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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 145 · 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 12:03. What time will it show 20 minutes later? (a) 1:23 (b) 12:13 (c) 12:33 (d) 12:23
  2. 2.How many degrees does the hour hand of a clock turn in 164 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 159 minutes? =
  5. 5.A clock shows 8:09. What time will it show 55 minutes later? (a) 9:14 (b) 8:54 (c) 9:04 (d) 10:04
  6. 6.A clock shows 5:30. What time will it show 37 minutes later? (a) 6:17 (b) 6:07 (c) 7:07 (d) 5:57
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
  13. 13.A clock shows 2:12. What time will it show 58 minutes later? (a) 3:20 (b) 4:10 (c) 3:00 (d) 3:10
  14. 14.A clock shows 10:36. What time will it show 23 minutes later? (a) 11:59 (b) 11:09 (c) 10:59 (d) 10:49
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 16 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 128 minutes? =
  19. 19.A clock shows 9:31. What time will it show 18 minutes later? (a) 9:59 (b) 9:39 (c) 10:49 (d) 9:49
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:26? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 161 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 139 minutes? =
  23. 23.How many degrees does the hour hand of a clock turn in 149 minutes? =
  24. 24.A clock shows 6:15. What time will it show 95 minutes later? (a) 7:50 (b) 8:00 (c) 8:50 (d) 7:40
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 31 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 26 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  30. 30.A clock shows 1:44. What time will it show 152 minutes later? (a) 5:16 (b) 4:26 (c) 4:06 (d) 4:16
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 76 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 88 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 20 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 131 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 6 minutes? =
  37. 37.A clock shows 2:43. What time will it show 100 minutes later? (a) 4:23 (b) 5:23 (c) 4:33 (d) 4:13
  38. 38.A clock shows 5:50. What time will it show 170 minutes later? (a) 9:40 (b) 8:30 (c) 8:50 (d) 8:40
  39. 39.How many degrees does the minute hand of a clock turn in 9 minutes? =
  40. 40.A clock shows 5:34. What time will it show 70 minutes later? (a) 6:34 (b) 6:44 (c) 6:54 (d) 7:44

Answer key

  1. 12:23
  2. 82
  3. 174.5
  4. 79.5
  5. 9:04
  6. 6:07
  7. 56
  8. 58.5
  9. 54.5
  10. 80.5
  11. 89.5
  12. 173
  13. 3:10
  14. 10:59
  15. 178
  16. 52.5
  17. 8
  18. 64
  19. 9:49
  20. 23
  21. 80.5
  22. 69.5
  23. 74.5
  24. 7:50
  25. 111
  26. 15.5
  27. 156
  28. 27
  29. 145
  30. 4:16
  31. 42.5
  32. 38
  33. 44
  34. 120
  35. 65.5
  36. 36
  37. 4:23
  38. 8:40
  39. 54
  40. 6:44

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