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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 577 · 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 3:57. What time will it show 114 minutes later? (a) 5:41 (b) 6:01 (c) 5:51 (d) 6:51
  2. 2.How many degrees does the hour hand of a clock turn in 48 minutes? =
  3. 3.A clock shows 2:06. What time will it show 61 minutes later? (a) 2:57 (b) 3:07 (c) 3:17 (d) 4:07
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  6. 6.A clock shows 2:01. What time will it show 97 minutes later? (a) 3:38 (b) 4:38 (c) 3:28 (d) 3:48
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  8. 8.A clock shows 8:05. What time will it show 23 minutes later? (a) 9:28 (b) 8:28 (c) 8:18 (d) 8:38
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  11. 11.A clock shows 3:35. What time will it show 88 minutes later? (a) 6:03 (b) 5:13 (c) 4:53 (d) 5:03
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  13. 13.A clock shows 8:49. What time will it show 166 minutes later? (a) 11:25 (b) 11:45 (c) 11:35 (d) 12:35
  14. 14.A clock shows 8:56. What time will it show 24 minutes later? (a) 9:30 (b) 9:20 (c) 10:20 (d) 9:10
  15. 15.How many degrees does the minute hand of a clock turn in 17 minutes? =
  16. 16.A clock shows 2:58. What time will it show 118 minutes later? (a) 4:46 (b) 4:56 (c) 5:56 (d) 5:06
  17. 17.A clock shows 3:44. What time will it show 69 minutes later? (a) 4:53 (b) 5:53 (c) 5:03 (d) 4:43
  18. 18.A clock shows 8:38. What time will it show 126 minutes later? (a) 10:34 (b) 10:54 (c) 11:44 (d) 10:44
  19. 19.How many degrees does the minute hand of a clock turn in 18 minutes? =
  20. 20.A clock shows 12:46. What time will it show 28 minutes later? (a) 2:14 (b) 1:24 (c) 1:04 (d) 1:14
  21. 21.A clock shows 2:46. What time will it show 64 minutes later? (a) 3:40 (b) 4:50 (c) 3:50 (d) 4:00
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  24. 24.A clock shows 9:16. What time will it show 21 minutes later? (a) 9:37 (b) 9:27 (c) 9:47 (d) 10:37
  25. 25.A clock shows 8:30. What time will it show 98 minutes later? (a) 10:08 (b) 11:08 (c) 9:58 (d) 10:18
  26. 26.How many degrees does the minute hand of a clock turn in 40 minutes? =
  27. 27.A clock shows 9:14. What time will it show 46 minutes later? (a) 9:50 (b) 10:00 (c) 11:00 (d) 10:10
  28. 28.How many degrees does the hour hand of a clock turn in 18 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 12 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 49 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
  32. 32.A clock shows 1:02. What time will it show 30 minutes later? (a) 1:22 (b) 2:32 (c) 1:32 (d) 1:42
  33. 33.How many degrees does the hour hand of a clock turn in 31 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 9:20? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 33 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 179 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =

Answer key

  1. 5:51
  2. 24
  3. 3:07
  4. 135
  5. 176.5
  6. 3:38
  7. 63.5
  8. 8:28
  9. 117
  10. 35
  11. 5:03
  12. 5
  13. 11:35
  14. 9:20
  15. 102
  16. 4:56
  17. 4:53
  18. 10:44
  19. 108
  20. 1:14
  21. 3:50
  22. 52.5
  23. 24.5
  24. 9:37
  25. 10:08
  26. 240
  27. 10:00
  28. 9
  29. 72
  30. 24.5
  31. 222
  32. 1:32
  33. 15.5
  34. 31
  35. 160
  36. 112.5
  37. 198
  38. 89.5
  39. 23
  40. 100

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