MOEMS M [Dec. 13, 2017] Quiz

Reduce the complex fraction to a common fraction in lowest terms:  $\frac{2}{3+\frac{4}{1-\frac{1}{5}}}$  [Hint: Start with  $1-\frac{1}{5}$  ]

• 1/2

• 1/4

• 4/5

• 3/4

A palindrome reads the same forwards and backwards. The number 2017102 is a 7-digit palindrome. Let A represent the least palindrome greater than 2017102. Let B represent the greatest palindrome less than 2017102. Find A – B.

• 1200

• 3000

• 1500

• 2000

Thirty-six points are arranged in a unit-square array as shown. Figure ABCDE is composed entirely of straight-line segments with vertices A, B, C, D, and E. Find the number of degrees in the sum of the interior angles of figure ABCDE. [The interior angle at D is a reflex angle whose measure is greater than 180°.]

• 500°

• 360°

• 540°

• 600°

Alexi opens his favorite mathematics puzzle book and notes that the product of the page numbers facing him is 1,332. Find the sum of these two page numbers. [Note: All pages are numbered consecutively.]

• 73

• 46

• 50

• 63

What is the greatest whole number less than 1000 that: (1) can be expressed as the sum of two consecutive whole numbers, and (2) can be expressed as the sum of three consecutive whole numbers, and (3) can be expressed as the sum of five consecutive whole numbers?

• 965

• 875

• 975

• 100