2025.9 International A

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

The number of muskrat in a 134-acre area is estimated to be 2,278. What is the estimated population density, in muskrat per acre, of this area?

  1. A17
  2. B134
  3. C151
  4. D2,295
AAlgebra / Linear functions word problem · Accuracy 99.58%
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2

The triangle shown has one side with a length of x inches and two sides each with a length of y inches. The perimeter of the triangle is 69 inches. Which equation represents this situation?

  1. Ax+y=69
  2. B2x+y=69
  3. Cx+2y=69
  4. D2x+2y=69
CGeometry and Trigonometry / General triangle · Accuracy 99.16%
3

A jar has 330 buttons, and 20% of these buttons are green. How many buttons in the jar are green?

66Problem Solving and Data Analysis / Percents · Accuracy 99.37%
4

In the ancient Roman measurement system, a leuga was a unit of length that was equal to 7,500 pedes. In this measurement system, how many pedes were equivalent to 3.8 leugas?

28500Problem Solving and Data Analysis / Units · Accuracy 98.2%
5

There are a total of 1,200 milligrams of phosphorus in a sample of soil. Each kilogram of this sample contains 600 milligrams of phosphorus. Which equation represents this situation, where x is the mass, in kilograms, of the sample of soil?

  1. Ax+600=1,200
  2. B1,200x=600
  3. Cx+1,200=600
  4. D600x=1,200
DAlgebra / Linear equation word problem · Accuracy 97.2%
6

The function f is defined by f(x)=1/2 (x+12). What is the value of f(6)?

  1. A36
  2. B24
  3. C18
  4. D9
DAlgebra / Linear functions word problem · Accuracy 99.47%
7

If 9x+4=32, what is the value of 3(9x+4)?

  1. A84
  2. B96
  3. C108
  4. D128
BAlgebra / Solve linear equation · Accuracy 99.58%
8

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 64°. What is the measure, in degrees, of angle F?

26Geometry and Trigonometry / Congruence and similarity · Accuracy 97.99%
9

A savings account is opened with an initial deposit of $7,000. The amount of money in the account t years after the initial deposit is given by the function f(t)=7,000(1.01)^2t. Which of the following is the best interpretation of the statement "f(3) is approximately equal to 7,430.64" in this context?

  1. A3 years after the initial deposit, the amount of money, in dollars, in the account is 7,430.64.
  2. BEvery 3 years, the amount of money, in dollars, in the account increases by 7,430.64.
  3. C3 years after the initial deposit, the amount of money, in dollars, in the account has increased by 7,430.64.
  4. DEvery 3 years, the amount of money, in dollars, in the account decreases by 7,430.64.
AAdvanced Math / Interpreting nonlinear expressions · Accuracy 98.25%
10

y=(x-3)(x+10)
Which table gives four values of x and the corresponding values of y for the given quadratic equation?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
CAdvanced Math / Quadratic word problems · Accuracy 99.04%
11

In the linear function f, f(0)=3 and f(5)=3. Which equation defines f?

  1. Af(x)=0
  2. Bf(x)=5
  3. Cf(x)=3
  4. Df(x)=x+3
CAlgebra / Linear equation word problem · Accuracy 97.91%
12

An arborist studying forestland in Illinois estimates that there are at least 50 and no more than 60 hickory trees per acre in a certain forest. Which of the following best represents the arborist's estimate of the number of hickory trees, x, that are in a 3-acre section of this forest?

  1. A180≤x≤360
  2. B150≤x≤180
  3. C53≤x≤63
  4. D50≤x≤60
BAlgebra / Linear inequality word problem · Accuracy 94.87%
13

For the polynomial function p, the graph of y=p(x) in the xy-plane crosses through the points (-4,0), (0,9), (6,0), and (17,0). What is the value of p(0)?

9Advanced Math / Polynomial factors and graphs · Accuracy 96.91%
14

The graph of -6x+4.4y=-660 in the xy-plane has intercepts at (a,0) and (0,b). What is the value of ab?

-16500Algebra / Graphing linear equations · Accuracy 89.47%
15

x+24y=60
5x+3y=27
The solution to the given system of equations is (x,y). What is the value of y?

