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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 648 · 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.A clock shows 9:33. What time will it show 124 minutes later? (a) 12:37 (b) 11:37 (c) 11:47 (d) 11:27
  2. 2.How many degrees does the minute hand of a clock turn in 17 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 13 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  5. 5.A clock shows 1:24. What time will it show 101 minutes later? (a) 2:55 (b) 4:05 (c) 3:15 (d) 3:05
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 50 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 33 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 32 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 24 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 88 minutes? =
  15. 15.A clock shows 8:21. What time will it show 88 minutes later? (a) 10:49 (b) 9:39 (c) 9:59 (d) 9:49
  16. 16.How many degrees does the hour hand of a clock turn in 136 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  19. 19.A clock shows 4:26. What time will it show 165 minutes later? (a) 7:01 (b) 7:11 (c) 7:21 (d) 8:11
  20. 20.How many degrees does the minute hand of a clock turn in 13 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 56 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  24. 24.A clock shows 1:55. What time will it show 148 minutes later? (a) 4:13 (b) 4:33 (c) 5:23 (d) 4:23
  25. 25.How many degrees does the hour hand of a clock turn in 172 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  27. 27.A clock shows 12:48. What time will it show 24 minutes later? (a) 1:02 (b) 2:12 (c) 1:22 (d) 1:12
  28. 28.A clock shows 5:08. What time will it show 114 minutes later? (a) 7:02 (b) 7:12 (c) 6:52 (d) 8:02
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 14 minutes? =
  31. 31.A clock shows 2:44. What time will it show 84 minutes later? (a) 5:08 (b) 4:18 (c) 4:08 (d) 3:58
  32. 32.A clock shows 12:48. What time will it show 11 minutes later? (a) 12:59 (b) 1:09 (c) 12:49 (d) 1:59
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  34. 34.A clock shows 8:15. What time will it show 113 minutes later? (a) 10:08 (b) 9:58 (c) 10:18 (d) 11:08
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 18 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 18 minutes? =
  39. 39.A clock shows 11:17. What time will it show 141 minutes later? (a) 2:38 (b) 1:48 (c) 1:28 (d) 1:38
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =

Answer key

  1. 11:37
  2. 102
  3. 6.5
  4. 59
  5. 3:05
  6. 19
  7. 300
  8. 57.5
  9. 198
  10. 192
  11. 25.5
  12. 144
  13. 7.5
  14. 44
  15. 9:49
  16. 68
  17. 55
  18. 163.5
  19. 7:11
  20. 78
  21. 28
  22. 107.5
  23. 154
  24. 4:23
  25. 86
  26. 41.5
  27. 1:12
  28. 7:02
  29. 159
  30. 7
  31. 4:08
  32. 12:59
  33. 40.5
  34. 10:08
  35. 75.5
  36. 108
  37. 64
  38. 9
  39. 1:38
  40. 38

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