Question 1

Divide: $\enspace18\div\frac{1}{12}$

Accepted Answer

$213$

Answer

$\frac{2}{3}$

Answer

$30$

Answer

$1\frac{1}{2}$

Question 2

Joe writes a number with a $3$ in the tenths place. Ellie also writes a number with a $3$ as a digit.
The value of the $3$ in Ellie's number is $10$ times the value of the $3$ in Joe's number. Which number could be the one Ellie wrote?

Accepted Answer

$423.67$

Answer

$426.73$

Answer

$324.67$

Answer

$426.37$

Question 3

An inequality is shown below.

$\qquad 4.205 < \enspace?$

Which number could be placed into the blank to make the inequality true?

Accepted Answer

four and twenty-four hundredths

Answer

four and two hundred four thousandths

Answer

four and two hundred five thousandths

Answer

four and twenty-seven thousandths

Question 4

A number is multiplied by $4$, then divided by $2$, and finally multiplied by $0.5$. How does the result compare to the original number?

Accepted Answer

The result is the same as the original number.

Answer

The result is one-fourth the value of the original number.

Answer

The result cannot be compared to the original number without knowing the
original number.

Answer

The result is four times the value of the original number.

Question 5

The expression below shows two fractions being added.

$\quad\frac{7}{12}+\frac{1}{18}$

Which expression could be used to find the sum of the two fractions?

Accepted Answer

$\frac{15}{36}+\frac{6}{36}+\frac{1}{36}+\frac{1}{36}$

Answer

$\frac{5}{6}+\frac{2}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$

Answer

$\frac{30}{72}+\frac{12}{72}+\frac{2}{72}+\frac{1}{72}$

Answer

$\frac{5}{30}+\frac{1}{30}+\frac{1}{30}+\frac{1}{30}$

Question 6

Priya has two pieces of fabric.

$\quad\bullet\enspace$ One piece is $\frac{8}{12}\,	ext{foot}$ in length.
$\quad\bullet\enspace$ The other piece is  $\frac{3}{12}\,	ext{foot}$ in length.

Priya uses $\frac{9}{12}\,	ext{foot}$foot of the fabric to make a pillowcase. How many feet of fabric does Priya have remaining?

Accepted Answer

$\frac{1}{6}$

Answer

$1\frac{1}{6}$

Answer

$\frac{1}{3}$

Answer

$\frac{11}{12}$

Question 7

Tanya makes a paper volcano in science class. She spends$\frac{1}{3}$   hour building the base, $\frac{1}{6}$ hour shaping the cone, and $\frac{1}{8}$ hour painting the outside. How many hours does Tanya spend making the volcano?

Accepted Answer

$\frac{5}{8}$

Answer

$\frac{15}{17}$

Answer

$\frac{3}{17}$

Answer

$\frac{1}{8}$

Question 8

Cereal boxes are arranged on three different shelves in a grocery store.

$\quad\bullet\enspace$ The top shelf is $42\frac{1}{2}$inches in length and $14\frac{2}{5}$ inches in width. 
$\quad\bullet\enspace$ The middle shelf is $1\frac{2}{5}$ times the length of the top shelf and $1\frac{1}{2}$ times the width of the top shelf.
$\quad\bullet\enspace$ The bottom shelf is $\frac{4}{5}$ times the length of the middle shelf and $\frac{3}{4}$ times the width of the middle shelf.

What are the length and the width of the bottom shelf?

Accepted Answer

length: $47\frac{3}{5}\,	ext{inches}$
width: $16\frac{1}{5}\,	ext{inches}$

Answer

length: $47\frac{3}{5}\,	ext{inches}$
width: $12\frac{3}{20}\,	ext{inches}$

Answer

length: $59\frac{1}{2}\,	ext{inches}$
width: $21\frac{3}{5}\,	ext{inches}$

Answer

length: $58\frac{7}{10}\,	ext{inches}$
width: $20\frac{17}{20}\,	ext{inches}$

Question 9

Two expressions are described below.

