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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 757 · 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 3:42? (in degrees) =
  2. 2.A clock shows 9:45. What time will it show 86 minutes later? (a) 11:01 (b) 11:21 (c) 11:11 (d) 12:11
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 105 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 125 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 85 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 4 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 178 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 11 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 11 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  19. 19.A clock shows 11:05. What time will it show 92 minutes later? (a) 1:37 (b) 12:27 (c) 12:37 (d) 12:47
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  21. 21.A clock shows 12:03. What time will it show 139 minutes later? (a) 2:32 (b) 2:12 (c) 3:22 (d) 2:22
  22. 22.How many degrees does the minute hand of a clock turn in 36 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  24. 24.A clock shows 5:24. What time will it show 128 minutes later? (a) 7:22 (b) 7:32 (c) 7:42 (d) 8:32
  25. 25.How many degrees does the hour hand of a clock turn in 69 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 19 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  28. 28.A clock shows 8:28. What time will it show 43 minutes later? (a) 9:01 (b) 10:11 (c) 9:21 (d) 9:11
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 173 minutes? =
  31. 31.A clock shows 1:23. What time will it show 92 minutes later? (a) 2:55 (b) 3:55 (c) 3:05 (d) 2:45
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 35 minutes? =
  35. 35.A clock shows 3:07. What time will it show 99 minutes later? (a) 4:36 (b) 4:56 (c) 4:46 (d) 5:46
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  37. 37.A clock shows 2:12. What time will it show 163 minutes later? (a) 5:55 (b) 5:05 (c) 4:55 (d) 4:45
  38. 38.A clock shows 7:29. What time will it show 45 minutes later? (a) 9:14 (b) 8:24 (c) 8:14 (d) 8:04
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 39 minutes? =

Answer key

  1. 141
  2. 11:11
  3. 27
  4. 6.5
  5. 123.5
  6. 116
  7. 101
  8. 52.5
  9. 164
  10. 62.5
  11. 42.5
  12. 47
  13. 24
  14. 89
  15. 66
  16. 162
  17. 5.5
  18. 136.5
  19. 12:37
  20. 155
  21. 2:22
  22. 216
  23. 69.5
  24. 7:32
  25. 34.5
  26. 9.5
  27. 141.5
  28. 9:11
  29. 176
  30. 86.5
  31. 2:55
  32. 139
  33. 176.5
  34. 210
  35. 4:46
  36. 38.5
  37. 4:55
  38. 8:14
  39. 92.5
  40. 234

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