2025.6 International B

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

The table shows selected values from the function f.

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1

Which of the following is the best description of function f?

  1. AIncreasing linear
  2. BDecreasing linear
  3. CIncreasing exponential
  4. DDecreasing exponential
CProblem Solving and Data Analysis / Exponential growth · Accuracy 93.42%
2

The equation d=37w+100 gives the total amount of money d, in dollars, that Janna plans to save w weeks after she starts to save. What is the total amount of money, in dollars, she plans to save in 10 weeks?

  1. A420
  2. B470
  3. C520
  4. D570
BAlgebra / Linear functions word problem · Accuracy 99.55%
3

What value of n is the solution to the equation 9n-10=2n+25?

  1. A5
  2. B7
  3. C9
  4. D11
AAlgebra / Solve linear equation · Accuracy 99.09%
4

x^2-2=23
Which value is a solution to the given equation?

  1. A-23
  2. B-21
  3. C-2
  4. D5
DAdvanced Math / Solving quadratic equations · Accuracy 99.55%
5

f(x)=7x+9
The function f gives the estimated height, in feet, of a poplar tree x years after its height was first measured. Which statement is the best interpretation of 9 in this context?

  1. AThe tree will be measured each year for 9 years.
  2. BThe tree is estimated to grow to a maximum height of 9 feet.
  3. CThe estimated height of the tree increased by 9 feet each year.
  4. DThe estimated height of the tree was 9 feet when it was first measured.
DAlgebra / Interpreting linear equation · Accuracy 98.66%
6

The perimeter of a square can be expressed as 4(76) units. What is the length, in units, of a side of this square?

76Geometry and Trigonometry / General polygons · Accuracy 94.28%
7

Sonja purchased a laptop in September 2018 when the laptop had a value of $1,000. Each month for the next 50 months, the value of the laptop decreased by 2% of the previous month's value. Which equation represents this situation, where v is the value of the laptop, in dollars, m is the number of months since Sonja purchased the laptop, and m≤50 ?

  1. Av=2,018(0.98)^m
  2. Bv=2,018(2)^m
  3. Cv=1,000(0.98)^m
  4. Dv=1,000(2)^m
CAdvanced Math / Exponential word problems · Accuracy 98.18%
8

In triangle FGH, the measure of angle F is 63°. Which additional piece of information is sufficient to prove that triangle FGH is a right triangle?

  1. AThe length of FH is 63.
  2. BThe length of GH is 126.
  3. CThe measure of angle H is 27°.
  4. DThe sum of the measures of angles F, G, and H is 180°.
CGeometry and Trigonometry / Right triangle · Accuracy 97.67%
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9

In the figure shown, line r is parallel to line s. What is the value of x?

44Geometry and Trigonometry / Angles and Arc length · Accuracy 99.32%
10

11m=7(n+p)
The given equation relates the positive numbers m, n, and p. Which equation correctly gives n in terms of m and p?

  1. An=7p/11m
  2. Bn=11m/7-p
  3. Cn=7(11m)+p
  4. Dn=11m-7-p
BAdvanced Math / Isolating quantities · Accuracy 99.32%
11

A survey of the daily commuting times, in minutes, of seven different Chicago-based employees at a certain company yielded a data set consisting of the values 31, 13, 44, 32, 53, 22, and 44. A survey of the daily commuting times, in minutes, of seven different San Francisco-based employees at the same company yielded a data set consisting of the values 46, 31, 19, 33, 48, x, and 38. If the means of the two data sets are equal, what is the value of x?

24Problem Solving and Data Analysis / Mean, mode, median · Accuracy 92.51%
12

Which expression is equivalent to 5xy+30x^2y+35xy^2 ?

