2025.10 International A

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

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1

The graph of a system of linear equations is shown. What is the solution (x,y) to the system?

  1. A(5,3)
  2. B(4,3)
  3. C(3,3)
  4. D(0,3)
BAlgebra / Solving systems of linear equations · Accuracy 97.97%
2

The area of a rectangle is 70 square inches. The length of the longest side of the rectangle is 14 inches. What is the length, in inches, of the shortest side of this rectangle?

  1. A5
  2. B14
  3. C28
  4. D56
AGeometry and Trigonometry / General polygons · Accuracy 99.59%

Each rock in a collection of 70 rocks was classified as either igneous, metamorphic, or sedimentary, as shown in the frequency table.

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3

If one of these rocks is selected at random, what is the probability of selecting a rock that is igneous?

  1. A10/24
  2. B10/36
  3. C10/60
  4. D10/70
DProblem Solving and Data Analysis / Ratios and proportion · Accuracy 98.49%

For certain air temperatures, the table gives wind chill temperatures for two different wind speeds.

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4

According to the table, what is the wind chill temperature, in degrees Fahrenheit (° F), when the air temperature is 27° F and the wind speed is 20 miles per hour (mph)?
(Disregard the degree symbol when entering your answer.)

13Problem Solving and Data Analysis / Table Data · Accuracy 98.16%
5

j/5=k+9m
The given equation relates the distinct positive numbers j, k, and m. Which equation correctly expresses j in terms of k and m?

  1. Aj=k+5(9m)
  2. Bj=5(k+9m)
  3. Cj=5k+9m
  4. Dj=(k+9m)/5
BAdvanced Math / Isolating quantities · Accuracy 98.76%
6

The function h is defined by h(x)=5|x|. What is the value of h(-4)?

  1. A-20
  2. B1
  3. C9
  4. D20
DAlgebra / Linear functions word problem · Accuracy 99.17%
7

A student council group is selling car stickers for a fundraiser. They use the function p(x)=5x-210 to determine their profit p(x), in dollars, for selling x car stickers. In order to earn a profit of $800, how many car stickers must they sell?

202Algebra / Linear functions word problem · Accuracy 93.5%
8

For two acute angles X and Y, the measure of angle Y is 32° and (sin X)/(cos Y)=1. What is the measure, in degrees, of angle X?

  1. A77
  2. B58
  3. C45
  4. D32
BGeometry and Trigonometry / Trigonometric functions · Accuracy 91.63%
9

Charles saves 4/5 of the $230 he earns each week from his summer job. If Charles continues to save at this rate, how much money, in dollars, will Charles save in 3 weeks?

552Algebra / Linear functions word problem · Accuracy 95.56%
10

If x/y=64 and cx/4y=64, what is the value of c?

  1. A4
  2. B16
  3. C64
  4. D256
AAdvanced Math / Rational transformation · Accuracy 98.75%
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11

Line k is shown in the xy-plane. Line n (not shown) is perpendicular to line k and passes through the point (5, 6). Which equation defines line n?

  1. Ay=-6/5x+2
  2. By=-6/5x+12
  3. Cy=6/5x+2
  4. Dy=6/5x+12
BAlgebra / Graphing linear equations · Accuracy 94.48%
12

If 7(6-9x)+4=6(6-9x)+19, what is the value of 6-9x?

  1. A-15
  2. B-1
  3. C1
  4. D15
DAlgebra / Solve linear equation · Accuracy 98.75%
13

Trapezoid CDEF is similar to trapezoid JKLM, such that C, D, E, and F correspond to J, K, L, and M, respectively. The length of each side of trapezoid JKLM is 4 times the length of its corresponding side in trapezoid CDEF. The measure of angle C is 42°. What is the measure of angle J?

  1. A38°
  2. B42°
  3. C46°
  4. D168°
BGeometry and Trigonometry / Congruence and similarity · Accuracy 98.92%
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14

The table gives the average time t, in minutes, it takes Adriana to travel a certain distance d, in miles. Which equation could represent this linear relationship?

  1. At=50d
  2. Bt=1/2d
  3. Ct=2d
  4. Dt=1/50d
AAlgebra / Linear equation word problem · Accuracy 89.4%
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15

In right triangle ABC, the tangent of ∠C is 3/4. What is the length of AB ?

  1. A35/16
  2. B15/4
  3. C54
  4. D72
CGeometry and Trigonometry / Trigonometric functions · Accuracy 96.78%
16

f(x)=x^2-12x+30
What is the minimum value of the given function?

  1. A-12
  2. B-6
  3. C6
  4. D30
BAdvanced Math / Transform of quadratic expressions · Accuracy 90.32%
17

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 97.76%
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18

For the linear function f, the table shows three values of x and their corresponding values of f(x). Function f is defined by f(x)=rx+s, where r and s are constants. What is the value of rs?

