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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 704 · 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 1:08? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 10 minutes? =
  3. 3.A clock shows 9:00. What time will it show 168 minutes later? (a) 11:58 (b) 12:48 (c) 11:48 (d) 11:38
  4. 4.A clock shows 12:28. What time will it show 34 minutes later? (a) 2:02 (b) 12:52 (c) 1:12 (d) 1:02
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 48 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 51 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  9. 9.A clock shows 11:03. What time will it show 44 minutes later? (a) 12:47 (b) 11:37 (c) 11:47 (d) 11:57
  10. 10.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  11. 11.A clock shows 3:35. What time will it show 151 minutes later? (a) 6:16 (b) 6:06 (c) 7:06 (d) 5:56
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 18 minutes? =
  15. 15.A clock shows 9:57. What time will it show 154 minutes later? (a) 12:31 (b) 1:31 (c) 12:41 (d) 12:21
  16. 16.How many degrees does the minute hand of a clock turn in 12 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 6 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 42 minutes? =
  19. 19.A clock shows 3:05. What time will it show 87 minutes later? (a) 4:22 (b) 4:32 (c) 5:32 (d) 4:42
  20. 20.A clock shows 9:07. What time will it show 155 minutes later? (a) 11:32 (b) 12:42 (c) 11:52 (d) 11:42
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  22. 22.A clock shows 4:46. What time will it show 81 minutes later? (a) 6:17 (b) 7:07 (c) 6:07 (d) 5:57
  23. 23.How many degrees does the minute hand of a clock turn in 33 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 41 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
  27. 27.A clock shows 4:50. What time will it show 118 minutes later? (a) 7:48 (b) 6:38 (c) 6:58 (d) 6:48
  28. 28.How many degrees does the hour hand of a clock turn in 72 minutes? =
  29. 29.A clock shows 10:05. What time will it show 93 minutes later? (a) 11:28 (b) 11:38 (c) 12:38 (d) 11:48
  30. 30.A clock shows 1:55. What time will it show 39 minutes later? (a) 2:44 (b) 3:34 (c) 2:34 (d) 2:24
  31. 31.How many degrees does the minute hand of a clock turn in 14 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 51 minutes? =
  33. 33.A clock shows 12:00. What time will it show 84 minutes later? (a) 1:24 (b) 2:24 (c) 1:34 (d) 1:14
  34. 34.A clock shows 11:05. What time will it show 148 minutes later? (a) 1:43 (b) 2:33 (c) 1:23 (d) 1:33
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  36. 36.A clock shows 11:24. What time will it show 68 minutes later? (a) 12:22 (b) 12:42 (c) 12:32 (d) 1:32
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  39. 39.A clock shows 1:23. What time will it show 143 minutes later? (a) 3:46 (b) 3:36 (c) 4:46 (d) 3:56
  40. 40.How many degrees does the hour hand of a clock turn in 109 minutes? =

Answer key

  1. 14
  2. 60
  3. 11:48
  4. 1:02
  5. 57
  6. 288
  7. 306
  8. 50
  9. 11:47
  10. 127.5
  11. 6:06
  12. 100.5
  13. 65
  14. 108
  15. 12:31
  16. 72
  17. 36
  18. 252
  19. 4:32
  20. 11:42
  21. 152
  22. 6:07
  23. 198
  24. 18
  25. 246
  26. 170
  27. 6:48
  28. 36
  29. 11:38
  30. 2:34
  31. 84
  32. 25.5
  33. 1:24
  34. 1:33
  35. 107.5
  36. 12:32
  37. 21.5
  38. 139
  39. 3:46
  40. 54.5

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