Printable

2003 AMC 10B Problem 7

Include the solution Back to the problem

2003 AMC 10B Problem 7AMC 10 Step by Step

Name: Date: September 13, 2026

Number Properties · difficulty 2 of 5 · about 2 min · position P1-10

The symbolism $\lfloor x \rfloor$ denotes the largest integer not exceeding $x$ . For example, $\lfloor 3 \rfloor = 3,$ and $\lfloor 9/2 \rfloor = 4$ . Compute $\lfloor \sqrt{1} \rfloor + \lfloor \sqrt{2} \rfloor + \lfloor \sqrt{3} \rfloor + \cdots + \lfloor \sqrt{16} \rfloor.$

A)
$35$
B)
$38$
C)
$40$
D)
$42$
E)
$136$

2003 AMC 10B Problem 7

Working