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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 930 · 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 6:54. What time will it show 29 minutes later? (a) 7:33 (b) 7:23 (c) 7:13 (d) 8:23
  2. 2.How many degrees does the hour hand of a clock turn in 139 minutes? =
  3. 3.A clock shows 12:53. What time will it show 14 minutes later? (a) 12:57 (b) 1:07 (c) 1:17 (d) 2:07
  4. 4.A clock shows 11:26. What time will it show 117 minutes later? (a) 2:23 (b) 1:23 (c) 1:33 (d) 1:13
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  6. 6.A clock shows 3:31. What time will it show 54 minutes later? (a) 4:35 (b) 5:25 (c) 4:15 (d) 4:25
  7. 7.A clock shows 3:05. What time will it show 67 minutes later? (a) 4:02 (b) 4:22 (c) 4:12 (d) 5:12
  8. 8.How many degrees does the hour hand of a clock turn in 86 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 58 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
  13. 13.A clock shows 6:16. What time will it show 132 minutes later? (a) 8:38 (b) 8:18 (c) 8:28 (d) 9:28
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 66 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 127 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 47 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 52 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 45 minutes? =
  22. 22.A clock shows 1:25. What time will it show 11 minutes later? (a) 1:46 (b) 2:36 (c) 1:36 (d) 1:26
  23. 23.A clock shows 7:12. What time will it show 154 minutes later? (a) 9:56 (b) 10:46 (c) 9:46 (d) 9:36
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 160 minutes? =
  27. 27.A clock shows 7:12. What time will it show 110 minutes later? (a) 8:52 (b) 9:02 (c) 10:02 (d) 9:12
  28. 28.How many degrees does the hour hand of a clock turn in 72 minutes? =
  29. 29.A clock shows 4:29. What time will it show 26 minutes later? (a) 5:55 (b) 5:05 (c) 4:45 (d) 4:55
  30. 30.A clock shows 6:14. What time will it show 49 minutes later? (a) 6:53 (b) 8:03 (c) 7:03 (d) 7:13
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 83 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 16 minutes? =
  34. 34.A clock shows 6:07. What time will it show 107 minutes later? (a) 7:44 (b) 8:54 (c) 8:04 (d) 7:54
  35. 35.A clock shows 6:01. What time will it show 19 minutes later? (a) 6:30 (b) 7:20 (c) 6:10 (d) 6:20
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  37. 37.A clock shows 8:39. What time will it show 14 minutes later? (a) 9:03 (b) 9:53 (c) 8:53 (d) 8:43
  38. 38.A clock shows 11:31. What time will it show 94 minutes later? (a) 1:15 (b) 2:05 (c) 12:55 (d) 1:05
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =

Answer key

  1. 7:23
  2. 69.5
  3. 1:07
  4. 1:23
  5. 3.5
  6. 4:25
  7. 4:12
  8. 43
  9. 348
  10. 36.5
  11. 61.5
  12. 11
  13. 8:28
  14. 158.5
  15. 33
  16. 63.5
  17. 0.5
  18. 48
  19. 282
  20. 312
  21. 270
  22. 1:36
  23. 9:46
  24. 121
  25. 173.5
  26. 80
  27. 9:02
  28. 36
  29. 4:55
  30. 7:03
  31. 54.5
  32. 41.5
  33. 96
  34. 7:54
  35. 6:20
  36. 178.5
  37. 8:53
  38. 1:05
  39. 88.5
  40. 41

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