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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 472 · 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 2:01. What time will it show 135 minutes later? (a) 4:26 (b) 5:16 (c) 4:06 (d) 4:16
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 127 minutes? =
  6. 6.A clock shows 8:17. What time will it show 11 minutes later? (a) 8:38 (b) 8:18 (c) 9:28 (d) 8:28
  7. 7.How many degrees does the hour hand of a clock turn in 82 minutes? =
  8. 8.A clock shows 6:31. What time will it show 12 minutes later? (a) 7:43 (b) 6:33 (c) 6:43 (d) 6:53
  9. 9.How many degrees does the minute hand of a clock turn in 45 minutes? =
  10. 10.A clock shows 2:12. What time will it show 161 minutes later? (a) 5:03 (b) 5:53 (c) 4:43 (d) 4:53
  11. 11.A clock shows 6:45. What time will it show 19 minutes later? (a) 8:04 (b) 6:54 (c) 7:04 (d) 7:14
  12. 12.How many degrees does the minute hand of a clock turn in 20 minutes? =
  13. 13.A clock shows 12:39. What time will it show 86 minutes later? (a) 3:05 (b) 1:55 (c) 2:05 (d) 2:15
  14. 14.A clock shows 9:54. What time will it show 131 minutes later? (a) 12:15 (b) 12:05 (c) 1:05 (d) 11:55
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  16. 16.A clock shows 7:50. What time will it show 132 minutes later? (a) 10:12 (b) 11:02 (c) 9:52 (d) 10:02
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 17 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 9 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  23. 23.A clock shows 7:38. What time will it show 59 minutes later? (a) 8:27 (b) 8:37 (c) 8:47 (d) 9:37
  24. 24.A clock shows 3:08. What time will it show 99 minutes later? (a) 4:37 (b) 4:57 (c) 5:47 (d) 4:47
  25. 25.How many degrees does the minute hand of a clock turn in 52 minutes? =
  26. 26.A clock shows 3:30. What time will it show 135 minutes later? (a) 6:45 (b) 5:55 (c) 5:45 (d) 5:35
  27. 27.How many degrees does the minute hand of a clock turn in 56 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 110 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:26? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 2 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =

Answer key

  1. 4:16
  2. 100.5
  3. 5
  4. 5.5
  5. 63.5
  6. 8:28
  7. 41
  8. 6:43
  9. 270
  10. 4:53
  11. 7:04
  12. 120
  13. 2:05
  14. 12:05
  15. 160
  16. 10:02
  17. 6.5
  18. 141.5
  19. 8.5
  20. 54
  21. 28
  22. 149.5
  23. 8:37
  24. 4:47
  25. 312
  26. 5:45
  27. 336
  28. 155.5
  29. 97
  30. 167.5
  31. 140
  32. 55
  33. 175
  34. 132
  35. 157
  36. 72
  37. 12
  38. 45.5
  39. 198
  40. 44

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