Interpretation of Tables and Graphs

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SSAT Upper Level Quantitative › Interpretation of Tables and Graphs

Questions 1 - 10

The menu of a local coffeehouse reads as follows:

$\begin{matrix} \textrm{Espresso}; ; ; & \$1.79 \ \textrm{Cafe Latte} & \$2.19 \ \textrm{Cappucino} & \$2.29 \ \textrm{Americano} & \$2.39 \ \textrm{Turkish; ; } & \$2.09 \ \textrm{Iced Tea}; ; ; & \$1.59 \end{matrix}$

A boss is treating his employees to drinks. Seven of them want iced tea, five want cafe latte, four want espresso, three want cappucino, one wants Americano, and one wants Turkish coffee. How much will the boss spend, disregarding tax?

$\$40.59$

$\$38.81$

$\$42.68$

$\$45.07$

$\$ 42.98$

Explanation

Multiply each price by the quantity ordered:

Seven iced teas:

$$ 1.59 \times 7 = $ 11.13$

Five cafe lattes:

$$2.19 \times 5 = $ 10.95$

Four espressos:

$$1.79 \times 4 = $7.16$

Three cappucinos:

$$2.29 \times 3 = $6.87$

Add the $2.39 for the Americano and the $2.09 for the Turkish coffee. The sum:

$\begin{matrix} $11.13\ ; : 10.95\ ; ; ; 7.16\ ; ; ; 6.87\ ; ; ; 2.39\ \underline{; ; ;2.09}\$ 40.59 \end{matrix}$

The menu of a local coffeehouse reads as follows:

$\$40.59$

$\$38.81$

$\$42.68$

$\$45.07$

$\$ 42.98$

Explanation

Multiply each price by the quantity ordered:

Seven iced teas:

$$ 1.59 \times 7 = $ 11.13$

Five cafe lattes:

$$2.19 \times 5 = $ 10.95$

Four espressos:

$$1.79 \times 4 = $7.16$

Three cappucinos:

$$2.29 \times 3 = $6.87$

Add the $2.39 for the Americano and the $2.09 for the Turkish coffee. The sum:

$\begin{matrix} $11.13\ ; : 10.95\ ; ; ; 7.16\ ; ; ; 6.87\ ; ; ; 2.39\ \underline{; ; ;2.09}\$ 40.59 \end{matrix}$

Untitled

The above is an annual income tax table for married couples for a given state.

Mr. Phillips earned $27,287 last year; Mrs. Phillips earned $25,879. How much will the couple pay in income tax for that year (nearest hundred dollars)?

$\$700$

$\$1,200$

$\$400$

$\$300$

$\$900$

Explanation

The Phillips's income totaled

$$27,287+$25,879= \$53,166$ .

This puts them in the 1.3% tax bracket, so they will pay

$\$53,166 \times 0.013 = \$ 691.16$ in taxes.

The correct response is $700.

Untitled

The above is an annual income tax table for married couples for a given state.

Mr. Phillips earned $27,287 last year; Mrs. Phillips earned $25,879. How much will the couple pay in income tax for that year (nearest hundred dollars)?

$\$700$

$\$1,200$

$\$400$

$\$300$

$\$900$

Explanation

The Phillips's income totaled

$$27,287+$25,879= \$53,166$ .

This puts them in the 1.3% tax bracket, so they will pay

$\$53,166 \times 0.013 = \$ 691.16$ in taxes.

The correct response is $700.

What is the probability of rolling a single die and it landing on 2 and 4?

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{2 }$

Explanation

When you roll on die you can only get one possible value facing up. The expression "the probability of getting a 2 and 4" means that they both occur at the same time. Since you can not get two results with one die, the probability must be .

What is the probability of rolling a single die and it landing on 2 and 4?

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{2 }$

Explanation

Untitled

The above is an annual income tax table for married couples for a given state.

Mr. Clarke earned a monthly salary of $\$6,287$ throughout last year; Mrs. Clarke earned a monthly salary of $\$8,112$ , although she started on April 1. Also the couple claimed interest earnings of $\$7,448$ and $\$8,711$ in stock dividends. How much will the couple pay in income tax for that year (nearest dollar)?

$\$2,7 56$

$\$3,786$

The correct answer is not among the other choices.

$\$4,347$

$\$3,319$

Explanation

Mr. and Mrs. Clarke earned a total of

$$6,287 \times 12 +$8,112 \times 9 + $7,448 + $8,711$

(noting that Mrs. Clarke worked for nine months)

$= \$164,611$

This places them in the highest tax bracket, so they will pay $810 plus 2.3% of their income over $80,000:

$=\$810 + \left ($164,611 - $80,000 \right ) \times 0.023$

$=$810 + $84,611 \times 0.023$

$= \$2,7 56.05$

Round this to $2,756.

Scrabble

A popular word game uses one hundred tiles, each of which is marked with a letter or a blank. The distribution of the tiles is shown above, with each letter paired with the number of tiles marked with that letter. Notice that there are two blank tiles.

In the game, the four letters that are the most difficult to play are the "J", the "Q", the "X", and the "Z". John and Jane, who are in third grade, agree to remove these letters. After this is done, what percent of the letter tiles are marked with consonants (Note: "Y" counts as a consonant)?