Combo with ASVAB Math and 3 others

D

(5+3) * (2+1) * (10/20) + 5 = ? (A) 48 (B) 53 (C) 12 (D) 17

C

A barrel with flat sides (i.e., a cylinder) has a height of 36 inches and a radius of 15 inches. About how many gallons of liquid can it hold? (There are 231 cubic inches in a gallon; use 3.14 for the value of pi.) (A) 7.3 gallons (B) 35 gallons (C) 110.1 gallons (D) 264.3 gallons

D

A cylindrical post has a cross-section that is a circle with a radius of 3 inches. A piece of cord can be wound around it exactly 7 times. How long is the piece of cord? (Use 22/7 as the value of pi) (A) 66 inches (B) 42 inches (C) 198 inches (D) 132 inches

C

A floor is made up of hexagonal tiles, some of which are black and some of which are white. Every black tile is completely surrounded by white tiles. How many white tiles are there around each black tile? (A) 4 (B) 5 (C) 6 (D) 8

D

A girls' softball team won 70% of the 40 games it played. How many games did it lose? (A) 28 (B) 30 (C) 22 (D) 12

B

A naval task force is to be made up of a destroyer, a supply ship, and a submarine. If 4 destroyers, 2 supply ships, and 3 submarines are available, how many different combinations are possible for the task force? (A) 9 (B) 24 (C) 8 (D) 12

B

A pecan tree 36 feet high casts a shadow 8 feet long. At the same time of day, a nearby mesquite tree casts a shadow 6 feet long. How tall is the mesquite tree? (A) 30 feet (B) 27 feet (C) 24 feet (D) 32 feet

C

A postal carrier can deliver mail to about 900 addresses in one day. In the city of Hewitt, there are 26,942 residents. Workforce policies require hiring 5 percent more carriers than are estimated in order to compensate for vacation, sick days, and so on. About how many mail carriers must be hired to deliver mail to all of the Hewitt citizens each day? (A) 29 (B) 30 (C) 31 (D) 32

B

A private pilot needs to calculate how much fuel is needed for an upcoming trip of his vintage Waco biplane. The biplane's Jacobs B2M radial engine consumes about 15 gallons per hour at the aircraft's cruising speed of 120mph, and about 18 gallons per hour at speeds above 200mph. The plane will take off from Love Field General Aviation in Fort Worth, Texas, and fly 120 miles at cruising speed and then for 30 minutes near its top speed of 214mph. If the pilot must put in enough fuel for the trip plus an additional 5 gallons, how much fuel is needed? (A) 21.5 gallons (B) 29.0 gallons (C) 38.0 gallons (D) 48.5 gallons

B

A quadrilateral is a parallelogram only if (A) It has 4 equal sides and 4 right angles (B) Both of its 2 pairs of opposite sides are parallel (C) It has at least 1 pair of parallel sides (D) It has at least 2 right angles

A

Although a total of 131 soldiers are authorized for an infantry company, B Company (Bulldogs), 3rd Battalion, 144th Infantry Regiment, has only 120 soldiers assigned, of whom 5% are officers. How many enlisted soldiers are assigned to the company? (A) 114 (B) 123 (C) 120 (D) 121

C

Amanda is working as a hostess at a local restaurant until she graduates from college. She receives an equal cut of a 10% tip share (calculated on total sales) split on an hourly basis between the hostesses and busboys. Amanda also receives her hourly wage of $3.13 an hour. The restaurant sale's were $7,874 for a 7-hour shift that 3 hostesses and 2 busboys all worked from open to close. How much tip share did the busboys receive together on their shift? (A) $157.48 (B) $179.39 (C) $314.96 (D) $472.44

A

Danny is comparing the prices of tuxedos for his prom. A rental tuxedo costs $70, while a new tuxedo costs $120. Danny is thinking about having to have a tuxedo for next year's prom as well. Keeping this in mind, how much money will Danny save if he uses the same suit two years in a row? Assume that he will have to pay $4.50 to dry clean it before next year's prom. (A) $15.50 (B) $20.00 (C) $20.50 (D) $35.00

