2018 Test A Math

In the figure above, PQRS is a parallelogram. What is the value of x?

The owner of a tree farm plants pine trees and oak trees in a ratio of 8:3. How many oak trees are planted if 264 pine trees are planted?

For what value of w is 4w=2w-8?

A survey asked students what pets they have. Based on the results, the following statements are all true. 20 students have cats. 23 students have dogs. 3 students have both…

The sum of two consecutive integers is −15. If 1 is added to the smaller integer and 2 is subtracted from the larger integer, what is the product of the…

The set of possible values of m is { 5,7,9 }. What is the set of possible values of k if 2k=m+3?

7+(3n+6)-(4n+8)=

In a certain school, course grades range from 0 to 100. Adrianna took 4 courses and her mean course grade was 90. Roberto took 5 courses. If both students have…

Jenny starts a game with twice as many marbles as Keiko. Jenny gives Keiko 5 marbles, but she still has 10 more than Keiko. How many marbles did Jenny have…

In a scale diagram, 0.125 inch represents 125 feet. How many inches represent 1 foot?

PEOPLE PER VEHICLE AT CHECKPOINT Number of People in Vehicle Percent of Vehicles 1 40% 2 35% 3 15% 4 7% 5 or more 3% A researcher recorded the number…

In the pyramid above, each triangular face has the same area, and the base MNPQ is a square that measures 8 centimeters on each side. If the length of RS…

The perimeter of a rectangle is 510 centimeters. The ratio of the length to the width is 3:2. What are the dimensions of this rectangle?

Which number line below shows the solution to the inequality -4< x/2< 2?

1 dollar = 7 lorgs 1 dollar = 0.5 dalt Kevin has 140 lorgs and 16 dalts. If he exchanges the lorgs and dalts for dollars according to the rates…

A box of colored pencils contains exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7. How many of the pencils in the box…

The sum of the numbers x, y, and z is 50. The ratio of x to y is 1:4, and the ratio of y to z is 4:5. What is…

What is the area of the shaded region in the graph above?

In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are females who commute to work daily.…

Mrs. Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items, not including tax. What was the…

In a sample of 10 cards, 4 are red and 6 are blue. If 2 cards are selected at random from the sample, one at a time without replacement, what…

1 sind = 4 lorgs 2 plunks = 5 dalts 5 sinds = 2 harps 1 plunk = 3 harps A nation has five types of coins: sinds, dalts, lorgs,…

SCORES ON MATH QUIZ Score Number of Students 85 4 75 4 65 2 What is the mean score of the 10 students in the table above?

How many more people in Center City walk to work than ride their bicycle to work?

Which of the following numbers has factors that include the smallest factor (other than 1) of 91?

In a scale drawing of a triangular banner, one side measures 16 centimeters and the other two sides measure 12 centimeters each. On the actual banner, these two sides each…

The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the…

2 1/5+3 3/10+4 2/5+5 1/2 What is the value of the expression shown above?

A car is traveling 55 miles per hour, and 1 mile = 5,280 feet. Which of the following calculations would give the car’s speed in feet per second?

Today, Tien’s age is 1/4 of Jordan’s age. In 2 years, Tien’s age will be 1/3 of Jordan’s age. How old is Jordan today?

How many positive even factors of 48 are greater than 24 and less than 48?

The least of 5 consecutive integers is l, and the greatest is g. What is the value of l+g/2 terms of l?

Johan leased a car for three years. He paid a one-time fee of $1,000, and an additional $300 per month for the full three years. At the end of the…

There are 6 different cookies on a plate. Aiden will choose 2 of these cookies to pack in his lunch. How many different pairs of 2 cookies can he choose…

For a presentation, Deion can create 5 slides in 20 minutes, working at a constant rate. Kyra can create 3 slides in 10 minutes, working at her own constant rate.…

On the number line above, LN = 1/8. Point M (not shown) is located between point L and point N. Which value below is a possible value for M?

An unmarked straight stick will be laid end over end to measure a distance of exactly 72 feet. The same stick will be used in the same way to measure…

Ryan must read 150 pages for school this weekend. It took him 30 minutes to read the first 20 pages. At this rate, how much additional time will it take…

Suppose M=w/x, N=y/z, and w,x,y, and z do not equal 0. What is M/N in terms of w,x,y, and z?

In the set of consecutive integers from 12 to 30, inclusive, there are four integers that are multiples of both 2 and 3. How many integers in this set are…

The graph above shows the number of schools per city for five small cities. Cities M and N each have 500 students per school. City P has 400 students per…

A box contains 5 strawberry candies, 3 banana candies, and 2 orange candies. If Braden selects 2 candies at random from this box, without replacement, what is the probability that…

w/x=y/z In the equation above, w,x,y, and z are positive numbers. Which of these is equal to z?

On the number line above, points W, X, Y, and Z are integers, and WX:XY:YZ = 4:2:3. What is the value of WY?

A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the greatest allowable thickness of the…

SCORES ON BIOLOGY TEST Section Lowest Score Range I 65 28 II 62 25 III 67 22 Mr. Blake’s biology class is divided into three sections. The same test was…

If 3n is a positive even number, how many odd numbers are in the range from 3n up to and including 3n+5?

10/13=0.769230 In the infinitely repeating decimal above, 7 is the first digit in the repeating pattern. What is the 391st digit?

A car travels at 4,400 feet per minute. The radius of each tire on the car is 1 foot. How many revolutions does one of these tires make in 1…

100(2+0.1)^_2-100=

A sports store has a container of handballs: 4 blue, 5 red, 8 yellow, 9 white, and 11 green. If one ball is picked from the container at random, what…

Each week, Leon has fixed expenses of $1,250 at his furniture shop. It costs him $150 to make a chair in his shop, and he sells each chair for $275.…

Using the approximation 2.54 centimeters = 1 inch, how many centimeters are in 4 feet 7 inches?

On the number line above, JK=3 1/2, JM=9 3/4, and LM=1 1/8. What is the position of point L?

If 4x-3y=12, what is x in terms of y?

SERVINGS OF FRUITS AND VEGETABLES Number of Serving of Fruits and Vegetables Number of Students 0 5 1 7 2 3 3 4 4 0 5 1 There are 20…

A paste used to cover a billboard is made by mixing the following ingredients by weight: 4 parts powder, 3 parts water, 2 parts resin, and 1 part hardener. To…