Hands-on math!

Washington State Math Olympiad
Hints and Solutions
2016 Grade 6 Number Sense

Problem
1) The sum of four consecutive integers is 74. What is the largest of these numbers?

2) 4/5 + (1+3+5+7)/(1*3*5*7) = ?
(Express your answer as a fraction in lowest terms)

3) The average of five numbers is 42. If 4 is added to the first number, 5 is added to the second number, 6 is added to the third number, and so on, what will the new average be?

4) Lana is reading a book for a class assignment. Yesterday she read 1/6th of the book. Today she read 78 pages and has finished 3/5 of the book. How many pages are left in the book?

5) Complete the diagram by entering fractions in each of the blank squares such that the sum of the entries in each row, column, and diagonal results in the same value.
What is the sum of the missing fractions?
(Express as an improper fraction in its lowest terms)