2.333,7/3Algebra / Solving systems of linear equations · Accuracy 86.18%
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16

As part of a study on sedimentary habitats, the water temperature was recorded at different depths below the surface of the water in the northern Alboran Sea.
The data shown in the scatterplot give the recorded temperature, in degrees Celsius, for 7 depths, in meters, below the surface of the water.
Which of the following is closest to the slope of a line of best fit for the data shown?

  1. A-8.00
  2. B-6.00
  3. C-2.17
  4. D-0.17
DProblem Solving and Data Analysis / Scatter Plot · Accuracy 92.24%
17

a=3/11b+6
The given equation relates the positive numbers a and b. Which equation correctly expresses b in terms of a?

  1. Ab=3/11a+6
  2. Bb=3/11a-22
  3. Cb=11/3a-6
  4. Db=11/3a-22
DAdvanced Math / Isolating quantities · Accuracy 93.05%
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18

The shaded region shown represents the solutions to which inequality?

  1. Ay>3x+7
  2. By>3x-7
  3. Cy<3x+7
  4. Dy<3x-7
AAlgebra / Solve linear inequality · Accuracy 92.09%
19

The measure of an angle, in radians, is (93)(2)π. What is the measure of the angle, in degrees?

  1. A(93/2)(360)
  2. B(93)(360)
  3. C(93)(2)(360)
  4. D(180)(93)(360)
BGeometry and Trigonometry / Angles and Arc length · Accuracy 91.97%
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20

In triangles RST and XYZ shown, XY is parallel to TS and tanR=216/713. What is the value of sinX in triangle XYZ?

  1. A216/929
  2. B216/745
  3. C713/745
  4. D713/216
CGeometry and Trigonometry / Trigonometric functions · Accuracy 68.66%
21

|x+4|+4=|2x-17|+4
What is the smallest solution to the given equation?

4.333,13/3Advanced Math / Solving quadratic equations · Accuracy 83.25%
22

y=3x^2-24x+51
y+4=0
How many solutions are there to the given system of equations?

  1. AThere is exactly 1 solution.
  2. BThere are exactly 2 solutions.
  3. CThere are exactly 3 solutions.
  4. DThere are no solutions.
DAdvanced Math / linear and quadratic systems · Accuracy 93.46%

Module 2 (Advanced)

1

In triangle EFG, the sum of the measures of angles E and F is 31°. What is the measure of angle G?

  1. A31°
  2. B59°
  3. C118°
  4. D149°
DGeometry and Trigonometry / General triangle · Accuracy 89.02%
2

Which of the following lists represents a data set with the smallest standard deviation?

  1. A32, 33, 35, 37, 38
  2. B33, 33, 35, 37, 37
  3. C33, 34, 35, 36, 37
  4. D34, 35, 35, 35, 36
DProblem Solving and Data Analysis / Spread of distribution · Accuracy 96.98%
3

In triangle RST, RS=ST and the length of RT' is 48 units. If tanR=7/24, what is the area, in square units, of triangle RST?

  1. A84
  2. B168
  3. C288
  4. D336
BGeometry and Trigonometry / General triangle · Accuracy 77.76%
4

y=(x-21)(x-42)
y=0
The graphs of the equations in the given system of equations intersect at the point (x,y) in the xy-plane. What is a possible value of x?

  1. A0
  2. B2
  3. C42
  4. D63
CAdvanced Math / linear and quadratic systems · Accuracy 98.17%

The cost to rent a kayak consists of a fixed fee for the first hour and an hourly fee for each additional hour. The table shows the rental cost for 4 hours and for 6 hours.

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5

Which function f gives the rental cost, in dollars, for x hours rental, where x≥1?

  1. Af(x)=30x
  2. Bf(x)=20x
  3. Cf(x)=20x+10
  4. Df(x)=20x+90
CAlgebra / Linear functions word problem · Accuracy 98.88%
6

g(x)=(36-2x)(10+2x)
The function g is defined by the given equation. For what value of x does g(x) reach its maximum?

  1. A6.5
  2. B11.5
  3. C13
  4. D23
AAdvanced Math / Transform of quadratic expressions · Accuracy 96.84%
7

Rectangle X has a length of 24 millimeters (mm) and a width of 17.5 mm. Right triangle Y has a base of 20 mm. The area of rectangle X is 3 times the area of right triangle Y. What is the height, in mm, of right triangle Y?