C

During 1 season, a college football quarterback attempted 439 passes and completed 267 of them for a total of 3,217 yards. What is his completion percentage? (A) 13.6% (B) 54.2% (C) 60.8% (D) 62.8%

C

Express 6/4 as a percentage (A) 50% (B) 75% (C) 150% (D) 225%

A

For a special mission, one soldier is to be chosen at random from among 3 infantrymen, 2 artillerymen, and 5 tank crewmen. What is the probability that an infantryman will be chosen? (A) 3/10 (B) 1/10 (C) 1/3 (D) 3/7

B

Heather bought a rectangular Afghan rug with a perimeter that measures 36 feet. If the long sides measure 12 feet each, how long is each short side of the rug? (A) 4 feet (B) 6 feet (C) 10 feet (D) 12 feet

B

How many 4oz candy bars are there in a 3lb package of candy? (A) 9 (B) 12 (C) 16 (D) 24

C

If 1 pound of mesquite-smoked, deli-sliced turkey breast cost $7.98 at the second-largest grocery store in town, and each slide is about 1 ounce, what is the cost of 5 slices?

C

If 2x -3 = 37, what is the value of x? (A) 17 (B) 38 (C) 20 (D) 80

1/250=m/1,250 (1,250×)1/250=m/1,250(×1,250) 1,250/250=m m=5

If the scale on a road map is 1inch=250 miles, how many inches would represent 1,250 miles?

C

If x^2 + x = 6, what is the value of x (A) 6 or -1 (B) 1 or -6 (C) 2 or -3 (D) 3 or -2

C

In a steakhouse, a guest orders a small steak entree with vegetables for $12.50, dessert for $3.50, and coffee for $1.49. If the tax on meals is 8.25%, what tax should be added to his check? (A) $1.03 (B) $1.40 (C) $1.44 (D) $1.74

D

In the drawing below, which angles are alternate interior angles, and are they congruent? (A) Angles 1 and 4 and angles 5 and 8; yes (B) Angles 2 and 3 and angles 6 and 7; yes (C) Angles 3 and 5 and angles 4 and 6; no (D) Angles 3 and 6 and angles 4 and 5; yes

B

Jolie Marie has a 25-year term life insurance policy for $100,000. The annual premium is $15.00 per thousand. What is the total premium paid for this policy every 6 months? (A) $600 (B) $750 (C) $1,200 (D) $1,500

C

Jonathan spent 4 hours studying, 1 hour raking leaves, 30 minutes doing laundry, and 2 hours watching TV. What percentage of his time was spent studying? (A) 46.6% (B) 50.0% (C) 53.3% (D) 57.1%

C

Jonathan wants to find the average number of miles traveled per day on his 3-day road trip. Since he is an engineer, he decides to set up the problem algebraically. If he drove A miles the first day, B miles the second day, and C miles the third day, what is the formula for the average number of miles driven per day? (A) 3abc (B) 3(a+b+c) (C) (a+b+c)/3 (D) (a+b+c)^3

D

June found a chandelier for the dining room for $1,399. However, since the model has been discontinued and the display had no factory packaging material, the store manager discounted the price to $1,149. What was the percentage of the reduction? (A) 10.8% (B) 12.9% (C) 14.1% (D) 17.9%

C

June found a pair of red heels regularly priced at $120. The ones she found were priced at $54, while all of the other boxes of the same shoes were sale priced at $67. Since June is going to buy this particular pair of shoes, she wants to calculate the extra amount that she saved compared to the correct sale price. What is the difference between her mispriced shoes and the sale price of the shoes? (A) 44.2% (B) 55.0% (C) 10.8% (D) 14.0%

D

Multiply 7a^3b^2c by 3a^2b^4c^2 (A) 10a^5b^6c^3 (B) 21a^5b^6c^2 (C) 21a^6b^8c^2 (D) 21a^5b^6c^3

