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Federal Way Public Schools  
Assessment
Lessons 1-6		 Number Sense


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Lesson 1

  1.
Which digit is in the hundredths place value in the number below?
8109.267

A. 1
B. 6
C.
8
D.
7

  2.
Which set is ordered from least to greatest?
A.
{2/5, .25, .52, 5/2, 1.25}
B.
{5/2, 1.25, .52, 2/5, .25}
C.
{.52, 1.25, .25, 2/5, 5/2}
D.
{.25, 2/5, .52, 1.25, 5/2}

  3.
Convert the following improper fraction into a mixed number.
23 / 4

A. 5 3/4
B. 4 5/4
C.
23 1/4
D.
5 4/3

Lesson 2

  4.
Which of the following mathematical sentences is an example of the distributive property?
A. 5(3)(1) = 3(5)(1)
B. 5(3 - 1) = 5(3) - 5(1)
C.
5[3(1)] = [5(3)](1)
D.
5(0) = 0

  5.
Which of the following is a prime number? Explain your answer using words, numbers, and/or pictures.
A. 18
B. 25
C.
31
D.
36

Write your explanation here. Be clear and specific with your explanation.

Lesson 3

  6.
Find the quotient of the following mathematical sentence.
45 1/3

A. 135
B. 15
C.
45/3
D.
3/45

  7.
Mark, Jan, and Francine own a business. Mark owns 3/10 of the business, Jan owns 1/2 of the business, and Francine owns the rest. Explain in detail how you would find what fraction of the business is owned by Francine.

Lesson 4

  8.
Using order of operations, solve the following mathematical sentence.
(3+7)2 - [15 * (9-4)]

A. 175
B. 75
C.
25
D.
0

  9.
Fred filled his car with 12 gallons of gas at $1.55 per gallon. He gave the attendant a $20 bill. How much change did Fred receive after paying for his gasoline? Explain your solution using words, numbers, and/or pictures.
A. $2.00
B. $12.00
C.
$2.40
D.
$1.40

Write your explanation as to how you solved this problem below.

Lesson 5

10.
Tom spent $58.54 on textbooks, $17.98 on school supplies, and then $21.75 on a backpack. Estimate how much Tom spent getting ready for school.
A. $100
B. $98.27
C.
$80
D.
$101.75

11.
Mike is putting up a fence around his backyard. The measurements of the yard are 113 feet by 48 feet. He went to the lumber yard to get the wood and told the clerk he estimated he needs 300 feet of fence to put up around his backyard. Will Mike have enough fence to go around the backyard? Explain in detail if Mike should have estimated to find the amount of fence he needed.

12.
Choose a situation where estimation is appropriate and explain your answer in complete detail using words, numbers, and/or pictures.
A. Distance to travel on vacation
B. Money to buy gasoline
C.
Number of people at the high school football game
D.
Amount of time to take a math test

Explain your answer:

Lesson 6

13.
Find the missing number, x, that makes this proportion true:
x/16 = 9/2
 
A. 81
B. 72
C.
9
D.
18

14.
Erica is on a diet that requires her to eat 2 grams of protein for every 5 grams of carbohydrates. If her breakfast contains 12 grams of protein, how many grams of carbohydrates should she include to maintain the proper ratio? Which proportion will help you solve this problem?
A. 5/2 = 12/x
B. 12/2 = x/5
C.
2/12 = 5/x
D.
2/5 = 12/x

15.
A recipe calls for 3 onions and 7 potatoes. How many onions are needed if 21 potatoes are used?
A. 6
B. 21
C.
9
D.
10

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