216Algebra / Linear functions word problem · Accuracy 88.81%
19

x(x+9)-13=0
What are the solutions to the given equation?

  1. Ax=(9±√29)/2
  2. Bx=(9±√133)/2
  3. Cx=(-9±√29)/2
  4. Dx=(-9±√133)/2
DAdvanced Math / Solving quadratic equations · Accuracy 91.77%
20

2|5x-5|=11
What is the sum of the solutions to the given equation?

2Algebra / Solve linear equation · Accuracy 93.01%
21

The positive number a is 290% of the number b and a is 90% of the number c. If c is p% of b , which of the following is closest to the value of p?

  1. A211
  2. B222
  3. C261
  4. D322
DProblem Solving and Data Analysis / Percents · Accuracy 93.72%
22

A computer program models the total mass of the population of a certain type of algae after the algae was placed in an environment where it has no natural predators. According to the model, the estimated total mass of this population of algae at the end of every 6-hour period is 129% greater than the estimated total mass of this population of algae at the end of the previous 6-hour period, and the estimated total mass of this population of algae is 613.90 grams after 18 hours. Which equation best represents this model, where A is the estimated total mass, in grams, of the population of algae after x hours, and x<50?

  1. AA=34.11(1.29)^(x/6)
  2. BA=34.11(2.29)^(x/6)
  3. CA=51.12(2.29)^(x/6)
  4. DA=285.98(1.29)^(x/6)
CAdvanced Math / Exponential word problems · Accuracy 80.0%

Module 2 (Advanced)

1

A giant panda is predicted to have a mass between 1/950and 1/850 times its mother's mass when it is born. If its mother is predicted to have a mass of 95,950 grams when the giant panda is born, which inequality best represents the prediction of the giant panda's mass p, in grams, when it is born?

  1. A10.1≤p<11.289
  2. B101≤p<112.89
  3. C1,010≤p<1,128.9
  4. D10,100≤p<11,289
BAlgebra / Linear inequality word problem · Accuracy 98.38%
2

Which expression is equivalent to 9yz^3+6yz+3yz^3?

  1. A12yz^3+6yz
  2. B12yz^6+6yz
  3. C18yz^6
  4. D18yz^7
AAdvanced Math / Operations of polynomials · Accuracy 99.6%
3

A sum of 9,000 dollars was invested in a certificate of deposit (CD) that earns interest, and no other deposits or withdrawals were made after that. The function f(x)=9,000(1+0.03)^x gives the value of the CD, in dollars, x years after the investment was initially made, where x≤5. Which of the following is the best interpretation of the statement “f(2) is approximately equal to 9,474.08” in this context?

  1. AThe value of the CD would be approximately 9,474.08 dollars if invested at 2% interest.
  2. B9,474.08 days after the investment was made, the value of the CD was approximately 2 times greater than its initial value.
  3. C2 years after the investment was made, the value of the CD was approximately 9,474.08 dollars.
  4. D2 years after the investment was made, the value of the CD was approximately 9,474.08 dollars greater than its initial value.
CAdvanced Math / Exponential word problems · Accuracy 98.51%
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4

What is an equation of the graph shown?

  1. A49x-35y=-126
  2. B35x-49y=-126
  3. C7x-5y=-126
  4. D5x-7y=-126
BAlgebra / Graphing linear equations · Accuracy 89.05%
5

5y=6x+17
-5y=7x-23
The solution to the given system of equations is (x,y). What is the value of 39x?

  1. A-18
  2. B-6
  3. C6
  4. D18
DAlgebra / Solving systems of linear equations · Accuracy 94.85%
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6

The shaded region shown represents the solutions to which inequality?

  1. Ay>4x+3
  2. By>4x-3
  3. Cy<4x+3
  4. Dy<4x-3
AAlgebra / Solve linear inequality · Accuracy 89.54%
7

A circle in the xy-plane has its center at (-5, 2) and the point (-9, 5) lies on the circle. Which equation represents this circle?

  1. A(x-5)^2+(y+2)^2=5
  2. B(x+5)^2+(y-2)^2=5
  3. C(x-5)^2+(y+2)^2=25
  4. D(x+5)^2+(y-2)^2=25
DGeometry and Trigonometry / Circle equation · Accuracy 95.14%
8

y<-3x+18
Which point (x,y) is a solution to the given inequality in the xy-plane?

  1. A(0,19)
  2. B(-1,22)
  3. C(-3,0)
  4. D(7,-1)
CAlgebra / Solve linear inequality · Accuracy 95.93%
9

18(x+5)=2(x+c)+16x
In the given equation, c is a constant. The equation has infinitely many solutions. What is the value of c?

