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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 523 · 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 8:57? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 38 minutes? =
  3. 3.A clock shows 2:50. What time will it show 19 minutes later? (a) 3:19 (b) 4:09 (c) 2:59 (d) 3:09
  4. 4.How many degrees does the hour hand of a clock turn in 158 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  9. 9.A clock shows 11:09. What time will it show 24 minutes later? (a) 11:23 (b) 11:33 (c) 12:33 (d) 11:43
  10. 10.A clock shows 5:05. What time will it show 98 minutes later? (a) 6:33 (b) 6:53 (c) 7:43 (d) 6:43
  11. 11.A clock shows 11:23. What time will it show 121 minutes later? (a) 1:34 (b) 1:14 (c) 2:24 (d) 1:24
  12. 12.How many degrees does the hour hand of a clock turn in 83 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 39 minutes? =
  14. 14.A clock shows 12:01. What time will it show 138 minutes later? (a) 2:29 (b) 2:19 (c) 3:19 (d) 2:09
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 22 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 78 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 55 minutes? =
  20. 20.A clock shows 9:08. What time will it show 127 minutes later? (a) 11:25 (b) 11:05 (c) 11:15 (d) 12:15
  21. 21.How many degrees does the minute hand of a clock turn in 49 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:00? (in degrees) =
  24. 24.A clock shows 7:38. What time will it show 32 minutes later? (a) 8:20 (b) 8:00 (c) 9:10 (d) 8:10
  25. 25.A clock shows 9:44. What time will it show 54 minutes later? (a) 10:28 (b) 11:38 (c) 10:38 (d) 10:48
  26. 26.A clock shows 11:56. What time will it show 17 minutes later? (a) 12:03 (b) 12:13 (c) 12:23 (d) 1:13
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 29 minutes? =
  30. 30.A clock shows 11:37. What time will it show 158 minutes later? (a) 3:15 (b) 2:25 (c) 2:15 (d) 2:05
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 5 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:11? (in degrees) =
  34. 34.A clock shows 12:00. What time will it show 43 minutes later? (a) 12:33 (b) 1:43 (c) 12:53 (d) 12:43
  35. 35.A clock shows 3:34. What time will it show 23 minutes later? (a) 3:57 (b) 3:47 (c) 4:07 (d) 4:57
  36. 36.A clock shows 7:23. What time will it show 18 minutes later? (a) 7:51 (b) 7:31 (c) 7:41 (d) 8:41
  37. 37.A clock shows 7:31. What time will it show 105 minutes later? (a) 9:16 (b) 9:06 (c) 10:16 (d) 9:26
  38. 38.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:23? (in degrees) =
  40. 40.A clock shows 8:02. What time will it show 114 minutes later? (a) 10:06 (b) 9:46 (c) 10:56 (d) 9:56

Answer key

  1. 73.5
  2. 19
  3. 3:09
  4. 79
  5. 0.5
  6. 163
  7. 104.5
  8. 164
  9. 11:33
  10. 6:43
  11. 1:24
  12. 41.5
  13. 19.5
  14. 2:19
  15. 20
  16. 117
  17. 132
  18. 39
  19. 330
  20. 11:15
  21. 294
  22. 121
  23. 120
  24. 8:10
  25. 10:38
  26. 12:13
  27. 160
  28. 90.5
  29. 174
  30. 2:15
  31. 18.5
  32. 30
  33. 90.5
  34. 12:43
  35. 3:57
  36. 7:41
  37. 9:16
  38. 28
  39. 173.5
  40. 9:56

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