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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 642 · 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 4:15. What time will it show 20 minutes later? (a) 5:35 (b) 4:35 (c) 4:25 (d) 4:45
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 165 minutes? =
  5. 5.A clock shows 10:50. What time will it show 15 minutes later? (a) 12:05 (b) 11:05 (c) 11:15 (d) 10:55
  6. 6.How many degrees does the minute hand of a clock turn in 40 minutes? =
  7. 7.A clock shows 6:05. What time will it show 24 minutes later? (a) 7:29 (b) 6:39 (c) 6:19 (d) 6:29
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 77 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  12. 12.A clock shows 12:07. What time will it show 63 minutes later? (a) 1:00 (b) 2:10 (c) 1:20 (d) 1:10
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  16. 16.A clock shows 1:02. What time will it show 70 minutes later? (a) 3:12 (b) 2:12 (c) 2:02 (d) 2:22
  17. 17.How many degrees does the minute hand of a clock turn in 55 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:54? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:13? (in degrees) =
  22. 22.A clock shows 9:12. What time will it show 31 minutes later? (a) 10:43 (b) 9:33 (c) 9:53 (d) 9:43
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  25. 25.A clock shows 10:20. What time will it show 134 minutes later? (a) 12:34 (b) 12:44 (c) 1:34 (d) 12:24
  26. 26.A clock shows 6:09. What time will it show 127 minutes later? (a) 8:06 (b) 9:16 (c) 8:16 (d) 8:26
  27. 27.How many degrees does the minute hand of a clock turn in 47 minutes? =
  28. 28.A clock shows 10:58. What time will it show 69 minutes later? (a) 12:07 (b) 12:17 (c) 11:57 (d) 1:07
  29. 29.How many degrees does the minute hand of a clock turn in 15 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 14 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 13 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 12 minutes? =
  35. 35.A clock shows 12:45. What time will it show 58 minutes later? (a) 1:53 (b) 2:43 (c) 1:33 (d) 1:43
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  38. 38.A clock shows 7:41. What time will it show 31 minutes later? (a) 8:12 (b) 8:22 (c) 9:12 (d) 8:02
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  40. 40.A clock shows 4:57. What time will it show 17 minutes later? (a) 5:04 (b) 5:24 (c) 5:14 (d) 6:14

Answer key

  1. 4:35
  2. 64.5
  3. 52.5
  4. 82.5
  5. 11:05
  6. 240
  7. 6:29
  8. 140
  9. 38.5
  10. 8
  11. 152
  12. 1:10
  13. 139.5
  14. 113
  15. 14.5
  16. 2:12
  17. 330
  18. 3
  19. 96.5
  20. 104.5
  21. 71.5
  22. 9:43
  23. 7
  24. 179
  25. 12:34
  26. 8:16
  27. 282
  28. 12:07
  29. 90
  30. 7.5
  31. 222
  32. 84
  33. 78
  34. 72
  35. 1:43
  36. 121
  37. 177.5
  38. 8:12
  39. 58.5
  40. 5:14

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