Practice Test 4 - 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. A rectangular storage box has a length of 8 inches, a width of 6 inches, and a height of 4 inches. If the height is doubled while keeping the length and width the same, by what factor does the volume increase?
2. A store advertises $1/5$ off a backpack. What is the decimal equivalent of $1/5$? (Compute $1\div5$.)
3. A model bridge is made at a 1:100 scale. If the model is 45 cm long, what is original length?
4. In triangle DEF, angle D is twice as large as angle E, and angle F is 30° more than angle E. What is the measure of angle D?
5. A gear with 24 teeth rotates and turns another gear with 36 teeth. If the first gear makes 150 rotations, how many rotations does the second gear make?
6. A spherical fishbowl is used in a classroom to hold water for a small fish. The fishbowl has a radius of 10 cm. The teacher wants the volume to avoid overfilling it. Use the formula $V=\frac{4}{3}\pi r^3$. Give the volume in cubic centimeters. Using the formula for a sphere, find the volume if the radius is 10 cm.
7. Which integer is closest to the middle of $-15$ and $7$ on a number line?
8. A water cooler dispenses 8 fluid ounces per cup. If the cooler holds 3 gallons of water, how many complete cups can be filled?
9. A car's value depreciates by 15% each year. If the car is worth $18,700 after one year of depreciation, what was its original value?
10. A trip includes a $55$-minute subway ride, then a $15$-minute walk to the gate. The ferry ride is $1$ hour $25$ minutes. The schedule also lists a 2 PM dolphin talk. To find the total travel time, what is the first step?
11. If $m$ and $n$ are integers with $m < n$, and there are exactly $4$ integers between $m$ and $n$ (not including $m$ and $n$), what is $n - m$?
12. A car travels 180 miles in 3 hours. Using $d=60t$, how far in 4.5 hours?
13. Leah buys $3$ pens at $2 each and a binder for $8. She has a coupon for $10\%$ off the binder only. Sales tax is $6\%$ on the total after the coupon. A notebook costs $5 but she leaves it behind. What is the first step in solving this problem?
14. A survey says $0.25$ of students walk to school. Identify the percent form of $0.25$. (Move decimal two places right.)
15. A thermometer reads $25^\circ$C; using $F=\left(\frac{9}{5}C\right)+32$, what is the temperature in $^\circ$F?
16. Two adjacent angles form a straight line; if $m\angle A=128^\circ$, what is $m\angle B$?
17. A car uses 8 gallons of gas to travel 280 miles. At this rate, how many miles can the car travel with 15 gallons of gas?
18. A map uses 1 inch = 6 miles. Two towns are 3.5 inches apart. How far apart?
19. A 6-ounce box of crackers costs $1.62, and a 9-ounce box costs $2.34. Which option offers a better unit price?
20. A tea merchant blends two types of tea. Type X costs $12 per pound and Type Y costs$18 per pound. If he wants to create 25 pounds of a blend that costs $$15 per pound, and then sell it at a 20% markup, what will be his profit per pound?

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