ESL Arithmetic Practice Test for the ACCUPLACER® test

Question 1

23.4 x 2.53 =

Accepted Answer

59.202

Answer

To multiply decimals, first multiply the numbers as if they were whole numbers: 234 x 253 = 59202. Next, count the total number of decimal places in the original numbers. 23.4 has one decimal place, and 2.53 has two decimal places, for a total of three. Therefore, place the decimal point three places from the right in the product, resulting in 59.202.

Question 2

Which of the following is the greatest?

Accepted Answer

0.67

Answer

To compare decimals, align them by their decimal points and compare the digits from left to right. For 0.62, 0.65, 0.67, and 0.668, all start with '0.6'. Comparing the next digit, we have 2, 5, 7, and 6. Since 7 is the largest of these digits, 0.67 is the greatest number among the choices.

Question 3

What percentage of 128 is 96?

Accepted Answer

75%

Answer

To find what percentage of 128 is 96, divide the part (96) by the whole (128) and then multiply by 100%. The fraction 96/128 simplifies to 3/4 by dividing both numerator and denominator by their greatest common divisor, 32. Converting 3/4 to a decimal gives 0.75, and multiplying by 100% yields 75%. Thus, 96 is 75% of 128.

Question 4

1.4 + 0.06 + 0.522 =

Accepted Answer

1.982

Answer

To add decimals, align the numbers vertically by their decimal points. It's helpful to add trailing zeros so all numbers have the same number of decimal places: 1.400 + 0.060 + 0.522. Then, add each column from right to left, carrying over when necessary. The sum of these numbers is 1.982.

Question 5

One angle of a triangle measures 30 degrees. Of the remaining two angles, the larger one is twice as large as the smaller one. What is the measure of the smaller angle?

Accepted Answer

50 degrees

Answer

The sum of angles in any triangle is 180 degrees. Given one angle is 30 degrees, the sum of the remaining two angles is 180 - 30 = 150 degrees. Let the smaller of the two remaining angles be 'x'. The larger angle is twice as large, so it is '2x'. Setting up the equation x + 2x = 150, we get 3x = 150, which means x = 50 degrees. Therefore, the smaller angle measures 50 degrees.

Accuplacer Practice Test

Accuplacer Practice Test

ESL Arithmetic Practice Test for the ACCUPLACER® test