Question 1
The box-and-whisker plot shows the scores on a science quiz. What was the median score on the quiz? A. 58 B. 66 C. 71 D. 89
ISEE Upper Level — Toiya Original Practice Test 3 — Mathematics Achievement
Toiya Original ISEE Upper Level Practice Test 3 — Mathematics Achievement.
47 questions · Free online practice
Open the interactive worksheetQuestion 2
A fence post 6 feet tall casts a shadow 9 feet long. At the same time, a building casts a shadow 54 feet long. How tall is the building, in feet? A. 36 B. 51 C. 57 D. 81
Question 3
What is the result of the expression \(\begin{bmatrix}7&2\\11&5\end{bmatrix}\)\(-\)\(\begin{bmatrix}3&6\\4&5\end{bmatrix}\)? A. \(\begin{bmatrix}4&4\\7&0\end{bmatrix}\) B. \(\begin{bmatrix}10&8\\15&10\end{bmatrix}\) C. \(\begin{bmatrix}4&-4\\7&0\end{bmatrix}\) D. \(\begin{bmatrix}4&-4\\-7&0\end{bmatrix}\)
Question 4
Which is the closest estimate for the expression \((798\div41)\times3\)? A. 40 B. 60 C. 120 D. 240
Question 5
Which numerical value is equivalent to the expression \(\dfrac{\sqrt{25}\,(4\times\sqrt9)}{\sqrt{16}}\)? A. 3 B. 9 C. 12 D. 15
Question 6
The graph shows the number of library visitors before noon on six days. What is the mean number of visitors per day? A. 25 B. 27.5 C. 30 D. 35
Question 7
A water tank holds 120 gallons. It drains at a rate of 8 gallons per minute. Which equation models the amount of water in the tank, \(y\), after \(x\) minutes? A. \(y=120-8x\) B. \(y=8x-120\) C. \(y=120x-8\) D. \(y=8(120-x)\)
Question 8
Which expression is equivalent to \(5y^4-3y^2+(2y^4+7y^2-x)\)? A. \(7y^4+4y^2+x\) B. \(3y^4-10y^2-x\) C. \(11y^6-x\) D. \(7y^4+4y^2-x\)
Question 9
A straight angle is separated into four parts, as shown. What is the value of \(x\)? A. \(45^\circ\) B. \(54^\circ\) C. \(90^\circ\) D. \(135^\circ\)
Question 10
Ms. Ortiz surveyed 60 students about which after-school club they attend. The circle graph shows the results as percentages. Which data match the survey results? A. 15 Club A, 35 Club B, 40 Club C, 10 Club D B. 9 Club A, 21 Club B, 24 Club C, 6 Club D C. 9 Club A, 24 Club B, 21 Club C, 6 Club D D. 6 Club A, 21 Club B, 24 Club C, 9 Club D
Question 11
The formula for the surface area of a sphere is \(SA=4\pi r^2\). If a sphere has a surface area of \(64\pi\) square inches, what is its radius? A. 4 in. B. 8 in. C. 16 in. D. 32 in.
