FREE Standardized Achievement Mathematics Test Question and Answer

Question 1

A automobile gets 27 miles per gallon on average. Which of the following best approximates how much gas would cost for this automobile to travel 2,727 average miles at a price of $4.04 per gallon?

Accepted Answer

$408.04

Answer

To calculate the total cost, first determine the total gallons of gas needed by dividing the total miles (2,727) by the car's mileage (27 miles/gallon), which equals 101 gallons. Then, multiply the total gallons (101) by the price per gallon ($4.04). This results in a total cost of $408.04.

Question 2

How much does the value of 3x2 - 2y surpass the value of 2x2 - 3y when x = 3 and y = 5?

Accepted Answer

14

Answer

First, substitute x=3 and y=5 into the expression 3x² - 2y: 3(3)² - 2(5) = 3(9) - 10 = 27 - 10 = 17. Next, substitute into 2x² - 3y: 2(3)² - 3(5) = 2(9) - 15 = 18 - 15 = 3. Finally, subtract the second value from the first: 17 - 3 = 14.

Question 3

When 2x + 3 Equals 3x - 4 what is the value of x?

Accepted Answer

7

Answer

To solve the equation 2x + 3 = 3x - 4 for x, first subtract 2x from both sides, yielding 3 = x - 4. Then, add 4 to both sides of the equation. This isolates x, giving you x = 7.

Question 4

What do 42, 126, and 210 have in common most?

Accepted Answer

42

Answer

To find what 42, 126, and 210 have in common most, we need to find their greatest common divisor (GCD). Factoring each number gives: 42 = 2 * 3 * 7, 126 = 2 * 3² * 7, and 210 = 2 * 3 * 5 * 7. The common prime factors are 2, 3, and 7, so their product, 2 * 3 * 7 = 42, is the greatest common divisor.

Question 5

A company's revenues increased by $3 million from the first to the second year, and they doubled from the third to the second year. What were sales in millions of dollars for the first year if sales for the third year were 38 million?

Accepted Answer

16

Answer

Let S1, S2, and S3 represent sales for the first, second, and third years. We are given S3 = 38 million. Since sales doubled from the second to the third year, S3 = 2 * S2, so S2 = 38 / 2 = 19 million. Sales increased by $3 million from the first to the second year, meaning S2 = S1 + 3. Therefore, S1 = S2 - 3 = 19 - 3 = 16 million.

Achievement Test Practice Test

Achievement Test Practice Test

FREE Standardized Achievement Mathematics Test Question and Answer