Practice Test 2 - 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 flight lasts $3$ hours $20$ minutes, then there is a $1$ hour $5$ minute layover. The next flight lasts $1$ hour $40$ minutes. The airport has a $9$ AM yoga class and a $7 smoothie. Which steps are necessary to find the total trip time?
2. The sequence 10, 7, 4, 1, -2, -5, ... is arithmetic. What is the first negative term?
3. A stock price fell 20% on Monday and rose 25% on Tuesday. If the stock was worth $60 per share on Sunday, what was its value after Tuesday?
4. The ratio of boys to girls in a school club is 4:7. If there are 28 boys in the club, what is the ratio of boys to the total number of club members?
5. Ben makes a salad for his family dinner. He buys l heads of lettuce at a dollars each. He also buys t tomatoes at b dollars each. Then he uses a store coupon for c dollars off. What expression shows the total cost of the meal?
6. Real-life applications: A designer makes a circular window. The radius is measured from the center to the glass edge, and the diameter is twice that length. A chord is any straight segment connecting two points on the window's edge. The diameter is a special chord through the center. Which statement about the radius and chord of a circle is true?
7. A runner goes 9 miles in 1.5 hours. Using $d=6t$, how far in 2.25 hours?
8. In the sequence 1, 1, 2, 3, 5, 8, 13, 21, ..., each term after the first two is the sum of the two preceding terms. What is the 12th term?
9. Sofia buys 3 shirts that each cost s dollars at the mall. She also buys p pairs of socks that each cost d dollars. Then she subtracts a discount of k dollars from her total. What is the algebraic expression for the total cost of the items?
10. If a number is divisible by 8, what must be true about its digits?
11. The chart displays the number of flowers blooming in a garden each week during a 10-week growing season. Which observation about the blooming pattern is best supported?
12. Identify the number that is NOT divisible by 10.
13. In a sequence, the first three terms are 2, 6, and 18. Each term after the first is obtained by multiplying the previous term by the same number and then adding the same constant. What is the 5th term?
14. Sarah scored 85% on a test with 60 questions. Later, she realized that 3 of her correct answers were actually marked wrong by mistake. What percent of the questions did she actually answer correctly?
15. A store marks up items by 25% above cost, then offers a 20% discount during a sale. If an item's final sale price is $18.00, what percentage of the original cost price does this represent?
16. What is the rule for $2, 6, 18, 54, 162$?
17. Ethan makes smoothies and buys fruit for the week. He buys a apples at p dollars each and b bananas at q dollars each. He also spends i dollars on ice once. What expression shows the total cost of the meal?
18. The sequence 1, 3, 7, 15, 31, ... follows the pattern aₙ = 2ⁿ - 1. What is the sum of the 6th and 7th terms?
19. A 10-ounce bottle of shampoo costs $3.90, and a 14-ounce bottle costs $5.18. Which option offers a better unit price?
20. What is $\frac{10^5}{10^2} \div 10^1$?

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