Practice Test 9 - 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 machine produces 144 items in 36 minutes. If the machine operates for 5 hours at the same rate, how many items will it produce?
2. A code uses base $9$; exponent counts repeats: evaluate $9^2$.
3. A triangular garden has a base of 16 feet. If the area needs to be at least 120 square feet, what is the minimum height required?
4. A bag contains marbles in three colors with quantities in the ratio $4:6:5$. If $3$ marbles of each color are added to the bag, which of the following could be the new ratio?
5. A car travels 240 miles in 4 hours at a constant speed. At this same rate, how long would it take to travel 420 miles?
6. What is the product of all the different prime factors of 60?
7. A car travels 280 miles on 8 gallons of gas. At this rate, how many gallons of gas are needed to travel 525 miles?
8. A pattern begins: 2, 5, 11, 23, 47, ... where each term is one more than double the previous term. How many terms are needed to first exceed 1000?
9. A swimming pool is being filled and drained simultaneously. The inlet pipe fills the pool at 40 gallons per minute, while the drain removes water at 25 gallons per minute. If the pool starts with 200 gallons and has a capacity of 800 gallons, how long will it take to fill the pool completely?
10. A swimming pool is being drained at a rate of 125 gallons every 5 minutes. At this rate, how long will it take to drain 2,000 gallons from the pool?
11. Rate is $1\ \text{USD}=0.8\ \text{GBP}$. Using $g=0.8u$, find pounds for $u=\$95$.
12. Refer to the figure. What is the volume of the composite solid formed by placing a cube with side length 4 units on top of a rectangular prism with dimensions 6 units by 8 units by 3 units?
13. A recipe shows $2/5$ of a cup of sugar. Choose the correct decimal form of $2/5$. (Divide $2\div5$.)
14. Which fraction is equivalent to $\dfrac{7}{10}$?
15. A train travels 180 miles in 3 hours. At this same rate, how long will it take to travel 420 miles?
16. A floor is $150$ ft$^2$; using $1$ m$^2$ $=10.764$ ft$^2$, what is it in m$^2$?
17. A recipe calls for 4 cups of flour to make 12 muffins. If Lisa wants to make 18 muffins, how many cups of flour does she need?
18. What is the next term: 81, 27, 9, 3, ___?
19. At a bake sale, $4x = 28$; find $x$.
20. Harper buys 2 graphic novels that each cost g dollars at a book fair. She also buys m mystery books that each cost b dollars. Then she adds a donation of d dollars to support the library. What is the algebraic expression for the total cost of the items?

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