Between midnight and 7:00 we found ten
0:12 1:23 5:43 6:54 2:34 3:45 3:21 4:32 4:56 2:10
There are no times between
7:00 and midday .
We found two times between midday and midnight. These are 12:34 and 23:45.
Syed (Foxford School and Community College) agrees with this answer and makes a statement about why you don't get times containing a 7, 8, or 9 in the solution:
The largest the tens digit of the minute number can be is 5, so the largest unit of the hour number is 6 in order for the time to have consecutive digits.
George (Rosebank Primary School, Leeds) also solved this one and explained his thinking well.
Jason (Priory Middle School, Dunstable) took a different view of this problem. Instead of only looking at single digit numbers, he also looked for consecutive two-digit numbers. This is what he found:
|For midnight to 7am||For 7am to midday||For midday to midnight|
Some interesting patterns here Jason!