Math OAR Practice Questions

Two office workers have been assigned to address 750 envelopes. One addresses twice as many envelopes per hour as the other. If it takes five hours for them to complete the job, what was the rate of the slower worker ? a. 50 envelopes per hour b. 75 envelopes per hour c. 100 envelopes per hour d. 124 envelopes per hour e. 150 envelopes per hour

a. 50 envelopes per hour

If 2x^2= -4x^2+216, what is the value of x? a. 4 b. 5 c. 6 d. 7

c. 6

3^n=9, what is the value of 4^n+1 ? a. 24 b. 48 c. 64 d. 108

c. 64

Solve for x in the following inequality: 4x+23>-3x-6 a. x>-4.14 b. x<-4.14 c. x>4.14 d. x<4.14

c. x > 4.14

The price of a one-hundred-dollar item after successive discounts of 10% and 15% is a. $75.00 b. $75.50 c. $76.00 d. $76.50 e. $77.00

d. 76.50

Simply the following expression: (2x^4)^3+2(y^5)^5 a. 8x^64+2y^3125 b. 6x^7+2y^10 c. 6x^12+2y^25 d. 8x^12+2y^25

d. 8x^12 + 2y^25

3.47 x 10^-2 is equal to a. 347 b. 34.7 c. 3.47 d. 0.347 e. 0.0347

e. .0347

The floor area in a Navy warehouse measures 200 feet by 200. What is the maximum safe floor load if the maximum weight the floor area can hold is 4000 tons? a. 100 pounds per square foot b. 120 pounds per square foot c. 140 pounds per square foot d. 160 pounds per square foot e. 200 pounds per square foot

e. 200 pounds per square foot

A pole 63 feet long was broken into two unequal parts so that 3 5 the shorter piece. Find the length of the longer piece. a. 33 feet b. 33 ½ c. 34 feet d. 34 ½ e. 35

e. 35 feet

When 550 gallons of oil are added to an oil tank that is 1/8 full, the tank becomes ½ full. The capacity of the oil tank is most nearly a. 1,350 gals b. 1,390 gals c. 1,430 gals d. 1,470 gals e. 1,510 gals

d. 1,470 gals

10^x divided by 10^y equals a. 10^x/y b. 10^xy c. 10^x+y d. 10^x-y

d. 10^x-y

If a triangle of base 6 has the same area as a circle of radius 6, what is the altitude of the triangle? a. 6π b. 8π c. 10π d. 12π

d. 12π

Assume that it takes an average of 3 man-hours to stack 1 ton of a particular item. In order to stack 36 tons in 6 hours, the number of persons required is a. 9 b. 12 c. 15 d. 18 e. 21

d. 18

A rectangular flower bed whose dimensions are 16 yards by 12 yards is surrounded by a walk 3 yards wide. The area of the walk is a. 93 square yards b. 96 square yards c. 144 square yards d. 204 square yards e. 244 square yards

d. 204 square yards

What is the square root of 16 raised to the fourth power? a. 16 b. 64 c. 128 d. 256

d. 256

One printing press can do a job in 8 hours. Another printing press can do the same job in 12 hours. How long would it take both presses, working together, to do the job? a. 4 hours 12 minutes b. 4 hours 24 minutes c. 4 hours 36 minutes d. 4 hours 48 minutes e. 5 hours

d. 4 hours 48 minutes

Find the area of a square circumscribed about a circle whose radius is 10. a. 31 3/7 b. 62 6/7 c. 100 d. 400

d. 400

A 6 foot-tall farmer wants to determine the height of his barn. He notices that his shadow is 10 feet long and his barn casts a shadow 75 feet long. How high is the barn? a. 30 feet b. 35 feet c. 40 feet d. 45 feet

d. 45 feet

If the entrance requirement of a certain college is 82, what mark must a student have in Geometry (weight 2) to be able to enter if his other marks are English 88 (weight 3); Spanish 78 (weight2), and History 80 (weight 2)? a. 83 b. 82 c. 81 d. 79

d. 79

Eight hundreds persons are employed by the Metropolitan Transit Authority. One quarter of the employees are college graduates; 5 6 of the remainder are high school graduates. What part of the total number of employees never graduated from high school? a. 1/8 b. 1/6 c. ¼ d. 5/6 e. 7/8

a. 1/8

A room 27 feet by 32 feet is to be carpeted wall to wall. The width of the carpet is 27 inches. The length, in yards, of the carpet needed for this room is a. 128 b. 256 c. 384 d. 648 e. 1188

a. 128 yds

The hour hand of a clock is 3 feet long. How many feet does the tip of this hand move between 1:00pm and 5:00pm? a. 2π b. 4π c. 6π d. 8π

a. 2π

Successive discounts of 20% and 15% are equivalent to a single discount of a. 32% b. 33% c. 34% d. 35%

a. 32%

In a 3-hour examination of 320 questions, there are 40 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems? a. 40 minutes b. 45 minutes c. 50 minutes d. 55 minutes

a. 40 minutes

A pound of margarine contains four equal sticks of margarine. The wrapper of each stick has markings which indicate how to divide the stick into eight sections, each section measuring one tablespoon. If a recipe calls for four tablespoons of margarine, the amount to use is a. 1/16 lb b. 1/8 lb c. ¼ lb d. ½ lb e. ¾ lb

b. 1/8 lb

10^3 x 10^5 = a. 10^2 b. 10^8 c. 10^15 d. 10^35

b. 10^8

If a circle has a diameter of 12cm, what its area? a. 38cm2 b. 113cm2 c. 276cm2 d. 452cm

b. 113cm2

A naval detachment has enough rations to feed sixteen people for 10 days. If four more people join the detachment, for how many fewer days will the rations last? a. 1 b. 2 c. 3 d. 4

b. 2 days

A Navy recruiting station enlisted 560 people. Of these, 25% were under 20 years old and 35% were 20 to 22 years old. How many of the recruits were over 22 years old? a. 196 b. 224 c. 244 d. 280 e. 336

b. 224

If the volume of a cube is 8cm^3 ,what is the length of the cube? a. 1cm b. 2cm c. 3cm d. 4cm

b. 2cm

3x^2y+y/2-6x If x=4 and y=10, what is the value of the expression a. 221 b. 461 c. 872 d. 1916

b. 461

The two children weighing 60 pounds and 80 pounds, respectively, balance a seesaw. How many feet from the fulcrum must the heavier child sit if the lighter child is 8 feet from the fulcrum? a. 4 ½ b. 6 c. 7 ½ d. 9 e. 10 ½

b. 6

A room measuring 15 feet wide, 25 feet long, and 12 feet high is scheduled to be painted shortly. If there are two windows in the room, each 7 feet by 5 feet, and a glass door, 6 feet by 4 feet, then the area of wall space to be painted measures a. 842 square feet b. 866 square feet c. 901 square feet d. 925 square feet e. 4,406 square feet

b. 866 square feet

One recruit can complete a certain assignment in 40 minutes; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together? a. 12 minutes b. 18 minutes c. 24 minutes d. 30 minutes

c. 24 minutes

A family drove from New York to San Francisco, a distance of 3,000 miles. They drove 1 10 the distance the first day and 1 9 left to be driven? a. 2,200 miles b. 2,300 miles c. 2,400 miles d. 2,500 miles

c. 2400 miles

If w=7, calculate the value of the following expression: 8w^2-12w+(4w-5)+6 a. 279 b. 285 c. 337 d. 505

c. 337