SSAT Upper Quantitative II practice test

If $y = 2x + 5$ and $x = -3$, what is the value of $y$?

$25\%$ of $80 =$

If $n$ is an even integer, which of the following expressions must represent an odd integer?

A 9 by 6 rectangle has a 3 by 2 rectangle removed. What is the remaining area?

The temperatures over five days were $68^\circ$, $72^\circ$, $75^\circ$, $71^\circ$, and $69^\circ$. What is the range?

On a map, 1 inch represents 12 miles. Two towns are 2.5 inches apart on the map. How many miles apart are the towns?

If $4p + 2p - 5 = 43$, what is the value of $p$?

Which of the following labeled points in the coordinate plane shown lies on the positive $y$-axis?

A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of choosing a red or blue marble at random?

A right triangle has legs whose lengths are 9 and 12 units. What is the perimeter of the triangle?

The length of a rectangle is 3 meters more than its width. If the perimeter of the rectangle is 26 meters, what is the width of the rectangle?

A number $x$ rounds to 7.4 when rounded to the nearest tenth. Which of the following intervals contains all possible values of $x$?

Elena buys an item priced at $85. The item is discounted by $20\%$, and then a $4 coupon is applied. What is the final price?

A rectangle has perimeter 34 inches and length 10 inches. If its width is increased by 3 inches, what is the new area of the rectangle?

Four temperatures are $-1.4$, $-1.04$, $-1.14$, and $-1.401$ degrees. Which choice lists the temperatures from least to greatest?

A class trip has a fixed bus cost of 250 dollars and brings in 18 dollars per student. If $n$ students go, which of the following expressions gives the profit from the trip in dollars?

A rectangular tank is 10 meters long, 8 meters wide, and 6 meters high. If it is $\dfrac{3}{4}$ full, what is the volume of the empty part of the tank?

Which of the following expressions gives $\dfrac{(6 \times 10^{-4})(3 \times 10^7)}{9 \times 10^2}$ in scientific notation?

At a bookstore, one clerk can finish shelving a shipment alone in 6 hours, and another can finish the same shipment alone in 3 hours. How many hours will they need working together?

On a number line, point $B$ lies between points $A$ and $C$. The distances satisfy $AB:BC=2:5$. The coordinate of $B$ is 3, and the midpoint of $\overline{AC}$ has coordinate 9. What is the coordinate of $A$?

The table shows the numbers of packages sorted at four stations during two shifts. Across all four stations, the late shift sorted what percent more packages than the early shift?

A horizontal segment and a vertical segment divide a rectangle into four smaller rectangles. The upper-left rectangle has area 9 square centimeters, and the lower-right rectangle has area 16 square centimeters. The upper-right and lower-left rectangles are shaded and have equal areas. What is the perimeter, in centimeters, of the original rectangle?

How many integers from 1 through 80 are divisible by 6 or by 10, but not by both?

A notebook has 150 pages, and $40\%$ of the pages have been used. Lena removes some of the unused pages. The used pages then make up $60\%$ of the pages left. How many unused pages did Lena remove?

Two stacks of index cards contain different numbers of cards. If 12 cards are moved from the first stack to the second stack, the second stack will have twice as many cards as the first stack. If instead 6 cards are moved from the second stack to the first stack, the two stacks will have the same number of cards. How many cards are in the two stacks altogether?