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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 959 · 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 58 minutes? =
  2. 2.A clock shows 5:00. What time will it show 122 minutes later? (a) 8:02 (b) 6:52 (c) 7:12 (d) 7:02
  3. 3.How many degrees does the hour hand of a clock turn in 115 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 4 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 179 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 42 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  11. 11.A clock shows 12:19. What time will it show 57 minutes later? (a) 1:06 (b) 2:16 (c) 1:26 (d) 1:16
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 34 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 36 minutes? =
  16. 16.A clock shows 1:39. What time will it show 43 minutes later? (a) 2:22 (b) 2:32 (c) 3:22 (d) 2:12
  17. 17.A clock shows 1:28. What time will it show 32 minutes later? (a) 1:50 (b) 2:10 (c) 3:00 (d) 2:00
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  19. 19.A clock shows 7:08. What time will it show 169 minutes later? (a) 9:57 (b) 10:07 (c) 10:57 (d) 9:47
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
  22. 22.A clock shows 2:57. What time will it show 113 minutes later? (a) 4:50 (b) 5:00 (c) 4:40 (d) 5:50
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 67 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 11 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 23 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
  32. 32.A clock shows 3:37. What time will it show 30 minutes later? (a) 5:07 (b) 3:57 (c) 4:07 (d) 4:17
  33. 33.How many degrees does the hour hand of a clock turn in 143 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 6 minutes? =
  35. 35.A clock shows 10:58. What time will it show 161 minutes later? (a) 2:39 (b) 1:49 (c) 1:29 (d) 1:39
  36. 36.How many degrees does the hour hand of a clock turn in 128 minutes? =
  37. 37.A clock shows 4:02. What time will it show 87 minutes later? (a) 5:19 (b) 5:29 (c) 6:29 (d) 5:39
  38. 38.A clock shows 6:02. What time will it show 52 minutes later? (a) 7:54 (b) 7:04 (c) 6:44 (d) 6:54
  39. 39.A clock shows 6:12. What time will it show 134 minutes later? (a) 9:26 (b) 8:16 (c) 8:36 (d) 8:26
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =

Answer key

  1. 348
  2. 7:02
  3. 57.5
  4. 24
  5. 89.5
  6. 41
  7. 252
  8. 70.5
  9. 135
  10. 177
  11. 1:16
  12. 87.5
  13. 204
  14. 11.5
  15. 18
  16. 2:22
  17. 2:00
  18. 133
  19. 9:57
  20. 145
  21. 158.5
  22. 4:50
  23. 75
  24. 33.5
  25. 5.5
  26. 105.5
  27. 60.5
  28. 14
  29. 138
  30. 114.5
  31. 21.5
  32. 4:07
  33. 71.5
  34. 36
  35. 1:39
  36. 64
  37. 5:29
  38. 6:54
  39. 8:26
  40. 165.5

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