Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?

Problem K. 433. (November 2014)

K. 433. We have four objects that look all alike, but weigh 3, 5, 8 and 11 kg. We also have an equal-arm balance without extra weights.

\(\displaystyle a)\) By using the balance only twice, how can we identify the 11-kg object?

\(\displaystyle b)\) With two further measurements, how can we determine the masses of the other objects, too?

(6 pont)

Deadline expired on December 10, 2014.


Statistics:

122 students sent a solution.
6 points:86 students.
5 points:5 students.
4 points:1 student.
3 points:3 students.
2 points:17 students.
1 point:3 students.
0 point:5 students.
Unfair, not evaluated:2 solutions.

Problems in Mathematics of KöMaL, November 2014