  1. A90
  2. B45
  3. C10
  4. D5
BAlgebra / Solve linear equation · Accuracy 96.61%
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10

The table shows three values of x and their corresponding values of y. There is a quadratic relationship between x and y. An equation that represents this relationship can be written as y=36x^2-bx-120, where is a constant. What is the value of b?

196Advanced Math / Quadratic word problems · Accuracy 88.14%
11

Hannah and Wyatt are saving money to purchase a car. Hannah saves 1/5 of her salary each month, and Wyatt saves 2/7 of his salary each month. Together, they save a total of $3,270 from their monthly salaries each month. If h and w represent Hannah's and Wyatt's monthly salaries, in dollars, respectively, which equation shows the relationship between h and w ?

  1. Ah+w=3,270
  2. Bh+2w=3,270
  3. C10h+7w=114,450
  4. D7h+10w=114,450
DAlgebra / Linear equation word problem · Accuracy 95.8%
12

The function h is defined by h(x)=(x+p)(x-4)(2x-12), where p is a constant. In the xy-plane, the graph of y=h(x) passes through the point (-2,0). What is the value of h(0)?

  1. A-48
  2. B-2
  3. C8
  4. D96
DAdvanced Math / Polynomial factors and graphs · Accuracy 94.86%
13

x-a=(x-a)(x-24)
Which of the following are solutions to the given equation, where a is a constant and a>25?
I. a
II. 24
III. 25

  1. AI and II only
  2. BI and III only
  3. CII and III only
  4. DI, II, and III
BAdvanced Math / Solving quadratic equations · Accuracy 80.9%
14

If √x-1=2 , what is the value of (x-1)?

  1. A2
  2. B3
  3. C4
  4. D8
CAdvanced Math / Radical and rational exponent problems · Accuracy 99.46%
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15

The figure shows a rectangular pool surrounded by a concrete path that is x feet (ft) wide on all sides. The pool is 21 ft long and 11 ft wide. The area of the concrete path is 144ft². What is the value of x?

  1. A2
  2. B4
  3. C18
  4. D36
AAdvanced Math / Quadratic word problems · Accuracy 79.15%

At a nature preserve, a wildlife biologist counted bald eagles from an observation deck at the same time each day for 21 days. The table summarizes the resulting data set, data set A.

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16

The data value 19 was recorded in error and is removed from data set A to create data set B, which consists of the remaining 20 data values. Which statement best compares the median of data set A and the median of data set B?

  1. AThe median of data set B is less than the median of data set A.
  2. BThe median of data set B is equal to the median of data set A.
  3. CThe median of data set B is greater than the median of data set A.
  4. DThere is not enough information to compare the medians of the two data sets.
BProblem Solving and Data Analysis / Mean, mode, median · Accuracy 85.73%
17

One gallon of paint will cover 70 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

  1. AP=w/70
  2. BP=70w
  3. CP=140w
  4. DP=w/35
DAlgebra / Linear equation word problem · Accuracy 78.31%
18

f(x)=4^(-5(x+1))
Which of the following equivalent forms of the given function f displays, as the base or the coefficient, the y-coordinate of the y-intercept of the graph of y=f(x)in the xy-plane?

  1. Af(x)=1/(1,024)(1/4)^5x
  2. Bf(x)=(1/4)^(5x+5)
  3. Cf(x)=4^(-5x-5)
  4. Df(x)=1,024^(-x-1)
AAdvanced Math / Exponential word problems · Accuracy 77.15%
19

3√117n(4√117n)^2
For what value of x is the given expression equivalent to (117n)^12x where n>1?

5/72,0.069,.0694Advanced Math / Radical and rational exponent problems · Accuracy 75.85%
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20

The table shows the volume of two similar solids, right circular cylinder A and right circular cylinder B. The radius of right circular cylinder A is 7 units. The surface area of right circular cylinder A is kπ square units, and the surface area of right circular cylinder B is nπ square units, where k and n are constants. What is the value of n-k? (The surface area of a right circular cylinder with radius r and height h is 2πr^2+2πrh.)

1680Geometry and Trigonometry / Congruence and similarity · Accuracy 73.68%
21

In triangle RST, angle T is a right angle, point L lies on RS, point K lies on ST, and LK is parallel to RT. If the length of RT is 63 units, the length of LK is 21 units, and the area of triangle RST is 252 square units, what is the length of KT, in units?

16/3,5.333Geometry and Trigonometry / Congruence and similarity · Accuracy 72.38%
22

A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two species. At the end of the week, the number of prey had increased by 1,900% of the number of prey at the start of the week, and the number of predators had increased by 150% of the number of predators at the start of the week. The number of prey at the end of the week was p% greater than the number of predators at the end of the week. What is the value of p?

700Problem Solving and Data Analysis / Percents · Accuracy 65.98%