Question 1
The graph shows the temperature recorded each hour one day. What is the difference between the highest and lowest temperatures shown? A. \(8^\circ\)F B. \(12^\circ\)F C. \(16^\circ\)F D. \(20^\circ\)F
ISEE Middle Level — Toiya Original Practice Test 3 — Mathematics Achievement
Toiya Original ISEE Middle Level Practice Test 3 — Mathematics Achievement.
47 questions · Free online practice
Open the interactive worksheetQuestion 2
What is the value of \(\dfrac{60(45+35)}{8}\)? A. 600 B. 1,200 C. 2,400 D. 4,800
Question 3
What is the length of one side of a square with a perimeter of 18.4? A. 3.68 B. 4.6 C. 6.13 D. 9.2
Question 4
On a map, 4 inches represent 18 miles. Two lakes are 14 inches apart on the map. How many miles apart are they? A. 8 B. 32 C. 63 D. 72
Question 5
A fruit stand sells fruit by the pound. FRUIT PRICES Fruit Price per pound Grapes \(\$2.45\) Cherries \(\$3.10\) Bananas \(\$1.75\) Blueberries \(\$4.20\) Plums \(\$2.80\) A customer buys one pound of each fruit. What is the total cost before tax? A. \(\$12.30\) B. \(\$13.30\) C. \(\$13.80\) D. \(\$14.30\)
Question 6
Between which two whole numbers is \(\sqrt{30}\)? A. 5 and 6 B. 6 and 7 C. 14 and 15 D. 15 and 16
Question 7
If \(N\) is a multiple of 4, which expression must also be a multiple of 4? A. \(2N+1\) B. \(3N+2\) C. \(N+6\) D. \(N^2+N\)
Question 8
What value of \(k\) makes \(-12-9=k\) true? A. \(-21\) B. \(-3\) C. 3 D. 21
Question 9
Three apples weigh the same as four oranges. If one orange weighs 6 ounces, how much does one apple weigh? A. 4.5 ounces B. 6 ounces C. 8 ounces D. 12 ounces
Question 10
What is the value of \(4.56\times0.01\)? A. 0.000456 B. 0.00456 C. 0.0456 D. 0.456
Question 11
The graph shows the number of books six students read this summer. What is the mode of the data? A. 7 B. 8 C. 9 D. 11
Question 12
Which expression has a value of \(-30\)? A. \(-6\times4-6\) B. \(6\times4-6\) C. \(-6\times4-(-6)\) D. \(6\times4-(-6)\)
Question 13
If \(\dfrac{15}{C}=\dfrac{20}{48}\), what is the value of \(C\)? A. 12 B. 23 C. 36 D. 43
Question 14
The two hexagons are similar (8 cm corresponds to 60 cm, and 14 cm corresponds to \(x\)). What is the value of \(x\)? A. 66 cm B. 98 cm C. 105 cm D. 112 cm
Question 15
In a class library, \(40\%\) of the books are fiction, \(35\%\) are mysteries, and the rest are biographies. If there are 280 books, how many are biographies? A. 70 B. 98 C. 112 D. 140
Question 16
The area of the whole square is 144 square centimeters. What is the area of the shaded region? A. \(4\text{ cm}^2\) B. \(5\text{ cm}^2\) C. \(16\text{ cm}^2\) D. \(20\text{ cm}^2\)
Question 17
Using the equation \(2x+6=14-y\), what is the value of \(2x+y\)? A. \(-8\) B. 4 C. 8 D. 20
Question 18
Lee rolls a number cube numbered 1 through 6 and spins a spinner with five equal sections colored red, blue, green, yellow, and purple. What is the probability that the cube shows 5 and the spinner lands on red? A. \(\tfrac1{30}\) B. \(\tfrac1{11}\) C. \(\tfrac2{15}\) D. \(\tfrac{11}{30}\)
Question 19
Omar read between 12 and 28 pages each day for 10 days. Each page has about 310 words. Which is a reasonable estimate of the total number of words he read? A. 6,000 B. 25,000 C. 60,000 D. 150,000
Question 20
What value of \(x\) makes the equation true? \(11.6+8.4=(9.5+6.5)x-28\) A. 2 B. 3 C. 4 D. 5
Question 21
What value of \(b\) makes the equation true? \(\dfrac{b}{15}=\dfrac{b+4}{18}\) A. \(-20\) B. 4 C. 15 D. 20
Question 22
A slide leans against a vertical pole and makes a \(34^\circ\) angle with the flat ground. What is the angle between the slide and the pole? A. \(34^\circ\) B. \(56^\circ\) C. \(66^\circ\) D. \(146^\circ\)
Question 23
What is the value of \(h\)? A. 7 B. 10 C. 12 D. 14
Question 24
Leo is four times as old as Sam. Sam is 9 years younger than Leo. How old is Sam? A. 3 B. 9 C. 12 D. 27
Question 25
Quadrilateral \(EFGH\) has been transformed to produce \(E'F'G'H'\). What type of transformation was performed? A. translation B. reflection C. rotation D. dilation
Question 26
What is the smallest prime factor of 75? A. 1 B. 3 C. 5 D. 25
Question 27
Ana has 2 times as many stamps as Ben. Cal has 5 times as many stamps as Ana. Which equation relates Cal's stamps, \(c\), to Ben's stamps, \(b\)? A. \(c=10b\) B. \(b=10c\) C. \(c=7b\) D. \(b=7c\)
Question 28
