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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 85 · 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 9:18. What time will it show 117 minutes later? (a) 11:15 (b) 12:15 (c) 11:25 (d) 11:05
  2. 2.A clock shows 7:24. What time will it show 80 minutes later? (a) 8:34 (b) 8:54 (c) 9:44 (d) 8:44
  3. 3.A clock shows 7:57. What time will it show 162 minutes later? (a) 10:39 (b) 10:29 (c) 10:49 (d) 11:39
  4. 4.A clock shows 4:38. What time will it show 139 minutes later? (a) 7:57 (b) 6:47 (c) 7:07 (d) 6:57
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 174 minutes? =
  11. 11.A clock shows 10:08. What time will it show 167 minutes later? (a) 1:05 (b) 12:45 (c) 1:55 (d) 12:55
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 39 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 69 minutes? =
  16. 16.A clock shows 3:41. What time will it show 75 minutes later? (a) 4:46 (b) 5:56 (c) 4:56 (d) 5:06
  17. 17.How many degrees does the hour hand of a clock turn in 107 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 19 minutes? =
  20. 20.A clock shows 1:18. What time will it show 85 minutes later? (a) 2:53 (b) 2:43 (c) 3:43 (d) 2:33
  21. 21.A clock shows 12:30. What time will it show 57 minutes later? (a) 1:37 (b) 2:27 (c) 1:17 (d) 1:27
  22. 22.A clock shows 12:17. What time will it show 61 minutes later? (a) 1:18 (b) 2:18 (c) 1:28 (d) 1:08
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 117 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 28 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 55 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 35 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 52 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  32. 32.A clock shows 8:00. What time will it show 20 minutes later? (a) 8:30 (b) 8:10 (c) 9:20 (d) 8:20
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  36. 36.A clock shows 11:39. What time will it show 107 minutes later? (a) 1:36 (b) 1:26 (c) 2:26 (d) 1:16
  37. 37.How many degrees does the minute hand of a clock turn in 43 minutes? =
  38. 38.A clock shows 9:07. What time will it show 84 minutes later? (a) 10:31 (b) 10:21 (c) 10:41 (d) 11:31
  39. 39.A clock shows 11:03. What time will it show 55 minutes later? (a) 12:58 (b) 11:58 (c) 11:48 (d) 12:08
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =

Answer key

  1. 11:15
  2. 8:44
  3. 10:39
  4. 6:57
  5. 68.5
  6. 46.5
  7. 50
  8. 88
  9. 2.5
  10. 87
  11. 12:55
  12. 82
  13. 119
  14. 234
  15. 34.5
  16. 4:56
  17. 53.5
  18. 98
  19. 9.5
  20. 2:43
  21. 1:27
  22. 1:18
  23. 3.5
  24. 82
  25. 58.5
  26. 168
  27. 31.5
  28. 330
  29. 17.5
  30. 312
  31. 8.5
  32. 8:20
  33. 90.5
  34. 47
  35. 2.5
  36. 1:26
  37. 258
  38. 10:31
  39. 11:58
  40. 176.5

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