B

Of 128 dogs at a dog show, 50% were female. Among these females, 3 out of 4 were over the age of 4. How many of the dogs were females 4 years old or older? (A) 64 (B) 48 (C) 16 (D) 32

B

One section of the front lawn of the Walker family's house is 21 feet wide and 39 feet long. How much will it cost to weed and feed it if Ace Gardening Service charges $0.40 per square yard for this treatment? (A) $109.20 (B) $36.40 (C) $327.60 (D) $24.00

C

Over the course of the 6-week grading period, Jaycie took 5 tests for her Social Studies class; the teacher told her that her average for all 5 tests was 91. That night at home, she could remember only her 1st 4 scores: 88, 86, 94, and 96. What was her score on the 5th test? (A) 88 (B) 90 (C) 91 (D) 92

A

Simplify the expression [(x^2)y](2x - 3y) (A) 2(x^3)(y) - 3(x^2)(y^2) (B) 2(x^2)(y) - 2(x^3)(y^2) (C) 2(x^3)(y) - 2(x^2)(y^3) (D) 2(x^3)(y) + 3(x^3)(y^2)

B

Solve for z: 4z + 3 - 5z = 28 - 3z (A) z = -9 (B) z = 14 (C) z = -28 (D) z = 17

A

Solve the following equation for y: ay - bx = 2 (A) (2 + bx) / a (B) 2 + bx - a (C) 2 / (a - bx) (D) (2 / a) - bx

A

Solve the following equation: (8 + 2 - 3)(7 - 9)^2 (A) 28 (B) -28 (C) 14 (D) -32

A

Solve the following equation: -6.1 * -8.05 (A) 49.105 (B) -56.35 (C) -49.105 (D) 51.85

B

The base of a cylindrical can is a circle whose diameter is 2 inches, and whose height is 7 inches. How many cubic inches are there in the volume of the can? (Use 22/7 for the value of pi) (A) 12 4/7 cubic inches (B) 22 cubic inches (C) 44 cubic inches (D) 88 cubic inches

B

The fuel tank of a gasoline generator has enough capacity to operate the generator for an hour and 15 minutes. About how many times must the fuel tank be filled to run the generator from 6h15pm to 7h00am? (A) 9.4 (B) 10.2 (C) 10.8 (D) 11.5

B

The points A(2,7) and B(5,11) are plotted on coordinate graph paper. What is the distance from A to B? (A) 7 (B) 5 (C) 25 (D) 14^(1/2)

D

The value of 164^(1/2) to the nearest integer is (A) 18 (B) 42 (C) 26 (D) 13

C

The value of 8^0 is (A) 8 (B) 0 (C) 1 (D) 1/8

C

Travis invests $5,000 at 4% annual interest. How much more must he invest at the same rate to insure that his annual income from both investments exceeds $700? (A) $9,750 (B) $10,000 (C) $12,500 (D) $14,750

A

What is the area of a circle whose diameter is 28 inches? Use 22/7 for the value of pi. (A) 616 square inches (B) 88 square inches (C) 44 square inches (D) 1,232 square inches

B

What is the fifth term of the series 2 5/6, 3 1/2, 4 1/6, 4 5/6, ...? (A) 5 1/6 (B) 5 1/2 (C) 5 5/6 (D) 6 1/6

A

What is the maximum number of boxes, each measuring 3 inches by 4 inches by 5 inches, that can be packed into a storage space measuring 1 foot by 2 feet by 2 feet, 1 inch? (A) 120 (B) 60 (C) 75 (D) 98

D

What is the value of the expression x^2 - 5xy + 2y if x=3 and y=-2? (A) -25 (B) -27 (C) 32 (D) 35

D

What is the volume of a camping trailer that is 23 feet long, 15 feet wide, and 11 feet high? (A) 2,530 square feet (B) 2,950 cubic feet (C) 3,295 square feet (D) 3,795 cubic feet

C

Which of the following is a binomial? Example 1: 2(x^4) + 7(x^3) Example 2: 2 + 3 Example 3: 3x - 2 Example 4: 4ab - 5(a^3)(b^2) (A) Example 1 (B) Examples 1 and 4 (C) Examples 1, 3, and 4 (D) All examples are binomials

