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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 77 · 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 1:39. What time will it show 44 minutes later? (a) 3:23 (b) 2:33 (c) 2:23 (d) 2:13
  2. 2.A clock shows 8:41. What time will it show 86 minutes later? (a) 10:07 (b) 9:57 (c) 11:07 (d) 10:17
  3. 3.How many degrees does the minute hand of a clock turn in 58 minutes? =
  4. 4.A clock shows 10:36. What time will it show 19 minutes later? (a) 10:45 (b) 11:05 (c) 11:55 (d) 10:55
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 172 minutes? =
  9. 9.A clock shows 3:25. What time will it show 81 minutes later? (a) 4:36 (b) 4:56 (c) 4:46 (d) 5:46
  10. 10.How many degrees does the hour hand of a clock turn in 96 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 70 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  13. 13.A clock shows 11:45. What time will it show 59 minutes later? (a) 1:44 (b) 12:34 (c) 12:54 (d) 12:44
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 41 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 38 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 101 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 119 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 170 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 59 minutes? =
  24. 24.A clock shows 11:54. What time will it show 66 minutes later? (a) 1:10 (b) 1:00 (c) 12:50 (d) 2:00
  25. 25.How many degrees does the hour hand of a clock turn in 62 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 20 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  28. 28.A clock shows 10:55. What time will it show 164 minutes later? (a) 2:39 (b) 1:49 (c) 1:29 (d) 1:39
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  30. 30.A clock shows 7:37. What time will it show 16 minutes later? (a) 8:53 (b) 8:03 (c) 7:53 (d) 7:43
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 36 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  37. 37.A clock shows 3:39. What time will it show 137 minutes later? (a) 6:06 (b) 5:56 (c) 5:46 (d) 6:56
  38. 38.How many degrees does the hour hand of a clock turn in 129 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =

Answer key

  1. 2:23
  2. 10:07
  3. 348
  4. 10:55
  5. 36
  6. 90.5
  7. 127.5
  8. 86
  9. 4:46
  10. 48
  11. 35
  12. 26.5
  13. 12:44
  14. 156.5
  15. 117.5
  16. 20.5
  17. 228
  18. 94
  19. 50.5
  20. 89
  21. 59.5
  22. 85
  23. 354
  24. 1:00
  25. 31
  26. 120
  27. 44.5
  28. 1:39
  29. 142
  30. 7:53
  31. 129
  32. 216
  33. 178
  34. 16.5
  35. 67
  36. 77.5
  37. 5:56
  38. 64.5
  39. 20.5
  40. 101

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