Name ______Date ______

5th Grade: Complex Questions for Test Prep on the Pivotal Standards

5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.*

a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.

b. Interpret division of a whole number by a unit fraction, and compute such quotients.

c. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.

1. Half of a school cafeteria is needed to seat 4 equal-sized Spanish classes. What fraction of the cafeteria will one Spanish class need?

A 15

B 12

C 14

D 18

2. Jaden is painting his room. He needs 35 of a gallon to paint the whole room. What fraction of a gallon will he need for each of his 3 walls if he uses the same amount of paint on each?

A 95

B 15

C 915

D 3 35

3. Julius has 4 blue marbles. If one third of Julius' marbles are blue, how many marbles does Julius have?

A 12

B 3

C 34

D 7

4. Avery and Megan are cutting paper to make origami stars. They need 15 of a sheet of paper in order to make each star. If they have 6 sheets of paper, how many stars can they make?

A 130

B 30

C 630

D 6

6. Frank had a pizza party on Friday night. Saturday he invited 3 friends over for leftovers. There was 56 of a pepperoni pizza and 12 of a cheese pizza leftover. How much of the total pizza would one person have if they split the pizza equally?

A 14

B 524

C 13

D 86

Worked Example

Julius has 4 blue marbles. If one third of Julius' marbles are blue, how many marbles does Julius have?

Conference Question: How did the tools used (the diagram, the expressions, equations) map the mathematics in this problem and let the mathematician answer the question the problem is asking?

Worked Example

Julius has 4 blue marbles. If one third of Julius' marbles are blue, how many marbles does Julius have?

Conference Question: How did the tools used (the diagram, the expressions, equations) map the mathematics in this problem and let the mathematician answer the question the problem is asking?

Set 8 5.NF.7 Division of unit fractions by whole number