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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 298 · 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 9:45. What time will it show 16 minutes later? (a) 9:51 (b) 11:01 (c) 10:11 (d) 10:01
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 44 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 79 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 46 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 14 minutes? =
  8. 8.A clock shows 5:20. What time will it show 69 minutes later? (a) 6:29 (b) 6:19 (c) 7:29 (d) 6:39
  9. 9.A clock shows 1:44. What time will it show 141 minutes later? (a) 5:05 (b) 4:15 (c) 4:05 (d) 3:55
  10. 10.A clock shows 1:08. What time will it show 35 minutes later? (a) 1:43 (b) 1:53 (c) 2:43 (d) 1:33
  11. 11.A clock shows 7:34. What time will it show 48 minutes later? (a) 8:22 (b) 8:32 (c) 9:22 (d) 8:12
  12. 12.How many degrees does the hour hand of a clock turn in 34 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 31 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 10 minutes? =
  17. 17.A clock shows 9:11. What time will it show 60 minutes later? (a) 10:01 (b) 10:11 (c) 10:21 (d) 11:11
  18. 18.A clock shows 2:32. What time will it show 159 minutes later? (a) 5:11 (b) 6:11 (c) 5:01 (d) 5:21
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 14 minutes? =
  23. 23.A clock shows 11:27. What time will it show 87 minutes later? (a) 12:54 (b) 1:54 (c) 12:44 (d) 1:04
  24. 24.How many degrees does the minute hand of a clock turn in 22 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 7 minutes? =
  30. 30.A clock shows 9:07. What time will it show 109 minutes later? (a) 10:46 (b) 10:56 (c) 11:56 (d) 11:06
  31. 31.A clock shows 10:08. What time will it show 62 minutes later? (a) 11:10 (b) 12:10 (c) 11:20 (d) 11:00
  32. 32.A clock shows 1:52. What time will it show 18 minutes later? (a) 2:10 (b) 2:00 (c) 2:20 (d) 3:10
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 57 minutes? =
  37. 37.A clock shows 8:23. What time will it show 96 minutes later? (a) 9:59 (b) 10:59 (c) 9:49 (d) 10:09
  38. 38.How many degrees does the minute hand of a clock turn in 24 minutes? =
  39. 39.A clock shows 2:41. What time will it show 145 minutes later? (a) 6:06 (b) 5:16 (c) 4:56 (d) 5:06
  40. 40.How many degrees does the minute hand of a clock turn in 32 minutes? =

Answer key

  1. 10:01
  2. 93.5
  3. 22
  4. 39.5
  5. 117.5
  6. 23
  7. 84
  8. 6:29
  9. 4:05
  10. 1:43
  11. 8:22
  12. 17
  13. 129.5
  14. 186
  15. 62.5
  16. 60
  17. 10:11
  18. 5:11
  19. 115
  20. 82
  21. 55.5
  22. 7
  23. 12:54
  24. 132
  25. 44
  26. 171.5
  27. 168.5
  28. 146
  29. 42
  30. 10:56
  31. 11:10
  32. 2:10
  33. 11
  34. 129
  35. 24
  36. 342
  37. 9:59
  38. 144
  39. 5:06
  40. 192

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