Six cards are numbered 2, 3, 5, 6, 8, and 9. One card is chosen at random. Which pair of events is complementary? A. choosing an even number and choosing a number greater than 5 B. choosing a number less than 4 and choosing a multiple of 3 C. choosing an odd number and choosing a multiple of 3 D. choosing a prime number and choosing a number that is not prime
Question 29
The figure shows the first four shapes in a pattern. How many squares will the sixth shape have? A. 15 B. 18 C. 21 D. 28
Question 30
What is the best estimate for \(48{,}000\div(19\times41)\)? A. 6 B. 60 C. 600 D. 800
Question 31
Two lines intersect, forming four angles. One angle measures \(38^\circ\). What is the value of \(p+q+r\)? A. \(142^\circ\) B. \(218^\circ\) C. \(284^\circ\) D. \(322^\circ\)
Question 32
Use the coordinate grid to answer the question. What is the difference between the greatest and least \(y\)-values of the graph? A. 3 B. 5 C. 7 D. 10
Question 33
Of the \(45\%\) of students who signed up for the science fair, \(\tfrac23\) finished their projects on time. What percent of all students signed up and finished on time? A. \(15\%\) B. \(30\%\) C. \(45\%\) D. \(67\%\)
Question 34
A number cube labeled 1 to 6 is rolled once. Which pair of events is complementary? A. rolling a number less than 3 and rolling a number greater than 3 B. rolling a prime number and rolling a composite number C. rolling a multiple of 3 and rolling a number that is not a multiple of 3 D. rolling an even number and rolling a 1 or a 3
Question 35
What is the slope of the line \(y=5-2x\)? A. \(-5\) B. \(-2\) C. 2 D. 5
Question 36
Two spinners are each numbered 1 through 4. Sara spins both and wants the probability that the sum is odd. In each grid, a cell such as \(3,2\) means 3 on the first spinner and 2 on the second. Which grid is shaded to show the outcomes Sara needs? A. Grid A B. Grid B C. Grid C D. Grid D
Question 37
Theo has already drunk \(\tfrac34\) of a bottle of juice in 3 minutes. At the same rate, how many seconds will it take him to drink the remaining juice? A. 30 seconds B. 45 seconds C. 60 seconds D. 240 seconds
Question 38
The equation \(y=18{,}000-240x\) models the value \(y\), in dollars, of a boat \(x\) months after it was bought. What is the slope? A. \(-18{,}000\) B. \(-240\) C. 240 D. 18,000
Question 39
Rectangle \(JKLM\) is similar to rectangle \(PQRS\). What is the ratio of a side of \(JKLM\) to the corresponding side of \(PQRS\)? A. \(5:3\) B. \(3:5\) C. \(3:2\) D. \(2:3\)
Question 40
The graph shows practice time and quiz scores. Using the line of best fit, what is the best estimate of the score for 50 minutes of practice? A. 65 B. 70 C. 75 D. 80
Question 41
The area of a kite is \(\tfrac12pq\), where \(p\) and \(q\) are the lengths of its diagonals. Kite \(ABCD\) has diagonal \(AC\) of 16 feet and an area of 96 square feet. What is the length of diagonal \(BD\)? A. 6 ft B. 12 ft C. 24 ft D. 80 ft
Question 42
A circle is inscribed in a square on a grid of 1-centimeter squares. What is the area of the shaded region? (Area of a circle \(=\pi r^2\)) A. \(50-25\pi\) B. \(100-25\pi\) C. \(100-50\pi\) D. \(100-100\pi\)
Question 43
The cost of a party, \(y\), for \(x\) guests is \(y=20x+75\). What does 20 represent? A. The party costs \(\$20\) when there are no guests. B. The party costs \(\$20\) for every 75 guests. C. At least 20 guests must attend. D. The cost increases by \(\$20\) for each additional guest.
Question 44
Jade picks a whole number from 1 to 6 and then a whole number from 7 to 12. What is the probability that both numbers are odd? A. \(\tfrac14\) B. \(\tfrac12\) C. \(\tfrac23\) D. \(\tfrac34\)
Question 45
A cylinder has a volume of \(36\pi\) cubic centimeters and a diameter of 6 centimeters. What is its height? \((V=\pi r^2h)\) A. 1 cm B. 2 cm C. 4 cm D. 6 cm
Question 46
Which expression is equivalent to \(\dfrac{\sqrt{36}-6x}{9\sqrt4}\)? A. \(\dfrac{1-x}{3}\) B. \(\dfrac{\sqrt{30x}}{\sqrt{36}}\) C. \(\dfrac{6x}{18}\) D. \(\dfrac{x}{3}\)
Question 47
Triangle \(PQR\) was transformed to produce triangle \(P'Q'R'\). Which of the following could NOT produce triangle \(P'Q'R'\) from triangle \(PQR\)? A. a reflection across the \(y\)-axis B. a rotation of \(180^\circ\) about the origin followed by a reflection across the \(x\)-axis C. a reflection across the \(x\)-axis followed by a rotation of \(180^\circ\) about the origin D. a translation 8 units to the right