Practice Test 7 - 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. During a fundraiser, the band sells popcorn for p dollars per bag and stickers for s dollars each. They sell a bags of popcorn and b stickers at the game. Which expression represents the total earnings from the fundraiser?
2. A plane leaves at 9:10 AM and lands at 11:00 AM. After a $50$-minute layover, the next flight takes $2$ hours $15$ minutes. Jordan eats lunch at 12:30 PM and buys a $4 snack. What information do you need to solve this problem?
3. Consider the pattern: $2, 6, 12, 20, 30, ...$. What is the 8th term in this sequence?
4. The angles of a triangle are in the ratio $2:3:4$. What is the measure of the largest angle?
5. A factory produces 960 items in 8 hours using 4 machines. At the same rate per machine, how many items would 6 machines produce in 12 hours?
6. A car's gas tank holds 16 gallons. If the car gets 28 miles per gallon and gas costs $3.45 per gallon, how much does it cost to drive 350 miles?
7. Evaluate the expression: $\frac{1}{2}\times(14-6)+3$ . What is the result?
8. The line graph shows the temperature readings taken every 2 hours from 6 AM to 6 PM. What was the average temperature during the time period from 10 AM to 4 PM?
9. Two rectangles have the same area. The first rectangle has dimensions 8 by 15. The second rectangle has a width of 10. What is the length of the second rectangle?
10. What is the solution to $7 - 2(x + 1) = 3x + 8$?
11. If $4(p + 3) = 28$, what is the value of $p$?
12. A rectangular garden measures 24 feet by 36 feet. If the owner wants to install a fence that costs $8.50 per yard, what will be the total cost of fencing?
13. Sarah has some stickers. After giving away 15 stickers, she has 42 stickers left. How many stickers did Sarah start with?
14. The numbers 1, 3, 6, 10, 15, 21, ... follow a pattern where each number represents the sum 1 + 2 + 3 + ... up to some counting number. Which of these sums equals 120?
15. A student claims that every odd number greater than $1$ is prime. Which of the following is the smallest counterexample to this claim?
16. At a school fundraiser, 35% of the students bought cookies, and 40% of those cookie buyers also bought lemonade. If 84 students bought both cookies and lemonade, how many total students participated in the fundraiser?
17. The ratio of length to width of a rectangle is $5:3$. If the perimeter is $64$ units, what is the area of the rectangle?
18. A school cafeteria serves lunch to $n$ students on Monday. On Tuesday, 15 fewer students eat lunch. On Wednesday, twice as many students as Tuesday eat lunch. Which expression represents the total number of students who ate lunch over these three days?
19. What operation is used to generate $81, 27, 9, 3, 1$?
20. Lisa writes the fraction $\frac{42}{56}$ and claims it equals $\frac{6}{8}$ because "I divided the top and bottom by 7." Is her work correct, and what is the fraction in lowest terms?

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