  1. A5xy(1+30x+35y)
  2. B5xy(1+6x+7y)
  3. C5xy(30x+35y)
  4. D5xy(6x+7y)
BAdvanced Math / Operations of polynomials · Accuracy 97.94%
13

A survey was conducted in Madison to estimate the percent of adult residents who support the addition of streetlights at every corner in their town. Based on the survey, it is estimated that 40% of all adult residents of Madison support the addition of streetlights at every corner in their town, with an associated margin of error of 6%. Which of the following is the most appropriate conclusion about all adult residents of Madison?

  1. APlausible values for the percent of all adult residents of Madison who support the addition of streetlights at every corner in their town are between 34% and 46%.
  2. BThe addition of streetlights at every corner in the town is supported by exactly 34% of all adult residents of Madison.
  3. CPlausible values for the percent of all adult residents of Madison who support the addition of streetlights at every corner in their town are either less than 34% or more than 46%.
  4. DThe addition of streetlights at every corner in the town is supported by more than 46% of all adult residents of Madison.
AProblem Solving and Data Analysis / Spread of distribution · Accuracy 97.64%
14

A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters, for a specific perennial flower species when fully grown. Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?

  1. A18<h<95
  2. B41<h<89
  3. C84<h<100
  4. D110<h<158
DAlgebra / Linear inequality word problem · Accuracy 98.17%
15

(2x^2+3x-3)-(7x^2+2x)
The given expression is equivalent to -5x^2+ax-3, where a is a constant. What is the value of a?

1Advanced Math / Operations of polynomials · Accuracy 96.72%
16

The kinetic energy K, in joules, of an object is given by the formula K=1/2mv^2, where m is the mass of the object, in kilograms, and v is the velocity of the object, in meters per second. If the kinetic energy of a certain object can be found by using the formula K=98v^2, what is the mass of the object, in kilograms?

  1. A9,604
  2. B196
  3. C98
  4. D49
BAdvanced Math / Quadratic word problems · Accuracy 97.86%
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17

The graph models the number of online newsletter subscribers at the end of every six-month period, where x is the number of six-month periods since the end of January 1995 and 0≤x≤4. Which statement is the best interpretation of the point (1, 600) in this context?

  1. AThe estimated number of online newsletter subscribers at the end of the first six-month period was 600.
  2. BThe estimated number of online newsletter subscribers increased every six months by 600 subscribers.
  3. CThe estimated number of online newsletter subscribers at the end of January 1995 was 600.
  4. DThe estimated number of online newsletter subscribers at the end of January 1996 was 600.
AAdvanced Math / Nonlinear equation graphs · Accuracy 90.98%

The table summarizes the number of objects in each group.

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18

The number of objects in group C is p% of the number of objects in group A. What is the value of p?

188Problem Solving and Data Analysis / Percents · Accuracy 89.91%
19

1/4(s+4t)=544
7s-8t=1,192
The solution to the given system of equations is (s,t). What is the value of s-t?

226Algebra / Solving systems of linear equations · Accuracy 89.64%
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20

Line k is shown in the xy-plane. Line j (not shown) is perpendicular to line k and passes through the point (7, 15). What is the y-coordinate of the y-intercept of line j?

  1. A-47/4
  2. B-3/2
  3. C4/5
  4. D47/5
DAlgebra / Graphing linear equations · Accuracy 87.33%
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21

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

33/5,6.6Algebra / Linear functions word problem · Accuracy 89.23%
22

y=-3x^2-40
y=qx-37
In the given system of equations, q is a positive constant. The graphs of the equations in the given system intersect at exactly one point,(x, y), in the xy-plane. What is the value of x?

  1. A-77
  2. B-43
  3. C-6
  4. D-1
DAdvanced Math / linear and quadratic systems · Accuracy 72.15%

Module 2 (Advanced)

1

For the linear function g, the graph of y=g(x) in the xy-plane has a slope of 3 and passes through the point (2, 28). Which equation defines g?

