Pattern Blocks
Discrete
Fraction Word Problems
100

2 triangles= 1 whole unit 

2 trapezoids =

2 hexagons =

2 rhombi =


2 trapezoids = 3

2 hexagons = 6

2 rhombi = 2

100

There are 3 red balloons, 2 yellow balloons, and 4 blue balloons. If the unit is 6 balloons, determine the fraction that represents red balloons. 

0/6, 1/6, 2/6, 3/6

100

Nick receives his paycheck for the month. He spends 3/8 of it on food. He then spends 2/5 of what remains on his house payment. He spends 1/3 of what is then left for his other bills. This leaves him with $200. What was his original take-home pay?

$800

200

Charlie Brown takes 2/3 of the pattern blocks that Lucy has and gets 1 hexagon, 1 rhombus, and 1 triangle. What pattern blocks might Lucy have had before Charlie took any away? 

Three trapezoids and three rhombi or 15 triangles

200

There are 9 baby ducks.

Identify the unit and define the partition If the set of 9 baby ducks represents 1 4/5

1 whole unit = 5 baby ducks 

Partition= 1/5 or one baby duck 

200

Macie is planting a garden. 3/7 of the garden is lettuce, and 1/2 of the remaining space will be green beans. After that, 1/4 of the space that is left will be sweet corn, and the rest will be tomatoes. What fraction of the garden will be lettuce? Green beans? Sweet corn? Tomatoes? 

Lettuce= 6/14

Green Beans= 4/14

Sweet Corn= 1/14

Tomatoes= 3/14

300

If one rhombus, 1 trapezoid, and one triangle are 3/2, what is one whole unit? 

4 triangles or 2 rhombi

300

Given the unit—a set of pattern blocks with 1 hexagon, 1 rhombus, 1 trapezoid, and 1 triangle—using a discrete model, draw a picture that represents 2/4. Describe the unit and partition

Unit: 4/4 or the set of blocks given 

Partition: 1 shape

2/4= Two shapes (e.g., 1 hexagon and 1 rhombus)

300

A class recently took a test. 1/5 of the students in the class earned an A on the test. Of those who didn't earn an A, 2/4 received a B. 2/3 of the remaining got a C on the test. The remaining students received Ds. If 4 students received Ds, then what fraction of the class received each letter grade on the test?

As= 6

Bs= 12

Cs= 8

Ds= 4