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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 218 · 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.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 37 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  4. 4.A clock shows 8:40. What time will it show 45 minutes later? (a) 9:25 (b) 10:25 (c) 9:35 (d) 9:15
  5. 5.How many degrees does the hour hand of a clock turn in 53 minutes? =
  6. 6.A clock shows 6:00. What time will it show 120 minutes later? (a) 8:00 (b) 9:00 (c) 7:50 (d) 8:10
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  8. 8.A clock shows 4:36. What time will it show 76 minutes later? (a) 5:52 (b) 6:52 (c) 6:02 (d) 5:42
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 153 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 113 minutes? =
  12. 12.A clock shows 12:07. What time will it show 12 minutes later? (a) 12:09 (b) 12:19 (c) 1:19 (d) 12:29
  13. 13.How many degrees does the minute hand of a clock turn in 15 minutes? =
  14. 14.A clock shows 6:26. What time will it show 42 minutes later? (a) 8:08 (b) 6:58 (c) 7:18 (d) 7:08
  15. 15.A clock shows 9:45. What time will it show 151 minutes later? (a) 12:26 (b) 1:16 (c) 12:16 (d) 12:06
  16. 16.A clock shows 8:53. What time will it show 126 minutes later? (a) 11:09 (b) 10:49 (c) 10:59 (d) 11:59
  17. 17.A clock shows 12:59. What time will it show 121 minutes later? (a) 4:00 (b) 3:00 (c) 2:50 (d) 3:10
  18. 18.A clock shows 3:28. What time will it show 56 minutes later? (a) 5:24 (b) 4:34 (c) 4:14 (d) 4:24
  19. 19.A clock shows 2:16. What time will it show 55 minutes later? (a) 4:11 (b) 3:11 (c) 3:01 (d) 3:21
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  23. 23.A clock shows 3:35. What time will it show 106 minutes later? (a) 5:11 (b) 6:21 (c) 5:21 (d) 5:31
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 97 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 31 minutes? =
  28. 28.A clock shows 7:47. What time will it show 74 minutes later? (a) 9:11 (b) 10:01 (c) 8:51 (d) 9:01
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 25 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 23 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 12 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 14 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 162 minutes? =

Answer key

  1. 26.5
  2. 222
  3. 112.5
  4. 9:25
  5. 26.5
  6. 8:00
  7. 176
  8. 5:52
  9. 98.5
  10. 76.5
  11. 56.5
  12. 12:19
  13. 90
  14. 7:08
  15. 12:16
  16. 10:59
  17. 3:00
  18. 4:24
  19. 3:11
  20. 142
  21. 50.5
  22. 94.5
  23. 5:21
  24. 88
  25. 48.5
  26. 128.5
  27. 186
  28. 9:01
  29. 44.5
  30. 71
  31. 150
  32. 68
  33. 83.5
  34. 138
  35. 72
  36. 84
  37. 29.5
  38. 93
  39. 90
  40. 81

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