Free NAEP Mathematics Grade 8 Questions and Answers

Question 1

Which of the following always represents an odd integer?

Accepted Answer

The product of two odd integers

Answer

Let's examine each option: The sum of three even integers is always even (e.g., 2+4+6=12). The sum of two odd integers is always even (e.g., 3+5=8). The product of two odd integers is always odd (e.g., 3*5=15). The product of two consecutive integers is always even (one must be even, e.g., 2*3=6). The sum of three consecutive integers can be odd or even (e.g., 1+2+3=6, 2+3+4=9). Thus, only the product of two odd integers always results in an odd integer.

Question 2

How many 200-milliliter portions of juice can be poured from a 2-liter pitcher?

Accepted Answer

10

Answer

First, convert the pitcher's volume from liters to milliliters. Since 1 liter equals 1000 milliliters, a 2-liter pitcher holds 2 * 1000 = 2000 milliliters. To find out how many 200-milliliter portions can be poured, divide the total volume by the size of each portion: 2000 ml / 200 ml = 10 portions.

Question 3

Take the temperature in degrees Fahrenheit, subtract 32 from it, and multiply the result by to get the temperature in degrees Celsius. How many degrees Celsius, to the nearest degree, does a furnace have to be at to reach 393 degrees Fahrenheit?

Accepted Answer

201

Answer

The problem provides the formula for converting Fahrenheit to Celsius: C = (F - 32) * (5/9). Substitute the given Fahrenheit temperature (393) into the formula: C = (393 - 32) * (5/9). This simplifies to C = (361) * (5/9) = 1805 / 9, which is approximately 200.55. Rounded to the nearest degree, the temperature is 201 degrees Celsius.

Question 4

Mario's math book weighs 5 pounds, her science book weighs 6, her history book weighs 4, and her English book weighs 3. How many various arrangements of one or more books can Li cram into her bag without the books' combined weight exceeding 12 pounds?

Accepted Answer

11

Answer

We need to list all combinations of books whose total weight does not exceed 12 pounds. Individual books (5, 6, 4, 3 lbs) are 4 combinations. Two-book combinations (5+6=11, 5+4=9, 5+3=8, 6+4=10, 6+3=9, 4+3=7) are 6 combinations. For three-book combinations, only Math+History+English (5+4+3=12) fits. All four books exceed 12 lbs. Summing these up, 4 + 6 + 1 = 11 various arrangements.

Question 5

The rate of ascent for an airplane is 66.8 feet per minute. It descends twice as quickly as it ascends. How many feet will the airplane descend in 30 minutes, presuming a constant rate of descent?

Accepted Answer

4008

Answer

First, determine the airplane's descent rate. It descends twice as quickly as it ascends, so its descent rate is 66.8 feet per minute * 2 = 133.6 feet per minute. To find the total distance the airplane will descend in 30 minutes, multiply the descent rate by the time: 133.6 feet/minute * 30 minutes = 4008 feet.

NAEP - National Assessment of Educational Progress Practice Test

NAEP - National Assessment of Educational Progress Practice Test

Free NAEP Mathematics Grade 8 Questions and Answers