2025.3 International B

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

s=40+2t
The equation gives the speed s, in miles per hour, of a certain car t seconds after it began to accelerate. What is the speed, in miles per hour, of the car 4 seconds after it began to accelerate?

  1. A40
  2. B42
  3. C44
  4. D48
DAlgebra / Linear functions word problem · Accuracy 99.21%
image
2

Which equation shows the relationship between the side lengths of the given triangle?

  1. A8b=20
  2. B8+b=20
  3. C8^2+b^2=20^2
  4. D8^2-b^2=20^2
CGeometry and Trigonometry / Right triangle · Accuracy 99.8%
image
3

The histogram shows the distribution of 20 lengths, in feet, in a data set. The first bar represents the lengths that are less than 50 feet, the second bar represents the lengths that are at least 50 feet but less than 100 feet, and so on. Which of the following could be the maximum length, in feet, in this data set?

  1. A69
  2. B119
  3. C169
  4. D219
DProblem Solving and Data Analysis / Histogram · Accuracy 97.3%
4

The function f is defined by f(x)=8(2x+2). For what value of x does f(x)=80 ?

  1. A4
  2. B6
  3. C10
  4. D39
AAlgebra / Linear functions word problem · Accuracy 99.34%
5

y=-0.5
y=x^2+8x+a
In the given system of equations, a is a positive integer constant. The system has no real solutions. What is the least possible value of a?

16Advanced Math / linear and quadratic systems · Accuracy 81.19%
6

A line segment that has a length of 113 centimeters (cm) is divided into three parts. One part is 47 cm long. The other two parts have lengths that are equal to each other. What is the length, in cm, of one of the other two parts of equal length?

33Algebra / Linear equation word problem · Accuracy 98.8%
7

The price of an object increased from $16 to $80. What was the percent increase in the price of the object?

  1. A20%
  2. B64%
  3. C80%
  4. D400%
DProblem Solving and Data Analysis / Percents · Accuracy 97.13%

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

image
8

Which of the following equations best represents the line of best fit shown?

  1. Ay=x-16.3
  2. By=-x+16.3
  3. Cy=x-2.3
  4. Dy=-x+2.3
DProblem Solving and Data Analysis / Scatter Plot · Accuracy 96.53%
9

The expression 7x^6+9x^6-8x^6 is equivalent to bx^6, where b is a constant. What is the value of b?

8Advanced Math / Operations of polynomials · Accuracy 98.46%
10

At what point (x, y) do the graphs of the equations y=5x+8 and y=6x-2 intersect in the xy-plane?

  1. A(5,6)
  2. B(6,5)
  3. C(10,58)
  4. D(58,10)
CAlgebra / Solving systems of linear equations · Accuracy 99.2%
11

A rectangle has a length that is 72 times its width. The function y=(72w)(w) represents this situation, where y is the area, in square feet, of the rectangle and y>0. Which of the following is the best interpretation of 72w in this context?

  1. AThe length of the rectangle, in feet
  2. BThe area of the rectangle, in square feet
  3. CThe difference between the length and the width of the rectangle, in feet
  4. DThe width of the rectangle, in feet
AAdvanced Math / Interpreting nonlinear expressions · Accuracy 97.25%
12

f(x)=29
For the given linear function f , which table gives three values of x and their corresponding values of f(x)?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAlgebra / Linear functions word problem · Accuracy 95.45%
image
13

In the figure shown, line k intersects lines r and s, if w = 160, which additional piece of information is sufficient to prove that lines r and s are parallel?

  1. Ax=20
  2. By=160
  3. Cw+y=180
  4. Dy+z=180
BGeometry and Trigonometry / Angles and Arc length · Accuracy 96.45%
14

x^2-4x+y^2-8y-80=0
In the xy-plane, the graph of the given equation is a circle. If this circle is inscribed in a square. What is the perimeter of the square?

  1. A20
  2. B40
  3. C80
  4. D320
CGeometry and Trigonometry / Circle equation · Accuracy 83.12%
15

A real estate company offers a series of three webinars. 1,250 people attended the first webinar. 46% of the people who attended the first webinar attended the second webinar, and 32% of the people who attended the first and second webinars attended the third webinar. How many people attended all three webinars?

184Problem Solving and Data Analysis / Percents · Accuracy 88.87%
16

f(x)=24(2)^(x/6)
Which table gives four values of x and their corresponding values of f(x)for the given exponential function?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAdvanced Math / Exponential word problems · Accuracy 95.09%
17

A circle in the xy-plane has its center at (18, 16) and has a radius of 6k. Which equation represents this circle?

