Question 1
If \(n\) is a negative integer, which expression has the greatest value? A. \(n^2\) B. \(n\) C. \(2n\) D. \(n-1\)
ISEE Middle Level — Toiya Original Practice Test 1 — Quantitative Reasoning
Toiya Original ISEE Middle Level Practice Test 1 — Quantitative Reasoning.
37 questions · Free online practice
Open the interactive worksheetQuestion 2
The pattern \(1,\ 4,\ 7,\ 10,\ \ldots\) continues. Which expression gives the \(n\)th term of the pattern? A. \(3n+1\) B. \(3n-2\) C. \(n+3\) D. \(4n-3\)
Question 3
Which fraction is between \(\frac{1}{3}\) and \(\frac{1}{2}\)? A. \(\frac{1}{5}\) B. \(\frac{1}{4}\) C. \(\frac{3}{10}\) D. \(\frac{5}{12}\)
Question 4
If \(\dfrac{x+4}{3}=5\), what is the value of \(x-4\)? A. 7 B. 9 C. 11 D. 15
Question 5
The figure shows a rectangle on a grid of unit squares. What fraction of the rectangle is shaded? A. \(\frac{1}{4}\) B. \(\frac{1}{3}\) C. \(\frac{1}{2}\) D. \(\frac{2}{3}\)
Question 6
A bag contains only red and green marbles. The probability of choosing a red marble at random is \(\frac{3}{8}\). Which could be the total number of marbles in the bag? A. 10 B. 15 C. 18 D. 24
Question 7
The price of a book increased from \$40 to \$50. By what percent did the price increase? A. \(20\%\) B. \(25\%\) C. \(40\%\) D. \(50\%\)
Question 8
On a floor plan, \(\frac{1}{2}\) inch represents \(6\) feet. A wall is \(2\frac{1}{4}\) inches long on the plan. How long is the actual wall? A. 12 feet B. 18 feet C. 27 feet D. 30 feet
Question 9
The length of a rectangle is doubled and its width is tripled. The area of the new rectangle is how many times the area of the original rectangle? A. 5 B. 6 C. 9 D. 12
Question 10
The graph shows the number of students in four clubs. The number of students in Robotics is what percent greater than the number in Chess? A. \(50\%\) B. \(100\%\) C. \(120\%\) D. \(200\%\)
Question 11
A recipe uses \(750\) milliliters of milk. How many liters of milk are needed to make \(4\) batches? A. 0.3 B. 0.75 C. 3 D. 30
Question 12
Which line is parallel to the line \(y=-3x+4\)? A. \(y=3x+4\) B. \(y=-\frac{1}{3}x\) C. \(y=\frac{1}{3}x+4\) D. \(y=-3x-1\)
Question 13
The measures of the three angles of a triangle are in the ratio \(2:3:4\). What is the measure of the largest angle? A. \(40^\circ\) B. \(60^\circ\) C. \(80^\circ\) D. \(100^\circ\)
Question 14
The product of three consecutive integers is \(0\). What is the greatest possible sum of the three integers? A. \(-3\) B. 0 C. 1 D. 3
Question 15
If \(2a=3b\) and \(b=4c\), which expression is equal to \(a\)? A. \(6c\) B. \(8c\) C. \(3c\) D. \(12c\)
Question 16
The first three figures of a pattern are shown. Each figure adds a new ring of squares around the previous one. How many squares will Figure 6 have? A. 36 B. 41 C. 49 D. 61
Question 17
Spinner X has four equal sections numbered \(1\) to \(4\). Spinner Y has three equal sections numbered \(1\) to \(3\). Both are spun once. What is the probability that the sum of the two numbers is even? A. \(\frac{1}{3}\) B. \(\frac{1}{2}\) C. \(\frac{7}{12}\) D. \(\frac{2}{3}\)
Question 18
For any numbers \(a\) and \(b\) with \(a\neq b\), \(a\,\#\,b=\dfrac{a+b}{a-b}\). What is the value of \((5\,\#\,3)\,\#\,1\)? A. \(\frac{5}{3}\) B. 2 C. 3 D. 4
Question 19
A square and an equilateral triangle have the same perimeter. Each side of the triangle is \(8\) cm long. What is the area of the square? A. 16 cm\(^2\) B. 24 cm\(^2\) C. 36 cm\(^2\) D. 64 cm\(^2\)
Question 20
Two sides of a triangle are \(4\) cm and \(9\) cm long. Which could be the length of the third side? A. 4 cm B. 5 cm C. 11 cm D. 13 cm
Question 21
Which number is closest to the value of \(\dfrac{0.49\times81}{2.1}\)? A. 20 B. 40 C. 80 D. 160
Question 22
Compare the two quantities. Column A: \(0.3+0.3\) Column B: \(0.3\times0.3\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 23
Compare the two quantities. Column A: \(\frac{3}{4}\) of \(20\) Column B: \(\frac{5}{6}\) of \(18\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 24
Compare the two quantities. Column A: \(30\%\) of \(70\) Column B: \(70\%\) of \(40\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 25
\(x\) is an integer and \(-3 Column A: \(x^2\) Column B: \(4\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 26
\(4y-7=2y+5\) Compare the two quantities. Column A: \(y\) Column B: \(5\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 27
Compare the two quantities. Column A: the number of faces of a cube Column B: the number of vertices of a triangular prism A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 28
A fair coin is flipped three times. Compare the two quantities. Column A: the probability of getting three heads Column B: the probability of getting exactly two heads A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 29
A recipe uses \(2\) cups of flour for every \(3\) cups of milk. Compare the two quantities. Column A: cups of flour needed with \(12\) cups of milk Column B: cups of milk needed with \(6\) cups of flour A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 30
The data set is \(3,\ 7,\ 7,\ x\), where \(x>7\). Compare the two quantities. Column A: the mean of the data set Column B: the median of the data set A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 31
Line \(\ell\) passes through \((2,3)\) and \((5,9)\). Compare the two quantities. Column A: the slope of line \(\ell\) Column B: the \(y\)-intercept of line \(\ell\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 32
\(ABCD\) is a square with sides of length \(4\). \(E\) is the midpoint of \(\overline{CD}\). Compare the two quantities. Column A: the area of shaded triangle \(ABE\) Column B: the area of the unshaded part of the square A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 33
A circle has a circumference of \(10\pi\). A square has a perimeter of \(40\). Compare the two quantities. Column A: the area of the circle Column B: the area of the square A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 34
In a sequence, the first term is \(2\), and each term after that is \(2\) less than \(3\) times the term before it. Compare the two quantities. Column A: the \(5\)th term Column B: \(80\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 35
The table shows the test scores of a class of 10 students. Compare the two quantities. Score Number of students 70 3 80 5 90 2 Column A: the mean score Column B: the median score A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 36
Two fair number cubes are rolled. Compare the two quantities. Column A: the probability that the sum is a prime number Column B: \(\frac{1}{2}\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 37
\(a\) and \(b\) are positive numbers, and \(3a=4b\). Compare the two quantities. Column A: \(a\) Column B: \(b\) A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.