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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 997 · 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 9:22. What time will it show 128 minutes later? (a) 11:30 (b) 12:30 (c) 11:40 (d) 11:20
  2. 2.A clock shows 7:12. What time will it show 39 minutes later? (a) 8:51 (b) 8:01 (c) 7:41 (d) 7:51
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 46 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 167 minutes? =
  6. 6.A clock shows 7:55. What time will it show 91 minutes later? (a) 9:16 (b) 10:26 (c) 9:26 (d) 9:36
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  8. 8.A clock shows 7:16. What time will it show 155 minutes later? (a) 9:51 (b) 10:51 (c) 9:41 (d) 10:01
  9. 9.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  13. 13.A clock shows 10:14. What time will it show 40 minutes later? (a) 11:04 (b) 10:54 (c) 11:54 (d) 10:44
  14. 14.How many degrees does the minute hand of a clock turn in 17 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 138 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 12 minutes? =
  17. 17.A clock shows 4:32. What time will it show 85 minutes later? (a) 5:47 (b) 6:57 (c) 6:07 (d) 5:57
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  20. 20.A clock shows 6:48. What time will it show 65 minutes later? (a) 8:53 (b) 8:03 (c) 7:43 (d) 7:53
  21. 21.A clock shows 1:44. What time will it show 127 minutes later? (a) 4:51 (b) 3:41 (c) 3:51 (d) 4:01
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  25. 25.A clock shows 1:20. What time will it show 25 minutes later? (a) 1:45 (b) 1:55 (c) 2:45 (d) 1:35
  26. 26.How many degrees does the minute hand of a clock turn in 34 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 23 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 81 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 52 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 16 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  34. 34.A clock shows 11:07. What time will it show 97 minutes later? (a) 12:54 (b) 12:34 (c) 1:44 (d) 12:44
  35. 35.How many degrees does the hour hand of a clock turn in 59 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  38. 38.A clock shows 5:35. What time will it show 159 minutes later? (a) 8:04 (b) 8:24 (c) 9:14 (d) 8:14
  39. 39.A clock shows 12:05. What time will it show 130 minutes later? (a) 2:05 (b) 2:15 (c) 3:15 (d) 2:25
  40. 40.A clock shows 8:02. What time will it show 156 minutes later? (a) 10:48 (b) 10:28 (c) 11:38 (d) 10:38

Answer key

  1. 11:30
  2. 7:51
  3. 38
  4. 276
  5. 83.5
  6. 9:26
  7. 41.5
  8. 9:51
  9. 67.5
  10. 8
  11. 136.5
  12. 74.5
  13. 10:54
  14. 102
  15. 69
  16. 72
  17. 5:57
  18. 99.5
  19. 149.5
  20. 7:53
  21. 3:51
  22. 82.5
  23. 166
  24. 127
  25. 1:45
  26. 204
  27. 138
  28. 40.5
  29. 312
  30. 77
  31. 89
  32. 96
  33. 26.5
  34. 12:44
  35. 29.5
  36. 16
  37. 34
  38. 8:14
  39. 2:15
  40. 10:38

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