  1. A(x-18)^2+(y-16)^2=36k
  2. B(x-18)^2+(y-16)^2=36k^2
  3. C(x-18)^2+(y-16)^2=6k
  4. D(x-18)^2+(y-16)^2=6k^2
BGeometry and Trigonometry / Circle equation · Accuracy 95.85%
18

To study fluctuations in leaf water potential, samples of wood were taken from 22 trees cut in the shape of a cube. The length of the edge of one of these cubes is 3.000 centimeters. This cube has a density of 0.250 grams per cubic centimeter. What is the mass of this cube in grams?

6.75,6.750,27/4Geometry and Trigonometry / Volume · Accuracy 85.91%
19

The difference between the measure of angle A and the measure of angle B is -5/12π radians. Which expression shows the difference between the measure of angle A and the measure of angle B, in degrees?

  1. A-5/12•(180°)/π
  2. B-5/12π•π/(180°)
  3. C-5/12π•(180°)/π
  4. D-5/12π•(360°)/π
CGeometry and Trigonometry / Angles and Arc length · Accuracy 90.81%
20

x^2-84x-14=0
What is the sum of the solutions to the given equation?

  1. A0
  2. B7
  3. C14
  4. D84
DAdvanced Math / Transform of quadratic expressions · Accuracy 94.19%
image
21

For the right circular cone shown, B is a point on the circumference of the base, and the length of segment AB (not shown) is 32 centimeters. If the height of the cone is 16 centimeters and the volume of the cone is kπ cubic centimeters. What is the value of k?

4096Geometry and Trigonometry / Volume · Accuracy 85.19%
22

In the xy-plane, line k and line l are perpendicular and intersect at the point (2, 8). If line k is defined by the equation y=mx+b, where m and b are constants and m>1,which of the following points lies on line l?

  1. A(3,8-1/m)
  2. B(3,8+1/m)
  3. C(3,8-m)
  4. D(3,8+m)
AAlgebra / Solving systems of linear equations · Accuracy 82.49%

Module 2 (Advanced)

image
1

The graph shows the height above ground, in meters, of a ball x seconds after the ball was launched upward from a platform. Which statement is the best interpretation of the marked point (1.0, 3.9) in this context?

  1. A1.0 second after being launched, the ball's height above ground is 3.9 meters.
  2. B3.9 seconds after being launched, the ball's height above ground is 1.0 meter.
  3. CThe ball was launched from an initial height of 1.0 meter with an initial velocity of 3.9 meters per second.
  4. DThe ball was launched from an initial height of 3.9 meter with an initial velocity of 1.0 meters per second.
AAdvanced Math / Nonlinear equation graphs · Accuracy 98.78%
2

In one week in 2017, a technician earned a total of $700 by working at her regular job and at a second job doing part-time work. The equation 16h+13c=700 represents this situation, where h is the number of hours worked at her regular job and c is the number of hours worked at her second job. Which of the following is the best interpretation of 16 in this context?

  1. AThe amount, in dollars, the technician earned for each hour she worked at her regular job
  2. BThe amount, in dollars, the technician earned for each hour she worked at her second job
  3. CThe number of hours the technician worked in one week at her regular job
  4. DThe number of hours the technician worked in one week at her second job
AAlgebra / Interpreting linear equation · Accuracy 95.22%
3

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

  1. A44, 45, 47, 49, 50
  2. B45, 45, 47, 49, 49
  3. C45, 46, 47, 48, 49
  4. D46, 47, 47, 47, 48
DProblem Solving and Data Analysis / Spread of distribution · Accuracy 96.36%
image
4

In the figure shown, triangle CAE is similar to triangle CBD. The measure of angle CBD is 56°, and AE=24(BD). What is the measure of angle CAE?

  1. A24°
  2. B56°
  3. C(24+56°)
  4. D(24•56)°
BGeometry and Trigonometry / Congruence and similarity · Accuracy 98.78%
5

At a convention center, there are a total of 375 visitors. Each visitor is located in either room A, room B, or room C. If one of these visitors is selected at random, the probability of selecting a visitor who is located in room A is 0.64, and the probability of selecting a visitor who is located in room B is 0.32. How many visitors are located in room C?

  1. A4
  2. B15
  3. C77
  4. D120
BProblem Solving and Data Analysis / Percents · Accuracy 98.06%
6

y=x/4+6
y=-x/4+20
The solution to the given system of equations is (x, y). What is the value of 2y?

  1. A26
  2. B20
  3. C14
  4. D26 6
AAlgebra / Solving systems of linear equations · Accuracy 98.84%
7

In 5 days, a polar bear ate 22.0 pounds of fat. Which equation describes the amount of fat y, in pounds, the polar bear ate in these 5 days?

