Practice Test 6 - 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 race track is 2.5 miles long. If a runner completes 6 laps, how many feet has she run in total?
2. A recipe calls for 3 cups of flour to make 24 cookies. How many cups of flour are needed to make 40 cookies?
3. A weather app records daily temperatures for seven days: 70°F, 72°F, 68°F, 75°F, 73°F, 71°F, and 69°F. A student adds all seven temperatures to find the total. Then the student divides by 7 because there are seven days. This gives the average temperature for the week. Determine the average temperature for the week.
4. A water tank is 2/3 full and contains 80 gallons. At the rate of 5 gallons per minute, how long will it take to completely fill the tank?
5. Evaluate the expression: $-3+2\times(8-5)\div3$ . What is the result?
6. A soccer player makes $0.80$ of shots. Convert $0.80$ to a percent. (Multiply by $100$.)
7. A store increased the price of an item by 30%, then offered a 30% discount on the new price. Compared to the original price, the final price represents what percent change?
8. A smoothie uses $1.5$ cups of juice; using $1$ cup $=240$ mL, how many mL is it?
9. Riley cooks pasta and buys ingredients for dinner. She buys n boxes of noodles at x dollars each. She also buys j jars of sauce at y dollars each. What expression shows the total cost of the meal?
10. Which pair of fractions represents the same value when both are written in lowest terms?
11. How many positive integers $n$ satisfy the condition that $n$ is a factor of 720 and $n$ is a multiple of 18?
12. A runner jogs 72 miles in eight hours; solve $8x = 72$.
13. A basketball player's free throw percentage improved from 60% to 75% over the season. By what percent did his free throw percentage increase?
14. A printer can print 15 pages in 2 minutes. At this rate, how long will it take to print a 225-page document?
15. At 48 miles per hour, a train travels $d=48t$. How many miles in 1.75 hours?
16. A painter can paint 225 square feet of wall in 3 hours. At this rate, how long will it take to paint a room with 525 square feet of wall space?
17. The sequence 2, 6, 12, 20, 30, ... represents which pattern?
18. Two regular polygons have the same side length of 7 cm. If one is a pentagon and the other is a heptagon (7 sides), what is the difference between their perimeters?
19. A school raised $850. It gave 40% to the library. The rest stayed for other projects. How much money went to the library?
20. Noah buys $2$ movie tickets at $11 each and a $6 popcorn. A coupon takes $3 off the popcorn only, and tax is $4\%$ on the final subtotal. A candy costs $2 but he skips it, and the movie starts at 7:45. What data is irrelevant to finding his total cost?

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