minutes later? (a) 2:43 (b) 2:23 (c) 3:33 (d) 2:33
  8. 8.A clock shows 3:01. What time will it show 149 minutes later? (a) 5:40 (b) 6:30 (c) 5:30 (d) 5:20
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  10. 10.A clock shows 12:01. What time will it show 34 minutes later? (a) 12:35 (b) 12:25 (c) 12:45 (d) 1:35
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:51? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 122 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  15. 15.A clock shows 9:59. What time will it show 49 minutes later? (a) 10:58 (b) 10:48 (c) 10:38 (d) 11:48
  16. 16.How many degrees does the hour hand of a clock turn in 157 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 62 minutes? =
  18. 18.A clock shows 1:42. What time will it show 151 minutes later? (a) 4:03 (b) 5:13 (c) 4:23 (d) 4:13
  19. 19.How many degrees does the minute hand of a clock turn in 23 minutes? =
  20. 20.A clock shows 8:08. What time will it show 65 minutes later? (a) 9:03 (b) 10:13 (c) 9:13 (d) 9:23
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  22. 22.A clock shows 9:46. What time will it show 70 minutes later? (a) 10:46 (b) 10:56 (c) 11:56 (d) 11:06
  23. 23.A clock shows 10:08. What time will it show 99 minutes later? (a) 11:47 (b) 12:47 (c) 11:57 (d) 11:37
  24. 24.How many degrees does the minute hand of a clock turn in 57 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 107 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 37 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 36 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  32. 32.A clock shows 4:04. What time will it show 23 minutes later? (a) 4:37 (b) 4:17 (c) 5:27 (d) 4:27
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 12 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 66 minutes? =
  37. 37.A clock shows 10:25. What time will it show 75 minutes later? (a) 11:40 (b) 12:40 (c) 11:50 (d) 11:30
  38. 38.How many degrees does the hour hand of a clock turn in 27 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 41 minutes? =
  40. 40.A clock shows 12:37. What time will it show 20 minutes later? (a) 1:57 (b) 1:07 (c) 12:57 (d) 12:47

Answer key

  1. 177
  2. 12:40
  3. 348
  4. 166
  5. 82.5
  6. 85.5
  7. 2:33
  8. 5:30
  9. 139
  10. 12:35
  11. 49.5
  12. 61
  13. 127
  14. 156.5
  15. 10:48
  16. 78.5
  17. 31
  18. 4:13
  19. 138
  20. 9:13
  21. 113.5
  22. 10:56
  23. 11:47
  24. 342
  25. 53.5
  26. 222
  27. 5
  28. 124
  29. 9.5
  30. 18
  31. 2.5
  32. 4:27
  33. 175
  34. 72
  35. 149.5
  36. 33
  37. 11:40
  38. 13.5
  39. 246
  40. 12:57

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