Question 12
The graph of a line is shown. What is the slope of the line? A. \(-2\) B. \(-\tfrac12\) C. \(\tfrac12\) D. 2
Question 13
Nadia packs 5 shirts, 4 pairs of pants, and 3 hats for a trip. How many different outfits of one shirt, one pair of pants, and one hat can she make? A. 12 B. 20 C. 60 D. 120
Question 14
Omar read \(\tfrac25\) of a book in 18 minutes. If he keeps reading at the same rate, how long will it take him to finish the rest of the book? A. 12 minutes B. 18 minutes C. 27 minutes D. 45 minutes
Question 15
The area of each grid square is 9 square centimeters. Note: The figure is not drawn to scale. What is the area of the shaded region? A. \(18\text{ cm}^2\) B. \(36\text{ cm}^2\) C. \(54\text{ cm}^2\) D. \(72\text{ cm}^2\)
Question 16
A bag holds 7 red, 5 yellow, and 8 green tiles. One tile is drawn and put back, then a second tile is drawn. What is the probability that both tiles are green? A. \(\tfrac8{20}\) B. \(\tfrac8{20}+\tfrac8{20}\) C. \(\tfrac8{20}\times\tfrac7{19}\) D. \(\tfrac8{20}\times\tfrac8{20}\)
Question 17
Lena bought three items that cost \(\$12\), \(\$20\), and \(\$16\). She plans to buy three more items that each have the same price. If the mean price of all six items will be \(\$18\), what is the price of each new item? A. \(\$6\) B. \(\$18\) C. \(\$20\) D. \(\$60\)
Question 18
Which numerical expression does NOT represent an integer? A. \(\sqrt{100}-\sqrt{36}\) B. \(\sqrt{25+11}\) C. \(\sqrt9+\sqrt{49}\) D. \(\sqrt{81-9}\)
Question 19
A box holds only red and blue pens. There are 3 times as many red pens as blue pens. If there are 12 red pens, what fraction of the pens are blue? A. \(\tfrac1{12}\) B. \(\tfrac14\) C. \(\tfrac13\) D. \(\tfrac34\)
Question 20
If \(c+(2.7+1.3)c=35\), what is the value of \(c\)? A. \(\tfrac17\) B. 5 C. 7 D. 8.75
Question 21
A poll predicted that \(40\%\) of the 5,000 expected voters would support a ballot measure. If 60 people in the poll supported the measure, how many people were polled? A. 24 B. 60 C. 150 D. 2,000
Question 22
For what value(s) of \(d\) is the equation \(\dfrac{6-d}{d+3}=0\) true? A. \(-3\) B. 6 C. \(-3\) and 6 D. There are no values of \(d\) that make the equation true.
Question 23
There are 2.54 centimeters in an inch. A machine produces wire at a rate of 300 inches per minute. The value of which expression is the rate in centimeters per second? A. \(\dfrac{300\times2.54}{60}\) B. \(\dfrac{300\times60}{2.54}\) C. \(\dfrac{300}{2.54\times60}\) D. \(300\times2.54\times60\)
Question 24
A snail travels 9 meters per minute. Which is an equivalent rate? A. 0.9 meter per second B. 90 centimeters per minute C. 15 centimeters per second D. 900 millimeters per minute
Question 25
Which expression is equivalent to \((x+6)(x-3)\)? A. \(x^2-18\) B. \(x^2-9x-18\) C. \(x^2-3x-18\) D. \(x^2+3x-18\)
Question 26
What is the value of \(\dfrac{8.4\times10^5}{2.1\times10^{-3}}\)? A. \(4.0\times10^{-8}\) B. \(4.0\times10^{-2}\) C. \(4.0\times10^{2}\) D. \(4.0\times10^{8}\)
Question 27
A 6-sided number cube, numbered 1–6, is rolled twice. What is the probability that the first roll is a multiple of 3 and the second roll is less than 5? A. \(\tfrac19\) B. \(\tfrac29\) C. \(\tfrac13\) D. 1
Question 28
The volume of a cone is \(V=\tfrac13\pi r^2h\). A cone has a volume of \(48\pi\) cubic centimeters and a height of 9 cm. What is the radius of its base? A. 4 cm B. 8 cm C. 16 cm D. 48 cm
Question 29
For what value(s) of \(q\) does \(\dfrac{q^2+25}{(q-5)(q+1)}=0\)? A. \(q=-5\) only B. \(q=5\) and \(q=-1\) C. \(q=\pm5\) D. No real number satisfies this equation.