$\qquad$ expression R: multiply $35$ by $\frac{6}{5}$
$\qquad$ expression S: multiply $35$ by $\frac{3}{4}$

Based on the descriptions, which statement is true?

Accepted Answer

The value of expression $	ext R$ is greater than $35$ because  $\frac{6}{5} > 1$.

Answer

The value of expression $	ext R$ is greater than $35$ because  $\frac{6}{5} < 1$.

Answer

The value of expression $	ext S$ is greater than $35$ because  $\frac{3}{4} > 1$.

Answer

The value of expression $	ext S$ is greater than $35$ because  $\frac{3}{4} < 1$.

Question 10

The value of the expression shown below is $7.5$.

$\qquad 0.75(2+6	imes4-2	imes7-2)$

Each $2$ in the expression is changed to a $3$ to make a new expression. What is the difference in the values of the expressions?

Accepted Answer

$5.25$

Answer

$22.5$

Answer

$1$

Answer

$8.5$

Question 11

Which calculation is represented by the expression $(5 + 2) \div 9$?

Accepted Answer

divide the sum of five and two by nine

Answer

divide nine by the sum of five and two

Answer

divide two by nine, then add five

Answer

divide five by nine, then add two

Question 12

The four shapes shown below repeat to form a pattern.

The pattern continues. What is the 67th shape in the pattern?

Accepted Answer

https://uploads.quizalize.com/c0d8879f-e9d1-3202-e679-9f3875e01fd2/question/87c93b50-1692-0522-3652-c78522ebeb51.png

Answer

https://uploads.quizalize.com/c0d8879f-e9d1-3202-e679-9f3875e01fd2/question/3384f3eb-4ecb-4b3a-a5e6-f95190d7ea6d.png

Answer

https://uploads.quizalize.com/c0d8879f-e9d1-3202-e679-9f3875e01fd2/question/2c30fb20-1ef5-1964-5473-1657e7a7c6d7.png

Answer

https://uploads.quizalize.com/c0d8879f-e9d1-3202-e679-9f3875e01fd2/question/8837b884-36ac-0b1e-3c6b-d0c1ec68c8b2.png

Question 13

A company uses boxes with the dimensions shown below. The width is in INCHES. The length and height are in FEET.

What is the volume, in CUBIC INCHES, of each box?

Accepted Answer

$864 \,	ext{cubic inches}$

Answer

$600 \,	ext{cubic inches}$

Answer

$72 \,	ext{cubic inches}$

Answer

$6 \,	ext{cubic inches}$

Question 14

The line plot below shows the number of hours Mr. Jacobson spent writing for each of the last nine days.

What is the total number of hours Mr. Jacobson spent writing over the last nine days?

Accepted Answer

$34\frac{3}{4}$

Answer

$35$

Answer

$31$

Answer

$31\frac{6}{13}$

Question 15

A bar graph is shown below, but some of the information is missing.

Which title and axis labels would be MOST appropriate for the graph?

Accepted Answer

Title:  Voting Results
A:  Number of Voters
B:  Candidate

Answer

Title:  Airplane Elevation
A:  Elevation (feet)
B:  Time since Start (minutes)

Answer

Title:  Leo's Plants
A:  Type of Plant
B:  Average Height (inches)

Answer

Title:  Movie Tickets
A:  Number of Tickets
B:  Total Cost ($)

Question 16

The bottom of the rectangular prism shown below is covered by $1	ext{-inch cubes}$.

The height of the prism is $3	ext {inches}$. Which statement explains how to determine the volume, in cubic inches, of the rectangular prism?

Accepted Answer

Add two more layers of the number of cubes in the bottom layer: $15 + 15 + 15$.

Answer

Multiply the number of cubes in the bottom layer two more times: $15 	imes 15 	imes 15$.

Answer

Add $3$ to the number of cubes in the length and width of the bottom layer: $3 + 5 + 3$.

Answer

Multiply the number of cubes in the bottom layer by the length and width of the
bottom layer: $15 	imes 5 	imes 3$.

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