D

Which of these is an example of similar figures in the geometric sense? (A) A soccer ball and a football (B) A right triangle and an isosceles triangle (C) A bicycle and a tricycle (D) A sailing ship and a scale model of that ship

360°, any arc that isn't a complete circle measures less than 360°

a circle has ___ degrees

rate

a fixed quantity,a 5% interest rate for example

base

a number that's used as a factor at least two times-its a number raised to an exponent. for example the base of 4³ is 4

90°

a right angle is exactly ___°

a quadrilateral

a shape with four sides, has angles that add up to 360°

exponent

a shorthand method of indicating repeated multiplication, for example 15×15 can also be expressed as 15²

180°

a straight line is ___°

prime number

a whole number that can be divided evenly by itself and by 1 but not by any other number

composite number

a whole number that can be divided evenly by itself and by 1, as well as by one or more other whole numbers

order of operations step 4

addition and subtraction are last

0°, 90°

an acute angle is more than ___° but less than ___°

quadratic equation

an equation that includes the square of a variable

90°, 180°

an obtuse angle is more than ___° but less than ___°

integer

any positive or negative whole number or zero, such as −6, 0, 27

degrees and (not very often) minutes or even seconds, 1 degree equals 60 minutes, and 1 minute equals 60 seconds

arcs of a circle and angles are measured in

triangle

consists of three straight side whose three angles always add up to 180°

rate formula

distance ÷ time

to change a fraction into a decimal

divide the numerator by the denominator

to change a percent to a decimal

drop the percent sign and move the decimal point two places to the left, adding zeros as needed.

order of operations step 2

exponents come next

right triangle

has one right angle, therefore the remaining two angles are complementary

equilateral triangle

has three equal sides, each of the angles measures 60°

dividing the number of miles by the amount of gas

how do you figure out your gas mileage

pythagorean theorem

if you know the lengths of two sides of a right triangle, you can determine the length of the thrid side using the formula a² ⁺ b² = c², where a and b represent the legs and c is the hypotenuse

factor

integers (whole numbers) that can be divided evenly into another integer, To factor a number, you simply determine the numbers that you can divide into it.

factorial

is represented by an exclamation point, you calculate a factorial by finding the product of (multiplying) a whole number and all the whole numbers less than it down to 1, so 6 factorial is 6×5×4×3×2×1

to change a decimal into a percent

move the decimal point two spaces to the right and add a percent sign, for example 0.6 becomes 60%

order of operations step 3

multiplication and division

order of operations step 1

parentheses take precedence, you should do everything contained in parentheses first

simple interest formula

principle (the initial amount invested) × rate × time

distance formula

rate (speed) × time

ratio

shows a relationship between two things, if Margaret invested in her tattoo parlor at a 2:1 ratio to her partner Julie, then Margaret put in $2 for every $1 that Julie put in

√

square root: radical sign

3×3×3

the cube root of 27

square root

the factor of a number that when multiplied by itself produces the number

2×2×2×2

the fourth root of 16

reciprocal

the number by which another number can be multiplied to produce 1, if you have a fraction its reciprocal is that fraction turned upside down

square root

the number that, when multiplied by itself equals the original number, for example the square root of 36 is 6, if you square 6 or multiply it by itself you produce 36

dividing a fraction

the same thing as multiplying it by the inverse (reciprocal) of that number

hypotenuse

the side opposite the right angle which is the longest side of a right triangle

1/2bh or the ___ of a triangle is 1/2 the product of the base and the height

to find the area of a triangle

add together the lengths of the three sides

to find the perimeter of a triangle

supplementary angles are

two angles that equal 180° when added together

complementary angles are

two angles that equal 90° when added together

sum

when you add two numbers together, you arrive at a

quotient

when you divide, you're left with a

product

when you multiply, you come up with a

difference

when you subtract, all that remains is a

irrational numbers

whole numbers that have square roots that are decimals that go on forever and have no pattern that repeats