Question 30
Theo wants to estimate the average time teenagers in his town spend on homework each night. Which sample will give him the most reliable information? A. a random sample of students in his math class B. a random sample of all teenagers in his town C. a random sample of honor-roll students D. a random sample of people at the library
Question 31
A square with sides 10 centimeters long contains two semicircles, as shown. What is the area of the shaded region? A. \((50-25\pi)\text{ cm}^2\) B. \((100-50\pi)\text{ cm}^2\) C. \((100-12.5\pi)\text{ cm}^2\) D. \((100-25\pi)\text{ cm}^2\)
Question 32
Which describes all values of \(x\) for which \(3|x-2|+1<10\)? A. \(x<5\) B. \(-1<x<5\) C. \(x<-1\) or \(x>5\) D. \(-5<x<1\)
Question 33
The graph shows how many books each student in a class read in July. What is the median number of books read? A. 2 B. 2.5 C. 3 D. 9
Question 34
Ava has quiz scores of 78, 84, 90, and 80. Her final exam score will count twice in her overall mean. What score does she need on the final exam to raise her overall mean by 3 points? A. 86 B. 89 C. 92 D. 95
Question 35
The frequency table shows the number of pets owned by each of 15 students. PETS OWNED Number of Pets Frequency 0 2 1 4 2 3 3 1 4 5 What is the median number of pets owned? A. 2 B. 2.5 C. 3 D. 4
Question 36
A solution set is shown on the number line. Which inequality matches this solution set? A. \(-5<x-3\le2\) B. \(0\le x+3<8\) C. \(-5\le x-3<2\) D. \(-4\le x-2<2\)
Question 37
A fountain uses water at a rate of 6 cups per minute. Which expression gives the rate in quarts per hour? (4 cups \(=\) 1 quart) A. \(6\times4\times60\) B. \(\dfrac{6\times60}{4}\) C. \(\dfrac{6}{4\times60}\) D. \(\dfrac{4}{6\times60}\)
Question 38
What is the solution set of \(x^2+49=0\)? A. 7 B. \(7i\) C. \(\pm7\) D. \(\pm7i\)
Question 39
The point \((1,-2)\) is on a circle with center \((4,2)\). What is the radius of the circle? A. \(\sqrt7\) B. 5 C. 7 D. 25
Question 40
Which expression is equivalent to \(\sqrt{81b^{50}}\)? A. \(9b^{25}\) B. \(9b^{48}\) C. \(40.5b^{25}\) D. \(81b^{25}\)
Question 41
Ken walks 3 miles north, 6 miles east, 5 miles north, and 2 miles west. What is the shortest distance between Ken and his starting point? A. \(2\sqrt5\) miles B. \(4\sqrt5\) miles C. 12 miles D. 16 miles
Question 42
If \(a\) and \(b\) are prime numbers, what is the greatest common factor of \(18ab\), \(12a^2b^2\), and \(30a^3\)? A. \(6a\) B. \(6ab\) C. \(6a^3b^2\) D. \(180a^3b^2\)
Question 43
The first four terms of an arithmetic sequence are shown. The first term is 5. \(5,\ 2,\ -1,\ -4\) Which expression represents the \(n\)th term? A. \(n-3\) B. \(5-3n\) C. \(3n+2\) D. \(8-3n\)
Question 44
The grid shows three vertices of a trapezoid. Which ordered pair could be the coordinates of the fourth vertex? A. \((-2,5)\) B. \((-2,6)\) C. \((-1,5)\) D. \((0,6)\)
Question 45
If \(f(x-3)=4x+1\) for all values of \(x\), what is the value of \(f(5)\)? A. 9 B. 13 C. 21 D. 33
Question 46
What is the value of \(k\) in the equation \(\dfrac{1}{4k^2}=\dfrac{1}{2k^2}-\dfrac1k\)? A. \(\tfrac14\) B. \(\tfrac12\) C. 2 D. 4
Question 47
In \(\triangle ABC\), angle \(C\) is a right angle, \(BC\) is 20 feet, and angle \(B\) measures \(58^\circ\). Which expression is equal to the length of \(\overline{AB}\), in feet? A. \(20\cos58^\circ\) B. \(20\sin58^\circ\) C. \(\dfrac{20}{\cos58^\circ}\) D. \(\dfrac{20}{\sin58^\circ}\)