Practice Test 12 - ISEE Upper Level Mathematics Achievement

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

In a class of 30 students, 18 study French, 16 study Spanish, and 8 study both languages. If a student is chosen at random, what is the probability that the student studies French but not Spanish? Give your answer in simplest form.
To make $6$ liters of $45\%$ from $30\%$ and $60\%$ , solve $0.30x+0.60(6-x)=2.7$ .
Two independent events A and B have probabilities P(A) = 0.6 and P(B) = 0.4. Compare the probability of exactly one of these events occurring to the probability of neither event occurring.
The segmented bar chart shows the percentage breakdown of transportation methods used by students at three different schools. If School C has 800 students total, and the same number of students walk to school as take the bus, how many students at School C use each of these two transportation methods?
Two box plots are shown representing the daily sales (in dollars) for two competing coffee shops over the same 30-day period. Coffee Shop A has a five-number summary of (180, 220, 240, 280, 320), while Coffee Shop B has (160, 200, 250, 290, 340). Which statement best compares the consistency and performance of these two coffee shops?
A swimming pool is being filled at a rate of $2\frac{2}{5}$ gallons per minute. How many gallons will be added to the pool in $1\frac{1}{4}$ hours?
A regular hexagon has a perimeter of 48 cm. If the hexagon is divided into 6 equilateral triangles by drawing lines from the center to each vertex, what is the area of one of these triangles?
The table shows corresponding values of $x$ and $g(x)$ . Based on this data, which function rule best describes $g(x)$ ?
Calculate: $4^2 \div 2 + 3 \times (7 - 5)^2 - 4$
A player scored $10, 6, 12, 9, 10, 15, 8, 10, 7, 14, 11$ points; identify the median.
The grouped bar chart displays monthly sales data for three different product categories over a four-month period. If the company's goal is to have each category represent exactly one-third of total monthly sales, in which month did they come closest to achieving this goal?
A spinner has regions colored red, blue, and yellow with probabilities $\frac{1}{2}$ , $\frac{1}{3}$ , and $\frac{1}{6}$ respectively. The spinner is spun twice. Compare the probability of getting the same color twice to the probability of getting red at least once.
A sequence has the property that each term after the first two is the average of the two preceding terms. If the first term is $12$ and the second term is $8$ , what is the fourth term?
Weather Forecast: A city records 100 summer days. The data show these outcomes: 30 days have rain, 40 days have high temperatures, and 12 days have both rain and high temperatures. Calculate the probability of both rain and high temperatures on a randomly chosen day.
A box plot shows that a dataset has a minimum value of 12, first quartile of 18, median of 24, third quartile of 30, and maximum value of 42. If three additional data points (15, 27, and 36) are added to the dataset, which of the following statements about the new box plot is most likely to be true?
A student reads $1\frac{2}{3}$ hours on Monday, $2\frac{1}{4}$ hours on Tuesday, and $\frac{5}{6}$ hour on Wednesday. What is the total reading time for the three days?
Simplify: $\frac{\frac{3}{4} + \frac{1}{8}}{\frac{5}{6} - \frac{1}{3}}$
In a card draw, you draw two cards from a 52-card deck without replacement. The event $H$ is "first card is a heart." If the first card is a heart, what is the probability the second card is a spade?
A fair six-sided die is rolled three times. Compare the probability of getting exactly two sixes to the probability of getting at most one six.
A box-and-whisker plot displays test scores where the whiskers extend from 45 to 95, the box extends from 70 to 85, and the median line is at 78. If a student scored at the 90th percentile, approximately where would their score fall on this plot?

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