7. A terrace in the shape of a rectangle, 6 meters long and 225 centimeters wide, needs to be tiled with square stone tiles of the same size. What is the minimum number of tiles needed to tile the terrace?

MINISTRY OF SCIENCE, EDUCATION AND SPORT OF THE REPUBLIC OF CROATIA AGENCY FOR EDUCATION AND UPBRINGING

CROATIAN MATHEMATICAL SOCIETY

## SCHOOL/CITY COMPETITION IN MATHEMATICS
7. To determine the smallest number of tiles needed to tile a terrace, it is necessary to determine the largest size of square tiles for this tiling.

2 POINTS

This means that we need to determine $\mathrm{D}(600,225)$.

1 POINT

It holds that $\mathrm{D}(600,225)=75$.

2 POINTS

Since $600: 75=8$ and $225: 75=3$,

2 POINTS

there will be 8 rows of 3 tiles each.

2 POINTS

The smallest number of tiles needed for this tiling is 24 tiles.

1 POINT

TOTAL 10 POINTS

## SCHOOL/CITY COMPETITION IN MATHEMATICS  January 17, 2013.  6th grade - solutions

HERE IS ONE WAY TO SOLVE THE PROBLEMS. IF A STUDENT HAS A DIFFERENT APPROACH TO SOLVING, THE MEMBER OF THE COMMITTEE IS OBLIGED TO GRADE AND EVALUATE THAT APPROACH IN AN APPROPRIATE MANNER.

$1.8-6 \cdot \frac{2}{3}-(0.5 \cdot 10-7.5: 5)=$

$=8-4-(5-1.5)=\quad 2$ POINTS

$=4-3.5=\quad 2$ POINTS

$=0.5 \quad 2$ POINTS $\qquad$