Question 1
At a snack stand, a bottle of water costs \(\$3\) and a sandwich costs \(\$4\). How much do 6 bottles of water and 6 sandwiches cost? A. \(\$7\) B. \(\$18\) C. \(\$24\) D. \(\$42\)
ISEE Middle Level — Toiya Original Practice Test 3 — Quantitative Reasoning
Toiya Original ISEE Middle Level Practice Test 3 — Quantitative Reasoning.
37 questions · Free online practice
Open the interactive worksheetQuestion 2
The graph shows the number of visitors to an aquarium each day for a week. What is the difference in the number of visitors between Day 3 and Day 6? A. 450 B. 4,500 C. 45,000 D. 450,000
Question 3
The table shows the relationship between \(x\) and \(y\). \(x\) 0 3 6 9 \(y\) 0 2 4 6 If the pattern continues, what will be the value of \(y\) when \(x\) is 15? A. 6 B. 8 C. 10 D. 15
Question 4
The graph shows the points scored by five players in a game. What is the average number of points scored? A. 3 B. 5 C. 6 D. 9
Question 5
If \(4w+8=28\), what is the value of \(w+2\)? A. 5 B. 7 C. 14 D. 20
Question 6
The price of a smoothie increased by \(25\%\). If it used to cost \(\$3.20\), what does it cost now? A. \(\$3.45\) B. \(\$3.80\) C. \(\$4.00\) D. \(\$4.80\)
Question 7
A recipe makes enough cookies to serve 4 people for every 18 cookies. A baker has 45 cookies. Which proportion can be used to find how many people, \(p\), the 45 cookies will serve? A. \(\dfrac{45}{18}=\dfrac4p\) B. \(\dfrac{18}{p}=\dfrac{45}{4}\) C. \(\dfrac{p}{45}=\dfrac4{18}\) D. \(\dfrac{4}{45}=\dfrac{18}{p}\)
Question 8
A bakery made 240 loaves of bread this morning. The number of loaves left has decreased by \(35\%\). How many loaves are left? A. 24 B. 84 C. 96 D. 156
Question 9
The area of the shaded region is 27 square inches. What is the area of the largest triangle? A. \(36\text{ in}^2\) B. \(72\text{ in}^2\) C. \(108\text{ in}^2\) D. \(144\text{ in}^2\)
Question 10
A parking garage charges by the number of hours parked. PARKING FEES Hours Parked Fee (\(\$\)) 0–1 2 2–3 4 4–5 8 6–7 16 If the pattern continues, how long was a car parked if the fee was \(\$64\)? A. 4–5 hours B. 6–7 hours C. 8–9 hours D. 10–11 hours
Question 11
Five 12-ounce bottles of juice are shared at a picnic. Ana drinks \(\tfrac13\) of each bottle and Ben drinks \(\tfrac14\) of each bottle. How many ounces of juice are left in all? A. 25 B. 40 C. 45 D. 60
Question 12
Which expression has the greatest value? A. \(12-20\) B. \(-12-(-20)\) C. \(-12-20\) D. \(12-(-20)\)
Question 13
A kitchen scale showed each of 5 packages as 3 pounds heavier than its actual weight. The mean of the scale readings was 18 pounds. What is the actual mean weight of the packages? A. 9 pounds B. 12 pounds C. 15 pounds D. 21 pounds
Question 14
The net shown can be folded to make a cube. What is the surface area of the cube? A. \(25\text{ cm}^2\) B. \(100\text{ cm}^2\) C. \(125\text{ cm}^2\) D. \(150\text{ cm}^2\)
Question 15
In each figure, the square has sides of 8 centimeters, and each triangle has a base and a height of 4 centimeters. Which figure has a shaded area of \((8^2-4^2)\text{ cm}^2\)? (Area of a square: \(A=s^2\); area of a triangle: \(A=\tfrac12bh\)) A. B. C. D.
Question 16
Ava and Ben each run a dog-walking business. Ava earns 3 times as much as Ben each week. After 5 weeks, Ava has earned \(\$12{,}000\) more than Ben. Which equation can be used to find \(B\), the amount Ben earns each week? A. \(15B-12{,}000=5B\) B. \(15B+5B=12{,}000\) C. \(12{,}000-5B=15B\) D. \(15B+12{,}000=5B\)
Question 17
Two fair number cubes, each numbered 1 through 6, are rolled. Which statement about the probability that the sum is 4 or the probability that the sum is 9 is true? A. The probabilities are equal. B. The probability of a sum of 9 is less than the probability of a sum of 4. C. The probability of a sum of 4 is less than the probability of a sum of 9. D. The relationship cannot be determined from the information given.
Question 18
The graph shows the length of tutoring sessions and their cost. Using the line of best fit, what is the average cost per minute for a 30-minute session? A. \(\$0.80\) B. \(\$1.00\) C. \(\$1.20\) D. \(\$30.00\)
Question 19
A group of 6 numbers has a mean of \(-3\). One more number is added, and the new mean is 4 more than the original mean. What number was added? A. \(-25\) B. \(-11\) C. 11 D. 25
Question 20
Square P has an area of 25 square inches and Square Q has an area of 225 square inches. What is the ratio of a side of Square P to a side of Square Q? A. 1 to 9 B. 1 to 5 C. 1 to 3 D. 3 to 1
Question 21
Quantity A Quantity B \(20\%\) of 600 \(30\%\) of 400 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 22
Quantity A Quantity B The area of Figure 1 The area of Figure 2 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 23
Quantity A Quantity B \((3+4)^2\) \(3^2+4^2\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 24
One lap around a track is \(\tfrac18\) of a mile. Quantity A Quantity B 20 The number of laps that equal 3 miles A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 25
\(x-\tfrac23=\tfrac53\) Quantity A Quantity B \(x\) 2 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 26
Ana earns \(\$54\) working 6 hours. Raj earns \(\$80\) working 8 hours. Quantity A Quantity B The amount Ana earns working 12 hours The amount Raj earns working 11 hours A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 27
Twelve cards are numbered 1 through 12. One card is drawn at random. Quantity A Quantity B The probability of drawing a multiple of 4 The probability of drawing a number greater than 9 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 28
\(2-\tfrac13x=6\) and \(3y+4=31\) Quantity A Quantity B \(x\) \(y\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 29
\(x\) is a positive number. Quantity A Quantity B \(x^2\) \(x\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 30
All angles that appear to be right angles are right angles. Quantity A Quantity B The distance from point \(A\) to point \(B\) through point \(X\) The distance from point \(A\) to point \(B\) through point \(Y\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 31
Quantity A Quantity B \(\left(\sqrt{5+11}\right)^2\) \(4^2\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 32
Equation 1: \(m+3n=11\) Equation 2: \(3m+n=9\) Quantity A Quantity B \(m\) \(n^2\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 33
In the polygons shown, all lines that appear to be perpendicular are perpendicular. Quantity A Quantity B The perimeter of Polygon A The perimeter of Polygon B A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 34
A square 8 units on a side has a second square drawn inside it by joining the midpoints of its sides. Quantity A Quantity B The area of the shaded region The area of the unshaded region A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 35
Note: \(AB=AC\), \(a=50^\circ\) Quantity A Quantity B \(a+b\) \(c\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 36
\(W\) is a positive integer. Quantity A Quantity B \(\dfrac{3W+6}{3}-2\) \(W\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Question 37
A line is graphed with right triangles \(JKL\) and \(PQR\). Quantity A Quantity B \(\dfrac{JK}{KL}\) \(\dfrac{PQ}{QR}\) A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.