  1. Ay=22+5
  2. By=22
  3. Cy=22/5
  4. Dy=5
BAlgebra / Linear functions word problem · Accuracy 94.27%
8

A researcher observes a sample of a nuclide. An exponential model estimates that the mass, in grams, of the sample decreases by 22% every 11.11 minutes. Which of the following equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample?

  1. AM=100(0.22)^(t+11.11)
  2. BM=100(0.22)^(t/11.11)
  3. CM=100(0.78)^(t+11.11)
  4. DM=100(0.78)^(t/11.11)
DAdvanced Math / Exponential word problems · Accuracy 96.46%
9

Line k is defined by y=8x+7. Line j is parallel to line k in the xy-plane and passes through the point (0, 15). Which equation defines line j?

  1. Ay=15x+7
  2. By=-15x+7
  3. Cy=8x+15
  4. Dy=-8x+15
CAlgebra / Graphing linear equations · Accuracy 98.77%
10

For the linear function p, p(c)=-6, where c is a constant, p(5)=42 , and the slope of the graph ofy=p(x) in the xy-plane is 8. For the linear function t, t(c)=-7 and t(6)=56 . What is the slope of the graph of y=t(x) in the xy-plane?

  1. A-1
  2. B2
  3. C8
  4. D9
DAlgebra / Linear functions word problem · Accuracy 93.99%
11

If 2(4-5x)+7(4-5x)+9=8(4-5x)+6, what is the value of5x-4?

3Algebra / Solve linear equation · Accuracy 87.77%
image
12

The shaded region shown represents the solutions to rx+ty≥-44, where r and t are constants. What is the value ofr+t ?

  1. A-4
  2. B-3
  3. C3
  4. D5
DAlgebra / Linear inequality word problem · Accuracy 79.01%
13

f(x)=√3x+8
The function f is defined by the given equation. If f(a)=-9a , where a is a constant, what is the value of a?

  1. A1/3
  2. B8/27
  3. C-8/27
  4. D-1/3
CAdvanced Math / Radical and rational exponent problems · Accuracy 80.36%
14

7√p^4=t^(5/6)
In the given equation, p>1 and t>1 . If t=p^(2n-1) , where n is a constant, what is the value of n?

59/70,0.843,0.842,.8428,.8429Advanced Math / Radical and rational exponent problems · Accuracy 77.21%
15

The function f is a quadratic function. In the xy-plane, the graph ofy=f(x) has a vertex at (1,6) and passes through the points (2,40) and (-1,142). What is the value of f(-2)-f(0) ?

  1. A108
  2. B176
  3. C272
  4. D312
CAdvanced Math / Quadratic word problems · Accuracy 91.77%
16

Which expression is equivalent to 15(x+10)?

  1. A15x+10
  2. B15x+150
  3. C15x+25
  4. D15x+5
BAdvanced Math / Operations of polynomials · Accuracy 99.48%
image
17

The graph of y=f(x)+2 is shown. Which equation defines function f ?

  1. Af(x)=-5^x+1
  2. Bf(x)=-5^x+3
  3. Cf(x)=-5^x+4
  4. Df(x)=-5^x+5
BAdvanced Math / Nonlinear equation graphs · Accuracy 69.14%
18

A square map has a side length of 45 inches, and 1 inch on the map represents an actual distance of 13 miles. A smaller version of the same map is printed as a square with the side length 70% shorter than the side length of the previous map. On the smaller map, which of the following is closest to the actual distance, in miles, represented by 1 inch?

  1. A3.90
  2. B7.65
  3. C31.50
  4. D43.33
DProblem Solving and Data Analysis / Ratios and proportion · Accuracy 78.86%
19

7x2(4x -13) (4x-u)=0
In the given equation, u is a positive constant. The sum of the solutions to the equation is 25 . What is the value of u?

87Advanced Math / Polynomial factors and graphs · Accuracy 88.36%
20

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 59 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,475 cm². The volume of right rectangular prism Y is 1,500 cubic centimeters (cm³). What is the sum of the volumes, in cm³, of right rectangular prism X and right rectangular prism Y?

1512Geometry and Trigonometry / Congruence and similarity · Accuracy 75.25%
21

The function f is defined by f(x)=ab^(x/n) , where a, b, and n are constants, and b and n are integers. If f(2)=6 and f(5)=162, what is the value of f(7) ?

1458Advanced Math / Exponential word problems · Accuracy 76.09%
22

24x^2-(12a+2b)x+ab=0
In the given equation, a and b are positive constants. The sum of the solutions to the given equation is k(6a+b), where k is a constant. What is the value of k?

1/12,.0833,0.083Advanced Math / Transform of quadratic expressions · Accuracy 81.95%