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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 38 · 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 10:27. What time will it show 110 minutes later? (a) 12:17 (b) 1:17 (c) 12:27 (d) 12:07
  2. 2.A clock shows 12:59. What time will it show 52 minutes later? (a) 2:51 (b) 1:51 (c) 1:41 (d) 2:01
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 46 minutes? =
  5. 5.A clock shows 5:27. What time will it show 147 minutes later? (a) 8:04 (b) 7:44 (c) 8:54 (d) 7:54
  6. 6.How many degrees does the hour hand of a clock turn in 52 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  10. 10.A clock shows 7:08. What time will it show 16 minutes later? (a) 8:24 (b) 7:24 (c) 7:34 (d) 7:14
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  13. 13.A clock shows 4:06. What time will it show 29 minutes later? (a) 5:35 (b) 4:25 (c) 4:35 (d) 4:45
  14. 14.How many degrees does the hour hand of a clock turn in 22 minutes? =
  15. 15.A clock shows 11:08. What time will it show 135 minutes later? (a) 1:33 (b) 2:23 (c) 1:23 (d) 1:13
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  17. 17.A clock shows 5:00. What time will it show 129 minutes later? (a) 7:19 (b) 8:09 (c) 6:59 (d) 7:09
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:32? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 6 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 17 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 102 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 24 minutes? =
  25. 25.A clock shows 9:33. What time will it show 125 minutes later? (a) 12:38 (b) 11:48 (c) 11:28 (d) 11:38
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  27. 27.A clock shows 6:58. What time will it show 66 minutes later? (a) 8:14 (b) 9:04 (c) 7:54 (d) 8:04
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  29. 29.A clock shows 4:27. What time will it show 27 minutes later? (a) 5:04 (b) 5:54 (c) 4:54 (d) 4:44
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 43 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 48 minutes? =
  34. 34.A clock shows 12:03. What time will it show 43 minutes later? (a) 12:36 (b) 12:46 (c) 12:56 (d) 1:46
  35. 35.A clock shows 1:04. What time will it show 24 minutes later? (a) 1:38 (b) 2:28 (c) 1:28 (d) 1:18
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  40. 40.A clock shows 7:45. What time will it show 64 minutes later? (a) 8:59 (b) 8:49 (c) 8:39 (d) 9:49

Answer key

  1. 12:17
  2. 1:51
  3. 28
  4. 23
  5. 7:54
  6. 26
  7. 29
  8. 120.5
  9. 19.5
  10. 7:24
  11. 51
  12. 52.5
  13. 4:35
  14. 11
  15. 1:23
  16. 13.5
  17. 7:09
  18. 124
  19. 168
  20. 36
  21. 72
  22. 8.5
  23. 51
  24. 12
  25. 11:38
  26. 49
  27. 8:04
  28. 125.5
  29. 4:54
  30. 32.5
  31. 258
  32. 179.5
  33. 288
  34. 12:46
  35. 1:28
  36. 34.5
  37. 56.5
  38. 58.5
  39. 87
  40. 8:49

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