Practice Test 5 - SSAT Middle Level Quantitative

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. Which expression is equivalent to $\frac{8^4}{2^6}$?
2. Identify the number that is NOT divisible by 2.
3. Two rectangular prisms have the same height of 5 cm. The first has a base of 6 cm by 8 cm, and the second has a square base. If both prisms have the same volume, what is the side length of the square base?
4. A recipe calls for 1.75 cups of milk. If Sarah only has a 4-fluid-ounce measuring cup, how many times must she fill it to get the required amount of milk?
5. Over four weeks, a student earns allowance amounts of $10, $15, $12, and $13. The student adds all four numbers to get the total allowance. Then the student divides the total by 4 to find the average per week. The student writes the average in dollars and cents. Find the average allowance received.
6. A recipe that serves 8 people requires 2.5 cups of rice. How many cups of rice are needed to serve 20 people using the same recipe?
7. Leah makes tacos and buys ingredients at the market. She buys m pounds of meat at p dollars per pound. She also buys s bags of shredded cheese at c dollars per bag. What expression shows the total cost of the meal?
8. A rectangular garden has a length that is 3 feet more than twice its width. If the width is 8 feet, what is the area of the garden in square feet?
9. A baker uses $\frac{2}{3}$ cup of sugar for cookies and $\frac{3}{4}$ cup of sugar for a cake. If the baker only has $1\frac{1}{2}$ cups of sugar and wants to make the recipe that uses more sugar, which statement is true?
10. A carpenter charges $50 for the first hour and $35 for each additional hour. He also charges $20 for materials per project regardless of time. If a project takes 4.5 hours, which expression correctly calculates the total cost?
11. Two equivalent fractions have numerators that differ by 15 and denominators that differ by 25. If the smaller fraction is $\frac{9}{15}$, what is the larger fraction?
12. The average height of 6 basketball players is 72 inches. If one player who is 66 inches tall leaves the team, what is the average height of the remaining 5 players?
13. A rectangle has length and width in the ratio 7:4. If the perimeter is 66 units, what is the area of the rectangle?
14. Sarah has $\frac{5}{8}$ of a pizza left. She wants to divide it equally among 3 people. Which fraction, when expressed with a denominator of 48, represents each person's share?
15. A number $x$ is chosen such that $x$ is a multiple of 6, $x$ is a factor of 120, and $x > 20$. How many possible values of $x$ are there?
16. A rectangular garden plot is divided into 4 equal smaller rectangles by one horizontal and one vertical line. If the original rectangle has perimeter 60 feet and length 18 feet, what is the total length of all the dividing lines needed?
17. The graph shows the number of library visitors each day for two consecutive weeks. Which statement most accurately describes the visitation pattern?
18. The number $2^a \times 3^b \times 5^c$, where $a$, $b$, and $c$ are nonnegative integers, is divisible by 72. What is the smallest possible value of $a + b + c$?
19. A recipe calls for a ratio of 2 cups of flour to 3 cups of sugar. If Sarah uses 8 cups of flour, how many cups of sugar should she use to maintain the same ratio?
20. A positive integer $n$ has the property that when $n$ is divided by 15, the remainder is 7. Which of the following could be the remainder when $n$ is divided by 5?

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