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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 6 · 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 7:05. What time will it show 139 minutes later? (a) 10:24 (b) 9:14 (c) 9:34 (d) 9:24
  2. 2.A clock shows 8:10. What time will it show 137 minutes later? (a) 10:37 (b) 10:27 (c) 10:17 (d) 11:27
  3. 3.How many degrees does the minute hand of a clock turn in 48 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 128 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 36 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
  10. 10.A clock shows 10:18. What time will it show 131 minutes later? (a) 1:29 (b) 12:39 (c) 12:19 (d) 12:29
  11. 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
  12. 12.A clock shows 4:32. What time will it show 71 minutes later? (a) 5:33 (b) 6:43 (c) 5:53 (d) 5:43
  13. 13.How many degrees does the hour hand of a clock turn in 150 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  16. 16.A clock shows 11:02. What time will it show 103 minutes later? (a) 1:45 (b) 12:45 (c) 12:35 (d) 12:55
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 27 minutes? =
  19. 19.A clock shows 9:12. What time will it show 42 minutes later? (a) 9:44 (b) 9:54 (c) 10:54 (d) 10:04
  20. 20.A clock shows 7:26. What time will it show 86 minutes later? (a) 9:52 (b) 9:02 (c) 8:42 (d) 8:52
  21. 21.How many degrees does the minute hand of a clock turn in 55 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 6 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 123 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 74 minutes? =
  26. 26.A clock shows 1:11. What time will it show 165 minutes later? (a) 4:56 (b) 3:46 (c) 3:56 (d) 4:06
  27. 27.A clock shows 3:53. What time will it show 16 minutes later? (a) 5:09 (b) 4:19 (c) 4:09 (d) 3:59
  28. 28.A clock shows 7:23. What time will it show 23 minutes later? (a) 7:56 (b) 7:36 (c) 7:46 (d) 8:46
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 49 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 15 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  33. 33.A clock shows 9:11. What time will it show 93 minutes later? (a) 11:44 (b) 10:34 (c) 10:44 (d) 10:54
  34. 34.A clock shows 1:53. What time will it show 113 minutes later? (a) 3:36 (b) 4:46 (c) 3:56 (d) 3:46
  35. 35.How many degrees does the hour hand of a clock turn in 95 minutes? =
  36. 36.A clock shows 11:35. What time will it show 102 minutes later? (a) 1:07 (b) 1:27 (c) 1:17 (d) 2:17
  37. 37.How many degrees does the hour hand of a clock turn in 110 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 30 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  40. 40.A clock shows 2:45. What time will it show 84 minutes later? (a) 3:59 (b) 4:09 (c) 4:19 (d) 5:09

Answer key

  1. 9:24
  2. 10:27
  3. 288
  4. 64
  5. 71
  6. 138
  7. 64
  8. 216
  9. 154.5
  10. 12:29
  11. 258
  12. 5:43
  13. 75
  14. 113
  15. 173
  16. 12:45
  17. 120
  18. 13.5
  19. 9:54
  20. 8:52
  21. 330
  22. 36
  23. 91
  24. 61.5
  25. 37
  26. 3:56
  27. 4:09
  28. 7:46
  29. 136.5
  30. 294
  31. 90
  32. 8.5
  33. 10:44
  34. 3:46
  35. 47.5
  36. 1:17
  37. 55
  38. 180
  39. 87.5
  40. 4:09

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