MathDB

3

Part of 2012-2013 SDML (Middle School)

Problems(4)

Self-referential character count

Source: 2012-2013 SDML Middle School 1a Problem 3

8/24/2016
What is the average length in letters of a word in this question?
(A) 3.5(B) 4(C) 4.5(D) 5(E) 5.5\text{(A) }3.5\qquad\text{(B) }4\qquad\text{(C) }4.5\qquad\text{(D) }5\qquad\text{(E) }5.5
Jeffrey jogging and running

Source: 2012-2013 SDML Middle School 1b Problem 3

8/24/2016
Jeffrey jogs 33 miles at 44 miles per hour. Then, he walks 44 miles at 33 miles an hour. What was Jeffrey's average speed in miles per hour for the entire trip? Express your answer as a decimal to the nearest hundredth.
Simplifying a repeated decimal

Source: 2012-2013 SDML Middle School 2a Problem 3

8/25/2016
Simplify 0.3‾1.3‾\frac{0.\overline{3}}{1.\overline{3}}.
(A) 313(B) 14(C) 311(D) 13(E) 34\text{(A) }\frac{3}{13}\qquad\text{(B) }\frac{1}{4}\qquad\text{(C) }\frac{3}{11}\qquad\text{(D) }\frac{1}{3}\qquad\text{(E) }\frac{3}{4}
Perfect square factor of factorial

Source: 2012-2013 SDML High School 2b Problem 3/2012-2013 SDML Middle School 2b Problem 3

8/25/2016
What is the smallest integer nn for which 10!n\frac{10!}{n} is a perfect square?
factorialSDML High School2012-13 SDML Round 2