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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 575 · 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 3:32? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  3. 3.A clock shows 10:31. What time will it show 46 minutes later? (a) 12:17 (b) 11:17 (c) 11:27 (d) 11:07
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  6. 6.A clock shows 12:08. What time will it show 54 minutes later? (a) 2:02 (b) 1:12 (c) 1:02 (d) 12:52
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 145 minutes? =
  10. 10.A clock shows 3:26. What time will it show 128 minutes later? (a) 6:34 (b) 5:24 (c) 5:44 (d) 5:34
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  13. 13.A clock shows 2:46. What time will it show 100 minutes later? (a) 4:26 (b) 4:36 (c) 4:16 (d) 5:26
  14. 14.How many degrees does the hour hand of a clock turn in 38 minutes? =
  15. 15.A clock shows 5:53. What time will it show 137 minutes later? (a) 8:20 (b) 8:10 (c) 8:00 (d) 9:10
  16. 16.A clock shows 1:46. What time will it show 28 minutes later? (a) 2:24 (b) 2:04 (c) 2:14 (d) 3:14
  17. 17.A clock shows 9:46. What time will it show 128 minutes later? (a) 11:54 (b) 12:54 (c) 12:04 (d) 11:44
  18. 18.A clock shows 6:54. What time will it show 67 minutes later? (a) 8:11 (b) 8:01 (c) 9:01 (d) 7:51
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  20. 20.A clock shows 8:56. What time will it show 17 minutes later? (a) 9:13 (b) 10:13 (c) 9:03 (d) 9:23
  21. 21.How many degrees does the hour hand of a clock turn in 74 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  23. 23.A clock shows 7:26. What time will it show 31 minutes later? (a) 7:47 (b) 8:57 (c) 8:07 (d) 7:57
  24. 24.How many degrees does the minute hand of a clock turn in 10 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 17 minutes? =
  29. 29.A clock shows 3:33. What time will it show 109 minutes later? (a) 6:22 (b) 5:22 (c) 5:32 (d) 5:12
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
  31. 31.A clock shows 3:32. What time will it show 152 minutes later? (a) 6:04 (b) 6:14 (c) 5:54 (d) 7:04
  32. 32.A clock shows 11:28. What time will it show 100 minutes later? (a) 1:08 (b) 1:18 (c) 12:58 (d) 2:08
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 161 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 27 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  40. 40.A clock shows 5:58. What time will it show 166 minutes later? (a) 8:34 (b) 8:54 (c) 8:44 (d) 9:44

Answer key

  1. 86
  2. 151
  3. 11:17
  4. 29
  5. 74
  6. 1:02
  7. 111.5
  8. 163.5
  9. 72.5
  10. 5:34
  11. 17.5
  12. 126
  13. 4:26
  14. 19
  15. 8:10
  16. 2:14
  17. 11:54
  18. 8:01
  19. 47
  20. 9:13
  21. 37
  22. 28.5
  23. 7:57
  24. 60
  25. 85.5
  26. 8
  27. 128.5
  28. 102
  29. 5:22
  30. 171
  31. 6:04
  32. 1:08
  33. 44.5
  34. 96.5
  35. 108.5
  36. 80.5
  37. 175
  38. 13.5
  39. 65.5
  40. 8:44

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