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MATH / The 5×5 grid shown contains a collection of squares with sizes from 1×1 to 5×5. How many of these squares contain the black center square? [asy] fill((2,2)--(3,2)--(3,3)--(2,3)--cy…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The 5×55\times 5 grid shown contains a collection of squares with sizes from 1×11\times 1 to 5×55\times 5. How many of these squares contain the black center square? [asy] fill((2,2)--(3,2)--(3,3)--(2,3)--cycle,gray(0.1)); for (int i=0; i<6; ++i) { for (int j=0; j<6; ++j) { draw((0,i)--(5,i),linewidth(0.7)); draw((j,0)--(j,5),linewidth(0.7)); };} [/asy]
Plain-text mathematical notation (without MathML)
The 5×5 grid shown contains a collection of squares with sizes from 1×1 to 5×5. How many of these squares contain the black center square?

[asy]
fill((2,2)--(3,2)--(3,3)--(2,3)--cycle,gray(0.1));
for (int i=0; i<6; ++i) {
for (int j=0; j<6; ++j) {
draw((0,i)--(5,i),linewidth(0.7));
draw((j,0)--(j,5),linewidth(0.7));
};}
[/asy]
Original LaTeX notation
The $5\times 5$ grid shown contains a collection of squares with sizes from $1\times 1$ to $5\times 5$. How many of these squares contain the black center square?

[asy]
fill((2,2)--(3,2)--(3,3)--(2,3)--cycle,gray(0.1));
for (int i=0; i<6; ++i) {
for (int j=0; j<6; ++j) {
draw((0,i)--(5,i),linewidth(0.7));
draw((j,0)--(j,5),linewidth(0.7));
};}
[/asy]

level

Level 5

type

Prealgebra

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Source and history

task_id
e8412ee4-3a27-5cf8-a18c-32eeef4ddac5
task_key
prealgebra--test--e8412ee4-3a27-5cf8-a18c-32eeef4ddac5
task_revision_id
1
config / split
prealgebra / test

Official source

initial import