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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 325 · 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 7:02? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  3. 3.A clock shows 1:21. What time will it show 92 minutes later? (a) 2:43 (b) 3:03 (c) 2:53 (d) 3:53
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  7. 7.A clock shows 8:30. What time will it show 68 minutes later? (a) 10:38 (b) 9:48 (c) 9:38 (d) 9:28
  8. 8.A clock shows 11:50. What time will it show 64 minutes later? (a) 12:54 (b) 12:44 (c) 1:54 (d) 1:04
  9. 9.How many degrees does the minute hand of a clock turn in 20 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  11. 11.A clock shows 2:41. What time will it show 51 minutes later? (a) 4:32 (b) 3:32 (c) 3:42 (d) 3:22
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  13. 13.A clock shows 2:47. What time will it show 120 minutes later? (a) 4:47 (b) 5:47 (c) 4:57 (d) 4:37
  14. 14.A clock shows 12:12. What time will it show 111 minutes later? (a) 2:13 (b) 2:03 (c) 1:53 (d) 3:03
  15. 15.A clock shows 1:09. What time will it show 84 minutes later? (a) 2:43 (b) 3:33 (c) 2:23 (d) 2:33
  16. 16.How many degrees does the minute hand of a clock turn in 23 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
  18. 18.A clock shows 10:51. What time will it show 146 minutes later? (a) 1:27 (b) 1:17 (c) 1:07 (d) 2:17
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 45 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 11 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:55? (in degrees) =
  23. 23.A clock shows 3:04. What time will it show 114 minutes later? (a) 5:58 (b) 5:08 (c) 4:58 (d) 4:48
  24. 24.A clock shows 1:11. What time will it show 48 minutes later? (a) 1:49 (b) 2:09 (c) 2:59 (d) 1:59
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  27. 27.A clock shows 11:30. What time will it show 128 minutes later? (a) 1:38 (b) 1:28 (c) 1:48 (d) 2:38
  28. 28.A clock shows 5:06. What time will it show 63 minutes later? (a) 5:59 (b) 6:09 (c) 6:19 (d) 7:09
  29. 29.How many degrees does the hour hand of a clock turn in 36 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  32. 32.A clock shows 12:39. What time will it show 53 minutes later? (a) 1:42 (b) 1:32 (c) 2:32 (d) 1:22
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 161 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 23 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 57 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  40. 40.A clock shows 10:30. What time will it show 142 minutes later? (a) 12:52 (b) 1:52 (c) 1:02 (d) 12:42

Answer key

  1. 161
  2. 38.5
  3. 2:53
  4. 123.5
  5. 120
  6. 139.5
  7. 9:38
  8. 12:54
  9. 120
  10. 60
  11. 3:32
  12. 177
  13. 4:47
  14. 2:03
  15. 2:33
  16. 138
  17. 108
  18. 1:17
  19. 159
  20. 270
  21. 5.5
  22. 2.5
  23. 4:58
  24. 1:59
  25. 17
  26. 30
  27. 1:38
  28. 6:09
  29. 18
  30. 62.5
  31. 11
  32. 1:32
  33. 60.5
  34. 58.5
  35. 80.5
  36. 11.5
  37. 84.5
  38. 342
  39. 73
  40. 12:52

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