ASVAB Arithmetic Reasoning Practice Test 428715 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.42
Score	0%	68%

Review

Which of the following is a mixed number?

82% Answer Correctly

	$1 {2 \over 5} $
	${a \over 5} $
	${5 \over 7} $
	${7 \over 5} $

Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form ${a \over b}$ where a is the numerator and b is the denominator. An improper fraction (${5 \over 3} $) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number ($1 {2 \over 3} $) which has a whole number part and a fractional part.

The total water usage for a city is 30,000 gallons each day. Of that total, 11% is for personal use and 28% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	4,950
	5,100
	11,200
	2,600

Solution

28% of the water consumption is industrial use and 11% is personal use so (28% - 11%) = 17% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes $ \frac{17}{100} $ x 30,000 gallons = 5,100 gallons.

Roger loaned Betty $600 at an annual interest rate of 3%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly

	$606
	$648
	$624
	$618

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $600
i = 0.03 x $600

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $600 + $18
total = $618

What is -3c² + 2c²?

66% Answer Correctly

	-c²
	5c²
	-c⁴
	-5c²

Solution

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-3c² + 2c²
(-3 + 2)c²
-c²

A bread recipe calls for 3$\frac{1}{2}$ cups of flour. If you only have $\frac{1}{8}$ cup, how much more flour is needed?

62% Answer Correctly

	2 cups
	1$\frac{3}{8}$ cups
	1$\frac{5}{8}$ cups
	3$\frac{3}{8}$ cups

Solution

The amount of flour you need is (3$\frac{1}{2}$ - $\frac{1}{8}$) cups. Rewrite the quantities so they share a common denominator and subtract:

($ \frac{28}{8} $ - $ \frac{1}{8} $) cups
$ \frac{27}{8} $ cups
3$\frac{3}{8}$ cups

	\(1 {2 \over 5} \)
	\({a \over 5} \)
	\({5 \over 7} \)
	\({7 \over 5} \)

	2 cups
	1\(\frac{3}{8}\) cups
	1\(\frac{5}{8}\) cups
	3\(\frac{3}{8}\) cups