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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 264 · 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 3:05. What time will it show 26 minutes later? (a) 3:21 (b) 3:31 (c) 4:31 (d) 3:41
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 101 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 44 minutes? =
  7. 7.A clock shows 7:42. What time will it show 127 minutes later? (a) 10:49 (b) 9:59 (c) 9:39 (d) 9:49
  8. 8.A clock shows 11:40. What time will it show 46 minutes later? (a) 1:26 (b) 12:36 (c) 12:16 (d) 12:26
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 8 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 160 minutes? =
  15. 15.A clock shows 6:32. What time will it show 155 minutes later? (a) 10:07 (b) 9:17 (c) 9:07 (d) 8:57
  16. 16.A clock shows 5:31. What time will it show 129 minutes later? (a) 7:40 (b) 7:50 (c) 8:40 (d) 7:30
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  18. 18.A clock shows 9:33. What time will it show 16 minutes later? (a) 9:49 (b) 10:49 (c) 9:59 (d) 9:39
  19. 19.How many degrees does the hour hand of a clock turn in 99 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 12 minutes? =
  21. 21.A clock shows 8:00. What time will it show 163 minutes later? (a) 10:33 (b) 11:43 (c) 10:43 (d) 10:53
  22. 22.How many degrees does the minute hand of a clock turn in 52 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 89 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 17 minutes? =
  26. 26.A clock shows 2:54. What time will it show 57 minutes later? (a) 3:51 (b) 4:01 (c) 3:41 (d) 4:51
  27. 27.A clock shows 4:08. What time will it show 101 minutes later? (a) 5:39 (b) 6:49 (c) 5:59 (d) 5:49
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  30. 30.A clock shows 2:09. What time will it show 30 minutes later? (a) 3:39 (b) 2:49 (c) 2:39 (d) 2:29
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 105 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  34. 34.A clock shows 4:14. What time will it show 131 minutes later? (a) 7:25 (b) 6:15 (c) 6:25 (d) 6:35
  35. 35.How many degrees does the hour hand of a clock turn in 58 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 17 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 165 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 33 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 134 minutes? =

Answer key

  1. 3:31
  2. 123
  3. 136.5
  4. 159
  5. 50.5
  6. 264
  7. 9:49
  8. 12:26
  9. 66
  10. 48
  11. 85
  12. 25
  13. 19
  14. 80
  15. 9:07
  16. 7:40
  17. 5.5
  18. 9:49
  19. 49.5
  20. 72
  21. 10:43
  22. 312
  23. 166
  24. 44.5
  25. 8.5
  26. 3:51
  27. 5:49
  28. 46.5
  29. 38
  30. 2:39
  31. 164
  32. 52.5
  33. 176.5
  34. 6:25
  35. 29
  36. 102
  37. 80
  38. 82.5
  39. 198
  40. 67

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