  1. Ag(x)=22x
  2. Bg(x)=22x+3
  3. Cg(x)=3x
  4. Dg(x)=3x+22
DAlgebra / Graphing linear equations · Accuracy 99.21%
2

If the equations -9x+y=17 and 9x+y=17 are graphed in the xy-plane, at what point (x, y) do the graphs intersect?

  1. A(0,17)
  2. B(0,9)
  3. C(9,0)
  4. D(17,0)
AAlgebra / Solving systems of linear equations · Accuracy 99.07%
3

A baker has a total of 15 cups of flour and enough other ingredients to make banana pancakes and apple pancakes. The baker needs 1.25 cups of flour for a batch of banana pancakes and 0.75 cups of flour for a batch of apple pancakes. If the baker makes 8 batches of banana pancakes, what is the greatest number of whole batches of apple pancakes the baker can make?

  1. A6
  2. B7
  3. C8
  4. D9
AAlgebra / Linear inequality word problem · Accuracy 95.15%
4

What is the y-intercept of the graph of y=6(7)^(x+2) in the xy-plane?

  1. A(0,6)
  2. B(0,84)
  3. C(0,294)
  4. D(0,1,764)
CAdvanced Math / Nonlinear equation graphs · Accuracy 98.28%
5

x^2-11x-3=0
What is a solution to the given equation?

  1. A(11+√(-11)^2-4(1)(-3))/(2(-3))
  2. B(11+√(-11)^2-4(1)(-3))/(2(1))
  3. C(3+√(-3)^2-4(1)(-11))/(2(-3))
  4. D(3+√(-3)^2-4(1)(-11))/(2(1))
BAdvanced Math / Solving quadratic equations · Accuracy 97.43%
6

2/5x+2/3y=5
Which table gives three values of x and their corresponding values of y for the given equation?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
DAlgebra / Linear equation word problem · Accuracy 95.26%
7

Ari examined a set of 86 plants. The lightest plant had a mass of 2.8 kilograms (kg) and the heaviest plant had a mass of 6.3 kg. Chihiro examined the same set of 86 plants and also an additional plant with a mass of 11.6 kg. Which of the following must be true about the set of plants that Ari examined and the set of plants that Chihiro examined?

  1. AThe standard deviation of the masses, in kg, of the plants that Ari examined is greater than the standard deviation of the masses, in kg, of the plants that Chihiro examined.
  2. BThe range of the masses, in kg, of the plants that Ari examined is greater than the range of the masses, in kg, of the plants that Chihiro examined.
  3. CThe median of the masses, in kg, of the plants that Ari examined is less than the median of the masses, in kg, of the plants that Chihiro examined.
  4. DThe mean of the masses, in kg, of the plants that Ari examined is less than the mean of the masses, in kg, of the plants that Chihiro examined.
DProblem Solving and Data Analysis / Spread of distribution · Accuracy 90.64%
8

3x+9y=10
rx+18y=20
In the given system of equations, r is a constant. The system has infinitely many solutions. What is the value of r?

  1. A2
  2. B3
  3. C6
  4. D9
CAlgebra / Solving systems of linear equations · Accuracy 98.57%
9

In triangle ABC, angle B is a right angle. The length of side AB is 10√41 and the length of side BC is 24√41. What is the length of side AC?

  1. A14√41
  2. B26√41
  3. C34√41
  4. D√34·41
BGeometry and Trigonometry / Right triangle · Accuracy 97.0%
10

m(t)=-0.0274(t/7)^2+7.3873(t/7)+75.032
The function m gives the predicted body mass m(t), in kilograms (kg), of a male giraffe t days after it was born in a wildlife reserve, where t≤390. Which of the following is the best interpretation of the statement “ m(140) is approximately equal to 212” in this context?

  1. AThe predicted body mass of a male giraffe was approximately 140 kg 212 days after it was born.
  2. BThe predicted body mass of a male giraffe was approximately 212 kg 140 days after it was born.
  3. CThe predicted body mass of a male giraffe was approximately 212 kg 140/7 days after it was born.
  4. DThe predicted body mass of a male giraffe was approximately 140/7 kg 212 days after it was born.
BAdvanced Math / Interpreting nonlinear expressions · Accuracy 95.62%
11

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 10 times the length of the corresponding side of ABCD. The area of ABCD is 140 square units. What is the area, in square units, of EFGH?

