Accuplacer Arithmetic Practice Test

The correct answer is (B). To find the total number of vans, we divide 39 by 4, which gives us a quotient of 9, with a remainder of 3. Since we cannot leave anyone on the team behind, we must have another van for the remaining 3 people. This gives us 9 + 1 = 10 total vans.

The correct answer is (C). To add decimals, vertically align the numbers so that the decimals are lined up. You can pad the shorter decimals by adding zeros to the end, and then add up the numbers:

$\begin{align} 3.1415& \\ \underline{+\quad 6.2500}& \\ 9.3915& \end{align}$

Since the question asks to round the sum to the nearest thousandth, we must look at the third digit after the decimal point which contains the digit 1. Since the number to the right of the digit 1 is 5, we must round the thousandths digit 1 up to 2. Thus, the correct answer is: $9.392$

The correct anser is (C). To solve this problem we can multiply $325$ by $0.24$ or by $\frac{24}{100}$:

$325 × \dfrac{24}{100} = \dfrac{7800}{100}$

$\require{enclose} \dfrac{78\enclose{horizontalstrike}{00}}{1 \enclose{horizontalstrike}{00}} = \dfrac{78}{1} = 78$

The correct answer is (B). In order to find out how many more cups Katy needs for her recipe, we must subtract 1$\frac{3}{8}$ from 2.

When subtracting fractions we need a common denominator. The number 2 can be written as $\frac{16}{8}$ and the number 1$\frac{3}{8}$ can be written as $\frac{11}{8}$:

$\dfrac{16}{8} - \dfrac{11}{8} = \dfrac{16 - 11}{8} = \dfrac{5}{8}$

The correct answer is (D). This question tests the student’s ability to estimate in order to arrive at the best possible answer. Round each number to the nearest hundred:

$1573 ≈ 1600$
$1211 ≈ 1200$
$697 ≈ 700$

The revised equation is:

$1600 + 1200 − 700 = 2100$

The correct answer is (A). Since there are 6 videos that are each 8.7 minutes long, we need to multiply 6 × 8.7 to get the total number of minutes:

$\begin{align} 8.7& \\ \underline{×\quad 6}& \\ 52.2& \end{align}$

The correct answer is (B). Sachin’s grade can be found by calculating:

$\dfrac{\text{Total Correct}}{\text{Total Problems}} × 100$

Substituting in 14 for the total number of problems correct, and 20 for the total number of problems, we get:

$\dfrac{14}{20} × 100$

The correct answer is (C). We know that $\frac{7}{3}$ is equivalent to $2 \frac{1}{3}$ since:

$\require{enclose} \begin{array}{rll} 2 & \hbox{r1} \\[-3pt] 3 \enclose{longdiv}{7}\kern-.2ex \\[-3pt] \underline{-6} \\[-3pt] \,1 \end{array}$

$2 \frac{1}{3}$ falls between $2$ and $3$ on the number line.

The correct answer is (C). Substituting in the given values for $a$, $b$, $c$, and $d$ in the inequality $a - d < b - c$, we get:

$1 - 15 < 3 - 8$

$-14 < -5$

This is a true statement.

The correct answer is (C). First write the fraction as a decimal:

$\frac{625}{1000} = 0.625$

The problem asks to round 0.625 to the nearest hundredths place. We must look at the hundredths digit which is 2, and the digit to the right of it, which is 5. Since the thousandths digit is equal to 5, we must increment the hundredths digit by 1. Therefore, 0.625 rounded up to the nearest hundredths place is 0.63.

The correct answer is (A). Use long division to solve this problem. As seen below, 582 divided by 3 equals 194 with no remainder:

$\require{enclose} \begin{array}{rll} 194 & \\[-3pt] 3 \enclose{longdiv}{582}\kern-.2ex \\[-3pt] -\underline{3\phantom{00}} \\ 28\phantom{0} \\ -\underline{27\phantom{0}} \\ \phantom{0}12 \\ -\underline{12} \\ \phantom{0}0 \\ \end{array}$

The correct answer is (A). To answer this question correctly, we must remember the order of operations (PEMDAS). We must complete multiplication and division moving from left to right. So first, we evaluate $\frac{1}{2} ÷ 36$, which is equivalent to:

$\dfrac{1}{2} × \dfrac{1}{36} = \dfrac{1}{72}$

The next step is:

$16 × \dfrac{1}{72} = \dfrac{16}{72}$

Finally, we must find the sum:

$\dfrac{1}{72} + \dfrac{16}{72} = \dfrac{17}{72}$

The correct answer is (B). We start by setting up our equation as:

$\dfrac{x}{100} × 70 = 28$

In order to isolate $x$, we first multiply both sides of the equation by 100, giving:

$70x = 2800$

Next, we divide both sides of the equation by 70, giving:

$x = 40$

Therefore, 40% of 70 is 28.

The correct answer is (B). First multiply 3.98 by 3 to figure out the total cost of the fudge:

$\begin{align} 3.98& \\ \underline{×\quad 3}& \\ 11.94& \end{align}$

Then subtract this amount from 20 to get the amount of change:

$\begin{align} 20.00& \\ \underline{-\quad 11.94}& \\ 8.06& \end{align}$

The correct answer is (D). We first start by finding how many times 6 goes into 28:

$\require{enclose} \begin{array}{rl} 4 & \text{r}4 \\[-3pt] 6 \enclose{longdiv}{28}\kern-.2ex \\[-3pt] \underline{-24} \\[-3pt] \,4 \end{array}$

So we can rewrite $\frac{28}{6}$ as $4\frac{4}{6}$, which can be simplified to $4\frac{2}{3}$.

The correct answer is (C). Use subtraction with regrouping to solve:

$\begin{align} 9.078& \\ \underline{-\quad 1.455}& \\ 7.623& \end{align}$

The correct answer is (B). First convert the mixed fraction to an improper fraction. $8\frac{7}{11}$ is equivalent to $\frac{95}{11}$. Now write out the division problem:

$\dfrac{95}{11} ÷ \dfrac{5}{11}$

To divide fractions turn the the division sign into a multiplication sign and flip the second fraction over (find its reciprocal):

$\dfrac{95}{11} × \dfrac{11}{5} = \dfrac{95}{5} = 19$

The correct answer is (D).

We know that half of 11 is 5.5, so $\frac{5}{11}$ is less than $\frac{1}{2}$.

We know that half of 9 is 4.5, so $\frac{6}{9}$ is greater than $\frac{1}{2}$.

$\dfrac{5}{11} < \dfrac{6}{9}$ is therefore true.

The correct answer is (D). To multiply decimals, line up the numbers on the right (do not align the decimal points). Then starting on the right, multiply each digit of the top number by each digit of the bottom number. Then add the products:

$\begin{align} 3.17& \\ \underline{×\quad 2.8}& \\ 2536 \\ \underline{+\quad 634\phantom{0}}& \\ 8.876& \end{align}$

Once you add the products, you must place the decimal point correctly. There are two decimal places in 3.17 and one decimal place in 2.8. Adding these decimal places together gives 3. Starting at the right of our answer move 3 places to the left and put the decimal point there.

The correct answer is (B). Add the two numbers in the numerator and then divide. Dividing by half (0.5) is the same and multiplying by 2:

$\dfrac{3.65 + 4.75}{0.5} = \dfrac{8.4}{0.5} = 16.8$