Question 1

Aubrey has a shelf full of books.

$\quad\bullet\enspace$ Exactly $\frac{1}{3}$ of the books on the shelf are mysteries.
$\quad\bullet\enspace$ Aubrey has read $10$ of the mysteries on the shelf.
$\quad\bullet\enspace$ The number of mysteries Aubrey has read is greater than  $\frac{1}{5}$ of the number of
mysteries on the shelf and less than $\frac{1}{4}$ of the number of mysteries on the shelf.

Which could be the number of books on the shelf?

Accepted Answer

$147$

Answer

$150$

Answer

$142$

Answer

$120$

Question 2

Stephen has $\frac{1}{2}$ gallon of a chemical. He wants to put an equal amount of the chemical into each of $4$ containers, using all of the chemical. Stephen wants to find the fraction of a gallon that will be in each container. Which equation correctly represents Stephen's problem?

Accepted Answer

$\frac{1}{2}\div4=\frac{1}{8}$

Answer

$4	imes2=8$

Answer

$4\div\frac{1}{2}=2$

Answer

$\frac{1}{2}	imes4=2$

Question 3

An after-school program has 24 sports video games students can play after they finish their homework. There are three types of sports games.
football: $\frac{1}{6}$ of $\frac{1}{2}$ of the video games
basketball: $\frac{1}{4}$ of $\frac{2}{3}$ of the video games
soccer: the remaining video games
How many video games are soccer games?

Accepted Answer

18

Answer

4

Answer

2

Answer

20

Question 4

An expression is shown below.
$5 	imes 1 \frac {1}{12}$
Which has the same value as the expression?

Accepted Answer

$(1+1+1+1+1)+(\frac {1}{12}+\frac {1}{12}+\frac {1}{12}+\frac {1}{12}+\frac {1}{12})$

Answer

$5 +( 1+\frac {1}{12})$

Answer

$1+(\frac {1}{12}+\frac {1}{12}+\frac {1}{12}+\frac {1}{12}+\frac {1}{12})$

Answer

$(1+1+1+1+1)+(\frac {1}{12})$

Question 5

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: $20\frac{17}{20}\,	ext{inches}$

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