2026 Practice Test D Math

What is the prime factorization of 3,575?

What is the value of z in x/10 + y – x/5 = z/10?

Two sets, R and S, are described below. The sum of the elements in set R equals the sum of the elements in set S. R = {5, x, 3,…

If x = 1/4, what is the value of 2/2 – x?

In a school raffle, 1 out of every 25 students wins a prize. Each prize includes a randomly selected trading card from a set of 100 different cards, labeled C1…

The cost of shipping a package is $12, plus $2 for each additional pound over 3 pounds. Which expression represents the total cost, in dollars, of shipping a package that…

A middle school library has a shelf with 40 books, each labeled with a different number from 201 to 240. One book is selected at random. What is the probability,…

A square metal plate has a side length of 3 inches. A circular hole with a diameter of 2 inches is cut out from the center of the plate. What…

Let m be a negative integer and k be a positive integer. Which of the expressions below must result in a positive value? Select the three correct answers.

2x + 11 > 3x + 9 For what values of x is the above inequality true?

In a scale drawing of a triangular park, the sides measure 5 inches, 7 inches, and 8 inches. The perimeter of the actual park is 25 miles. What is the…

P is the center of the circle above, and R, S, and T are points on the circle. What is the value of x?

In the right triangle shown above, what is the measure of the smallest angle?

James must read 84 pages of a book for a class assignment. If he reads 1/4 of the pages in the morning and 1/3 of the remaining pages in the…

1/11 + 1/22 + 1/33 What is the value of the expression shown above?

The table shows the proportional relationship between x cups of oatmeal and y ounces of raisins in a bread recipe. BREAD RECIPE Cups of Oatmeal (x) Ounces of Raisins (y)…

At Midville High School, 64 students are members of either the orchestra or the choir, or both. Of these students, 38 are members of the orchestra, and 46 are members…

Which of the following decimals is equivalent to 1 2/3 + 2 4/9?

A store manager purchases a piece of furniture for $456.00. To determine the selling price, the manager increases the purchase cost by 125%. A customer buys the furniture and pays…

What is the value of -9(-4)^2 + 36(-4) + 304-4?

Maxie borrowed $7.75 from her mother, $11.00 from her father, and $4.50 from her brother to purchase a video game. Her grandmother gave her $25.00 as a gift. How much…

Seth grows strawberries in his garden. He picked 2 1/2 cups of strawberries on Monday. He picked 4 cups of strawberries on Tuesday. He ate 3/4 cup of strawberries for…

Which situation involves quantities that combine to equal zero?

An athlete runs 1/8 kilometer in 3/4 minute. At this rate, how many kilometers would the athlete run in 1 minute?

A bus trip takes 9 hours if the mean speed is 50 miles per hour. How many hours would this trip take if the mean speed was 45 miles per…

Jordan has a budget of $120 to rent a food truck. The rental company charges $18 per hour to rent the truck, plus a one-time cleaning fee of $30. Write…

A birdseed mixture is 2/5 sunflower seeds. The cost of the sunflower seeds is $0.10 per ounce. At this rate, what is the cost of the sunflower seeds in 25…

A graph shows the relationship between the number of gallons of water, y, that has been added to a tank and the number of hours, x, that water has been…

Karl has one red spinner and one blue spinner. Each spinner is divided into 4 equal sections, numbered 1 through 4. He spins each spinner once and writes down the…

A recipe uses 2/3 cup of sugar for every 1 1/4 cups of flour. A cook wants to increase the recipe. How many cups of sugar are needed for each…

A box contains an unknown number of green marbles. An experimenter adds 100 red marbles to the box, mixes the marbles thoroughly, and then draws out 10 marbles at random.…

There were 36 people at Emily’s party. If each person at the party drank 2 cups of juice, how many gallons of juice did they drink altogether? Note: 1 gallon…

A car costing $24,000 is subject to a sales tax of 8%. If Bindu made a $10,000 down payment on this car, what is the total amount she has left…

Last week, Emily rode the bus to school on 3 of the 5 mornings and rode the bus home on 4 of the 5 afternoons. Based on last week’s events,…

XYZ Corporation hired 6 people as summer workers. Of these 6 people, 3 will be hired as permanent employees in the fall. If 2 of the 6 people are male,…

Leah has set a goal to read a total of 500 pages of a textbook. The table shows the book page numbers for the reading she did during three days.…

What 3-digit number between 630 and 650 is divisible by both 5 and 8? Enter your answer in the space.

Melissa has a bag of marbles that are all the same size. The bag contains three red (R) marbles, three green (G) marbles, and two white (W) marbles. For an…

The table shows the probabilities of a hockey team scoring different numbers of goals in a game. HOCKEY GOAL PROBABILITIES Number of Goals Probability 0 0.16 1 0.21 2 0.29…

A team is participating in a contest to collect canned goods for a food drive. The team has 53 points and must have a total of at least 100 points…

The distance an eagle flies is proportional to the time the eagle spends flying. An eagle flies 90 miles in 3 hours. What is the constant of proportionality for this…

A student reads 1/12 of a book in 1/3 hour. What fraction of the book can the student read in 1 hour?

Two student clubs are selling snacks as part of a fundraiser. The Art Club sells a 24-pack of granola bars for $12.00. The Science Club sells a 10-pack of granola…

A bakery charges $1.25 for each cupcake and $2.50 for a serving tray. The equation describes p, the price of c cupcakes and a serving tray, not including tax. p…

Marcus and Isla are saving money to buy concert tickets. They decide to save the same amount each week. They already have $8 saved. After 3 weeks, the two have…

A company charges $3.00 to ship a 4-pound package. The cost includes a base fee of $1.50 plus $0.50 for each pound over the first pound. The table below illustrates…

What shape will result from a horizontal slice of the figure above?

The perimeter of square W is twice the perimeter of equilateral triangle X. What is the ratio of the length of one side of square W to the length of…

Anise has a piece of cloth measuring 45 inches by 75 inches. She wants to cut it into squares of equal size, without any cloth left over. What is the…

This table shows the number of birds that came to a bird feeder on Monday and Tuesday. BIRDS AT BIRD FEEDER Day Number of Birds Monday 30 Tuesday 24 What…