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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 322 · 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 1:30. What time will it show 157 minutes later? (a) 3:57 (b) 5:07 (c) 4:17 (d) 4:07
  2. 2.A clock shows 7:14. What time will it show 165 minutes later? (a) 10:09 (b) 10:59 (c) 9:59 (d) 9:49
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 13 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 12 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 15 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 69 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  14. 14.A clock shows 11:14. What time will it show 19 minutes later? (a) 11:23 (b) 12:33 (c) 11:33 (d) 11:43
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
  16. 16.A clock shows 7:54. What time will it show 41 minutes later? (a) 8:35 (b) 8:45 (c) 8:25 (d) 9:35
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  19. 19.A clock shows 2:27. What time will it show 108 minutes later? (a) 5:15 (b) 4:05 (c) 4:25 (d) 4:15
  20. 20.A clock shows 11:37. What time will it show 161 minutes later? (a) 2:28 (b) 2:08 (c) 3:18 (d) 2:18
  21. 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
  22. 22.A clock shows 4:02. What time will it show 128 minutes later? (a) 6:00 (b) 7:10 (c) 6:10 (d) 6:20
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  24. 24.A clock shows 8:30. What time will it show 99 minutes later? (a) 10:19 (b) 9:59 (c) 10:09 (d) 11:09
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  26. 26.A clock shows 3:34. What time will it show 15 minutes later? (a) 4:49 (b) 3:59 (c) 3:49 (d) 3:39
  27. 27.A clock shows 3:12. What time will it show 29 minutes later? (a) 3:31 (b) 3:51 (c) 4:41 (d) 3:41
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 95 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 106 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 68 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 13 minutes? =
  34. 34.A clock shows 12:19. What time will it show 139 minutes later? (a) 3:38 (b) 2:48 (c) 2:28 (d) 2:38
  35. 35.How many degrees does the hour hand of a clock turn in 63 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 43 minutes? =
  38. 38.A clock shows 3:01. What time will it show 96 minutes later? (a) 4:47 (b) 4:27 (c) 4:37 (d) 5:37
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  40. 40.A clock shows 3:15. What time will it show 159 minutes later? (a) 6:04 (b) 5:54 (c) 5:44 (d) 6:54

Answer key

  1. 4:07
  2. 9:59
  3. 114.5
  4. 90
  5. 6.5
  6. 22
  7. 72
  8. 90
  9. 12
  10. 29
  11. 34.5
  12. 160.5
  13. 66.5
  14. 11:33
  15. 104.5
  16. 8:35
  17. 90.5
  18. 17.5
  19. 4:15
  20. 2:18
  21. 312
  22. 6:10
  23. 2
  24. 10:09
  25. 77
  26. 3:49
  27. 3:41
  28. 68
  29. 47.5
  30. 53
  31. 34
  32. 32
  33. 78
  34. 2:38
  35. 31.5
  36. 91.5
  37. 258
  38. 4:37
  39. 121.5
  40. 5:54

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