# ISAT Mathematics Sample Questions

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Question 1 : What is the value of x in the triangle shown?

A. 54

B. 59

C. 49

D. 24

Question 2: Last year there were 80 students enrolled in the eighth-grade class. This year the number of students enrolled in the eighth-grade class increased by 10%. How many students are enrolled in the eighth-grade class this year?

A. 88

B. 8

C. 90

D. 81

Question 3 : A company packs its coffee into cylindrical containers. The height of each container is 6 inches, and the radius of the container is 3 inches.

Which is closest to the volume of one of these cylindrical containers?

A. 36 cubic inches

B. 113 cubic inches

C. 54 cubic inches

D. 170 cubic inches

Question 4 : The student council is making snack bags for a class trip. Each snack bag will contain:

• 1 type of drink

• 1 type of cookie

• 1 type of fruit

To make each snack bag, they will choose from 2 types of drinks, 4 types of cookies, and 2 types of fruit. How many combinations of 1 type of drink, 1 type of cookie, and 1 type of fruit are possible?

A. 48

B. 8

C. 3

D. 16

Question 5 : Which is closest to the circumference of this circle?

A. 14 inches

B. 63 inches

C. 20 inches

D. 28 inches

Question 7 : Which of the following is equivalent to the expression shown?

4x – 5 – 2x – 3

A. 6x + 2

B. 2x + 2

C. 6x – 8

D. 2x – 8

Question 8 : Between which two consecutive integers is ?

A. 6 and 7

B. 100 and 101

C. 75 and 76

D. 17 and 18

Question 10 : Amy has of a yard of string to make bracelets. Each bracelet requires of a yard of string. What is the greatest number of bracelets Amy can make with this length of string?

A. 3

B. 6

C. 4

D. 8

Question 11 : Look at the addition patterns below.

1 + 3 = 4

1 + 3 + 5 = 9

1 + 3 + 5 + 7 = 16

1 + 3 + 5 + 7 + 9 = 25

How many consecutive odd integers starting with 1 must be added to produce 64?

A. 8

B. 6

C. 7

D. 9

Question 12 : Which point on the number line below represents the value ?

A. Point Q

B. Point S

C. Point P

D. Point R

Question 14 : Paula multiplied a number by 16. Her result is a positive number less than 16. Which of these did Paula multiply by 16?

A. A number greater than one

B. A number less than zero

C. A number between zero and one

D. Zero

Question 15 : The circle graph below represents a total of 240 animals at a zoo. The shaded sector represents the number of monkeys at this zoo. How many monkeys are at this zoo?

A. 8

B. 20

C. 72

D. 30

Question 16 : The graph of a line contains the points (5, 3) and (5, -1). Which of the following must be true about the graph of this line?

A. The slope of the line is positive.

B. The slope of the line is negative.

C. The line intersects the x-axis.

D. The line intersects the y-axis.

Question 17 : Mike has only 2 red apples and 3 green apples in a bowl. Without looking he chooses an apple and gives it to his sister. Then he chooses an apple for himself. What is the probability that he and his sister will each get a red apple?

A. 30%

B. 40%

C. 10%

D. 60%

Question 18 : XYZ is similar to RST. What is the length of ?

A. 7.5 cm

B. 8.5 cm

C. 10 cm

D. 9 cm

Question 19 : Juan had a checking account with a balance of x dollars. After he withdrew y dollars, he had a balance of $100. Which of the following shows the correct relationship between x, y, and $100?

A. x – y > $100

B. x – y = $100

C. x + y = $100

D. $100

Question 19 : Juan had a checking account with a balance of x dollars. After he withdrew y dollars, he had a balance of $100. Which of the following shows the correct relationship between x, y, and $100?

A. x – y > $100

B. x – y = $100

C. x + y = $100

D. $100

Question 21 : The inequality 70° < x < 80° represents the range of the ideal water temperature, in degrees Fahrenheit, for Sammy's fish. Which statement is true about the situation? A. The ideal water temperature is less than 70 °F. B. The ideal water temperature is less than 70 °F or greater than 80 °F. C. The ideal water temperature is greater than 80 °F. D. The ideal water temperature is between 70 °F and 80 °F.

Question 22 : The scatter plot shows the math and reading test scores of nine students. Reading and Math Test Scores Based on the line of best fit, which is the best prediction for a reading test score when a student’s math test score is 90?

A. 90

B. 85

C. 95

D. 100

Question 23 : Which of the following equations represents the relationship between x and y in the table?

A. y = 2x

B. y = x + 2

C. y = 5x

D. y = 3x + 2

Question 27 : When filled to capacity, a container holds 4.6 liters of liquid. How many milliliters (mL) is this?

A. 4600 mL

B. 0.46 mL

C. 460 mL

D. 46 mL

Question 28 : Quadrilateral KLMN is an isosceles trapezoid with a perimeter of 32 cm. What is the area of quadrilateral KLMN?

A. 88 cm2

B. 44 cm2

C. 112 cm2

D. 55 cm2

Question 30 : The following pairs of numbers can be graphed on this number line. Which numbers have the same absolute value?

A. -3 and 3

B. 4 and -8

C. 5 and 10

D. -2 and -4

Question 33 : Malia has times more tennis balls than Jolie. Together they have 20 tennis balls. How many tennis balls does Malia have?

A. 8

B. 10

C. 12

D. 15

Question 34 : What is the surface area of this rectangular prism?

A. 135 square feet

B. 155 square feet

C. 180 square feet

D. 198 square feet

Question 35 : Which expression satisfies the pattern below?

A. n2

B. n3

C. 3n2

D. 4n2 – 3

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Malia has times more tennis balls than Jolie. Together they have 20 tennis balls. How many tennis balls does Malia have? i dont know how to find this.which method do we use to find this please help mw with this problem. thank you for reading this.

Ann Thomas on 09 Feb 2011i am a isat aspirant .please tell me wat is the full marks & the cutoff for isat 2011?

tom on 10 Mar 2011sir,

i am amrita dasgupta from west bengal.and am appearing for iist entrance exam this year.can you please send me few sites where i can get the sample question papers for mathematics,physics and chemistry.

amrita dasgupta on 09 Apr 2011Sir…

Can u please mail me these questions at [email protected] as the figures of the questions are not visible…

Deepak on 12 Apr 2011whats the solution to number 17 because im having problems on this one

joshua brown on 28 Aug 2011Paula multiplied a number by

16. Her result is a positive

number less than 16. Which of

these did Paula multiply by 16?

Asher on 05 Mar 2012this was a hard test oh my gosh why do we have to comment?! can i just see the results for my test

NONE on 03 Sep 2012