Free SSAT Math Practice Test — Grade 9

The graphs of y = 0.5x - 2 and y = 1.5x - 4 intersect at a single point. What is that point?

The table shows the attendance at a regional soccer tournament for three years. The tournament director says attendance grew by exactly 10% each year from Year 0 to Year 2 through compound annual growth. If Year 2 attendance was 12,100 fans, what was the attendance at Year 0?

A science class is modeling cells using cubes. The table below shows the volume of each model cell and the side length students need to compute. For the cell with a volume of $\frac{1}{8}$ cubic centimeter, what is the side length in centimeters?

A crafter is building a diamond-shaped kite frame. The table shows the planned lengths of three wooden struts. The two shorter struts meet at a right angle at the center of the kite. The crafter wants to add one straight diagonal brace connecting the outer ends of those two shorter struts. What length, in centimeters, should the diagonal brace be so that the triangle formed by the two shorter struts and the brace is a perfect right triangle?

The graph shows the total monthly cost (in dollars) of a music streaming plan based on the number of premium song downloads purchased. Two points on the line are marked: (0, 2.0) and (4, 4.0). Which equation represents this linear relationship?

The table gives signed positions along an east-west trail, measured in miles from the visitor center. A guide defines one ridge unit as the distance from Tunnel to Overlook, which is east of Tunnel. A shuttle route measuring $\frac{15}{8}$ miles is exactly 3 ridge units long. What signed position should replace the question mark?

A basketball player completes a six-round conditioning drill. In each round, the player sprints from the starting line to a cone and then returns to the starting line. The cone distances form a geometric sequence, as shown in the table. How many meters farther does the player sprint during the first four rounds combined than during the final two rounds combined?

A baker has a rectangular cooling rack with one side measuring 0.9 meters. When the baker stretches a measuring tape from one corner to the opposite corner, the diagonal measures 1.5 meters. The baker needs to know the length of the other side of the rack to check whether it will fit in the storage cabinet. What is the length, in meters, of the other side of the cooling rack?

The table shows how the snow depth beside a school weather station changes during a storm and the following afternoon. After all the stages shown, another snowfall begins. How many centimeters of new snow must accumulate to bring the depth to exactly 18.00 centimeters?

A swim meet replay station can create a clip by choosing one of 5 race recordings, one camera angle, one of 4 playback speeds, and one starting point. The playback speeds are 0.5, 0.75, 1.0, and 1.25 times normal speed. Starting points occur every 0.8 second from 0.0 through 2.4 seconds, inclusive. If the station offers about 610 distinct clips, which is closest to the number of camera angles available?

For a set of handmade bracelets, Nia has one bead mix that is $\frac{1}{3}$ metallic beads and another that is $\frac{3}{4}$ metallic beads. She begins with 1 $\frac{1}{8}$ cups of the first mix but uses $\frac{3}{8}$ cup on a different project. She combines all of the remaining first mix with some of the second mix so that exactly $\frac{1}{2}$ of the finished blend is metallic beads. How many cups of the second mix does she use?

Set P contains half as many numbers as Set Q, and the mean of Set P is $\frac{3}{4}$. One-fourth of the numbers in Set Q, with a mean of $\frac{1}{2}$, are removed. The mean of the numbers in Set P together with the numbers remaining in Set Q is $\frac{7}{10}$. What was the original mean of Set Q?

During a classroom reading challenge, the number of words read by the class each week forms an arithmetic sequence. According to the table, how many words does the class read altogether during the first 8 weeks?

How much greater is the sum of the two largest entries in Set P than the sum of the two smallest entries in Set Q?

If ($\frac{3}{4}$)[x - $\frac{2y - z}{3}$] - $\frac{x + z}{5}$ = ($\frac{2}{3}$)(y - $\frac{x}{2}$), which relation must also hold?

If a is a negative integer and x² + ax - 72 has x-a as a factor, what is the constant term of the other binomial factor?

In a music app, the sound-processing rule q is applied before the rule p, where p(x) = √$\frac{20 - x}{x - 12}$ and q(n) = $\displaystyle \frac{12}{\sqrt{9 - n} - 2}$. Which whole-number setting n can be entered into q but produces a value that cannot then be entered into p?

If -3$\frac{2a - b}{4}$ + 5$\frac{a + 2b}{6}$ = c - d, which expression is equal to b?

If p and q are nonzero real numbers and (p^-3q²)/(pq^-2) = $\frac{16}{81}$, what is the value of (p^-6q⁶)/(pq)⁰?

The table gives values of three functions. If each displayed pattern continues, which lists the functions in order from slowest eventual growth to fastest eventual growth?