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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 289 · 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.How many degrees does the minute hand of a clock turn in 3 minutes? =
  2. 2.A clock shows 3:57. What time will it show 47 minutes later? (a) 4:54 (b) 4:34 (c) 5:44 (d) 4:44
  3. 3.A clock shows 10:10. What time will it show 50 minutes later? (a) 11:10 (b) 12:00 (c) 11:00 (d) 10:50
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  5. 5.A clock shows 7:57. What time will it show 127 minutes later? (a) 10:14 (b) 9:54 (c) 11:04 (d) 10:04
  6. 6.A clock shows 9:43. What time will it show 103 minutes later? (a) 12:26 (b) 11:36 (c) 11:26 (d) 11:16
  7. 7.A clock shows 12:45. What time will it show 72 minutes later? (a) 1:47 (b) 1:57 (c) 2:57 (d) 2:07
  8. 8.How many degrees does the minute hand of a clock turn in 47 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 9 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 177 minutes? =
  15. 15.A clock shows 12:10. What time will it show 168 minutes later? (a) 2:58 (b) 3:58 (c) 2:48 (d) 3:08
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 46 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  19. 19.A clock shows 7:40. What time will it show 162 minutes later? (a) 10:12 (b) 10:22 (c) 10:32 (d) 11:22
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  22. 22.How many degrees does the minute hand of a clock turn in 19 minutes? =
  23. 23.A clock shows 8:12. What time will it show 109 minutes later? (a) 10:11 (b) 10:01 (c) 11:01 (d) 9:51
  24. 24.How many degrees does the hour hand of a clock turn in 159 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  26. 26.A clock shows 3:52. What time will it show 131 minutes later? (a) 6:13 (b) 5:53 (c) 7:03 (d) 6:03
  27. 27.How many degrees does the hour hand of a clock turn in 29 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 32 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 180 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 54 minutes? =
  31. 31.A clock shows 10:33. What time will it show 37 minutes later? (a) 11:00 (b) 11:10 (c) 12:10 (d) 11:20
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 48 minutes? =
  35. 35.A clock shows 5:31. What time will it show 98 minutes later? (a) 7:19 (b) 6:59 (c) 7:09 (d) 8:09
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 151 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  39. 39.A clock shows 5:43. What time will it show 143 minutes later? (a) 8:06 (b) 8:16 (c) 9:06 (d) 7:56
  40. 40.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =

Answer key

  1. 18
  2. 4:44
  3. 11:00
  4. 47
  5. 10:04
  6. 11:26
  7. 1:57
  8. 282
  9. 95
  10. 145
  11. 9.5
  12. 171
  13. 54
  14. 88.5
  15. 2:58
  16. 33.5
  17. 23
  18. 57.5
  19. 10:22
  20. 40.5
  21. 32
  22. 114
  23. 10:01
  24. 79.5
  25. 152.5
  26. 6:03
  27. 14.5
  28. 16
  29. 90
  30. 27
  31. 11:10
  32. 155
  33. 7.5
  34. 288
  35. 7:09
  36. 136
  37. 75.5
  38. 92
  39. 8:06
  40. 144

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