  1. A7
  2. B14
  3. C21
  4. D42
BGeometry and Trigonometry / General triangle · Accuracy 87.54%
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8

There is a linear relationship between x and y. The table shows three values of x and their corresponding values of y in terms of a constant n. What is the slope of the line in the xy-plane that represents this relationship?

  1. A12
  2. B2
  3. C14/3
  4. D14
CAlgebra / Graphing linear equations · Accuracy 98.26%
9

If a=3k+5r and b=9k-12r+6, which expression is equivalent to a-b?

  1. A-6k+17r-6
  2. B-6k+17r+6
  3. C-6k-7r+6
  4. D-6k-7r-6
AAdvanced Math / Operations of polynomials · Accuracy 96.02%
10

An exponential function f is defined by f(x)=c^x, where c is a constant greater than 1. If f(8)=(49) • f(6), what is the value of c?

7Advanced Math / Exponential word problems · Accuracy 97.56%
11

The equation h=(9(v-273.15))/5+32 gives the corresponding temperature h, in degrees Fahrenheit, of any substance that has a temperature of v kelvins, where v>0. If a substance has a temperature of 557.33 degrees Fahrenheit, what is the corresponding temperature, in kelvins, of this substance?

565Algebra / Linear equation word problem · Accuracy 84.37%
12

81x^2+18/33x+p=0
In the given equation, p is a constant. The equation has exactly one real solution. What is the value of p?

  1. A33
  2. B2/33
  3. C33^2
  4. D33^(-2)
DAdvanced Math / Solving quadratic equations · Accuracy 95.29%
13

f(x)=3,600(0.28)^(x/12)
The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p% of its value
the preceding year, what is the value of p?

  1. A2
  2. B10
  3. C28
  4. D72
DAdvanced Math / Exponential word problems · Accuracy 89.81%
14

An equilateral triangle has a height of 49√3 units. What is the length, in units, of one side of this triangle?

  1. A98√3
  2. B98
  3. C49√3
  4. D49
BGeometry and Trigonometry / General triangle · Accuracy 92.59%
15

Which expression is NOT a factor of 7,290x^4-1,440?

  1. A9x^2+4
  2. B3x^2-2
  3. C3x+2
  4. D90
BAdvanced Math / Operations of polynomials · Accuracy 74.37%
16

2,590x=5,180x
How many solutions does the given equation have?

  1. AZero
  2. BExactly one
  3. CExactly two
  4. DInfinitely many
BAlgebra / Solve linear equation · Accuracy 84.62%
17

In the xy-plane, line r passes through the points (2,16) and (7, 17). Line s passes through the point (1, 2) and is perpendicular to line r. An equation of line s is ax+7y=c, where a and c are constants. What is the value of c?

49Algebra / Graphing linear equations · Accuracy 77.32%
18

If x-2=3, what is the value of 3(x-2)?

  1. A3
  2. B7
  3. C9
  4. D18
CAlgebra / Solve linear equation · Accuracy 99.49%

For 100 neurons, the table summarizes the distribution of classification and cell body diameter.

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19

One of these neurons will be selected at random. What is the probability of selecting a neuron with a cell body diameter that is less than or equal to 30 micrometers, given that it is not classified as a motor neuron? (Express your answer as a decimal or fraction, not as a percent.)

61/64,0.953,.9531Problem Solving and Data Analysis / Ratios and proportion · Accuracy 73.08%
20

The value of a toy increased by 193% from the end of 2016 to the end of 2017 and then decreased by 31% from the end of 2017 to the end of 2018. What was the net percentage increase in the value of the toy from the end of 2016 to the end of 2018?

  1. A102.17%
  2. B133.17%
  3. C162.00%
  4. D283.83%
AProblem Solving and Data Analysis / Percents · Accuracy 72.61%
21

5x+3y=6
The given equation is one equation in a system of two linear equations. If the system of equations has at least one solution, which of the following equations could be the other equation in the system?
I. 7.5x+4.5y=9
II. 7.5x-4.5y=9

  1. AI only
  2. BII only
  3. CI and II
  4. DNeither I nor II
CAlgebra / Solving systems of linear equations · Accuracy 74.19%
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22

In the figure shown, points A, B, C, and E lie on the circle, and AB<BC. Segment AC is perpendicular to segment BE at point D, and BD=DE=√398. The diameter of the circle is 201. If CD/AD=r what is the value of r?

199/2,99.5Geometry and Trigonometry / Circle theorems · Accuracy 65.45%