  1. A14
  2. B100
  3. C1,400
  4. D14,000
DGeometry and Trigonometry / Congruence and similarity · Accuracy 96.5%
12

A machine makes 8-inch, 5-inch, and 7- inch parts. During a certain day, the number of 8-inch parts that the machine makes is 3 times the number n of 5-inch parts, and the number of 7-inch parts is 12. During this day, the machine makes 100 parts total. Which equation represents this situation?

  1. A8(3n)+5n+7(12)=100
  2. B8n+5n+7n=100
  3. C3n+12=100
  4. D4n+12=100
DAlgebra / Linear equation word problem · Accuracy 81.84%
13

If 2+(1-x)/2=(-2(1-x))/3, what is the value of 1-x?

-12/7,-1.714Algebra / Solve linear equation · Accuracy 85.04%
14

An object's speed, in meters per hour, is increasing at a rate of 1,490 meters per hour per second. Which of the following is closest to this rate in feet per second squared? (Use 1 meter = 3.28 feet.)

  1. A0.126
  2. B1.36
  3. C7.57
  4. D81.5
BProblem Solving and Data Analysis / Units · Accuracy 82.83%
15

Which equation has no solution?

  1. A63x+36=9(7x+4)
  2. B63x+4=7x+4
  3. C63x+360=9(7x+16)
  4. D63x+36=9(7x+4)63x+51=-63x-51
CAlgebra / Solve linear equation · Accuracy 86.87%
16

f(x)=(x-a)(x-b)
The function f is defined by the given equation, where a and b are integer constants. If f(32)>0, f(35)<0, and f(38)>0, which of the following could be the value of a+b?

  1. A35
  2. B37
  3. C67
  4. D69
DAdvanced Math / Nonlinear equation graphs · Accuracy 84.19%
17

One gallon of sealant costs $13 and will cover 300 square feet of a surface. A deck has a total surface area of d square feet. Which equation represents the cost c, in dollars, of the sealant needed to cover the deck twice?

  1. Ac=300d/13
  2. Bc=600d/13
  3. Cc=13(d/150)
  4. Dc=13(d/300)
CAlgebra / Linear functions word problem · Accuracy 75.87%
18

√k-x=42-x
In the given equation, k is a constant. The equation has exactly one real solution. What is the minimum possible value of 4k?

167Advanced Math / Radical and rational exponent problems · Accuracy 72.94%
19

26z^18+bz^9+70
In the given expression, b is a positive integer. If qz^9+r is a factor of the expression, where q and r are positive integers, what is the greatest possible value of b?

1821Advanced Math / Transform of quadratic expressions · Accuracy 66.03%
20

In isosceles triangle ABC, sides AB and AC are congruent. Point D divides side BC such that the length of BD is 2/7 of the length of BC. Point E lies on side AB and point F lies on side AC such that when segments DE and DF are drawn, angle BED is congruent to angle CFD. If the length of BE is 14, what is the length of CF?

  1. A28
  2. B35
  3. C49
  4. D98
BGeometry and Trigonometry / Congruence and similarity · Accuracy 74.63%
21

In the xy-plane, a unit circle with center at the origin O contains point A with coordinates (1, 0) and point B with coordinates(-5/(√89),8/(√89)). If the measure of angle AOB is w radians, what is the value of tan w?

-8/5,-1.6Geometry and Trigonometry / Trigonometric functions · Accuracy 69.79%
22

x(kx-112)=-8
In the given equation, k is an integer constant. If the equation has two distinct real solutions, what is the greatest possible value of k?

391Advanced Math / Solving quadratic equations · Accuracy 81.09%