Practice Test 11 - ISEE Middle Level Mathematics Achievement

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. A recipe uses 2 cups of flour for 8 muffins. Sam wants to make 24 muffins and keeps the same recipe ratio. Let $x$ be the number of cups of flour needed. The situation can be written as $8x = 48$. Solve for $x$ in the equation $8x = 48$.
2. If the pattern continues, what is the next fraction in the sequence? $\frac{1}{2}, \frac{3}{5}, \frac{5}{8}, \frac{7}{11}, ...$
3. A water jug has a capacity of 3 liters. If it already contains $1\frac{1}{4}$ liters of water, how much more water must be added to fill it to exactly $2\frac{1}{2}$ liters?
4. A cyclist rides at 18 miles per hour for $t$ hours. Which equation models distance $d$?​​
5. A roll of wire is 20 meters long. A worker cuts off 12 pieces, each 75 centimeters long. How many meters of wire are left on the roll? (Note: 1 meter = 100 centimeters)
6. A baker starts with 6 cups of flour. She uses $2\frac{1}{2}$ cups for a cake and $1\frac{1}{4}$ cups for some cookies. How much flour is left?
7. A library tracks the number of books checked out each day. Monday: 150, Tuesday: 180, Wednesday: 210, Thursday: 160, Friday: 240, Saturday: 260. What is the average number of books checked out per day from Monday to Saturday?
8. Leo is paid $180 for 8 hours of work. If he works for 30 hours during a week, and $115 is deducted from his total pay for taxes, what is his take-home pay for the week?
9. What is the value of the expression $36 - [18 \div (2+4) \times 5]$?
10. During a five-day charity drive, a school raised $150, $200, $150, $250, and $180. The school's goal was to have a mean fundraising amount of $200 per day. How much more money did they need to raise on the fifth day to meet their goal exactly?
11. In a garden, combine these sections: $5/6$ plot, $1/6$ plot, and $1\ 1/3$ plots. What total area?
12. You roll a fair die for a board game. Outcomes 1-6 are each $1/6$. What is the probability of rolling 6 outcome?
13. A sequence starts with 4. Each subsequent number is found by applying the same two operations in the same order to the previous number. The sequence is 4, 9, 19, 39, 79, ... What is the rule?
14. A triangle is defined by the vertices A(-1, -1), B(5, -1), and C(2, 3). Which of the following best describes the triangle?
15. A taxi charges a $4 start fee plus $2 per mile. Jordan's ride costs $18 total, including the start fee. Let $x$ be the number of miles traveled. This situation is represented by $2x + 4 = 18$. If $2x + 4 = 18$, what is $x$?
16. A table shows the results of a survey on students' favorite sports. Out of 120 students surveyed, 40% chose basketball, 25% chose soccer, 15% chose baseball, and the rest chose swimming. How many more students chose basketball than swimming?
17. What is the volume of a sphere with a radius of 6 cm, in terms of π? Use the formula V = $\frac{4}{3}\pi r^3$.
18. Point M(5, 1) is equidistant from point P(2, 5) and point Q(x, 5). Given that x is not equal to 2, what is the value of x?
19. Leah starts with $300$ dollars and adds $40$ dollars each month for $m$ months, giving total $T$. Which equation works?
20. A square-shaped garden has an area of 225 square feet. If a farmer wants to build a fence around the garden, how many feet of fencing will be required?

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