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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 453 · 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 1:04. What time will it show 170 minutes later? (a) 3:44 (b) 4:54 (c) 3:54 (d) 4:04
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 19 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 12 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 37 minutes? =
  8. 8.A clock shows 9:27. What time will it show 43 minutes later? (a) 11:10 (b) 10:10 (c) 10:20 (d) 10:00
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  10. 10.A clock shows 11:22. What time will it show 54 minutes later? (a) 12:06 (b) 12:16 (c) 12:26 (d) 1:16
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 43 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
  16. 16.A clock shows 6:37. What time will it show 147 minutes later? (a) 9:04 (b) 8:54 (c) 9:14 (d) 10:04
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  18. 18.A clock shows 11:23. What time will it show 114 minutes later? (a) 1:07 (b) 1:17 (c) 1:27 (d) 2:17
  19. 19.How many degrees does the hour hand of a clock turn in 51 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 143 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 171 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:29? (in degrees) =
  29. 29.A clock shows 4:02. What time will it show 76 minutes later? (a) 5:18 (b) 5:28 (c) 5:08 (d) 6:18
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 70 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 33 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
  35. 35.A clock shows 2:27. What time will it show 79 minutes later? (a) 3:56 (b) 3:36 (c) 4:46 (d) 3:46
  36. 36.A clock shows 10:31. What time will it show 108 minutes later? (a) 1:19 (b) 12:19 (c) 12:09 (d) 12:29
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  39. 39.A clock shows 3:00. What time will it show 79 minutes later? (a) 4:09 (b) 4:29 (c) 5:19 (d) 4:19
  40. 40.A clock shows 10:49. What time will it show 128 minutes later? (a) 1:57 (b) 12:47 (c) 1:07 (d) 12:57

Answer key

  1. 3:54
  2. 144.5
  3. 144
  4. 9.5
  5. 6
  6. 61.5
  7. 222
  8. 10:10
  9. 91
  10. 12:16
  11. 76
  12. 41
  13. 90
  14. 258
  15. 92
  16. 9:04
  17. 168.5
  18. 1:17
  19. 25.5
  20. 136.5
  21. 2.5
  22. 5
  23. 0.5
  24. 130.5
  25. 71.5
  26. 85.5
  27. 72
  28. 20.5
  29. 5:18
  30. 87
  31. 35
  32. 147
  33. 198
  34. 18
  35. 3:46
  36. 12:19
  37. 111.5
  38. 69.5
  39. 4:19
  40. 12:57

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