2025.8 International B (Easy)

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

The equation x+y=1,440 represents the number of minutes of daylight (between sunrise and sunset), x, and the number of minutes of non-daylight, y, on a particular day in Des Moines, Iowa. If this day has 840 minutes of daylight, how many minutes of non-daylight does it have?

  1. A600
  2. B840
  3. C1,356
  4. D1,440
AAlgebra / Linear equation word problem · Accuracy 99.64%
2

A car travels at a speed of at least 25 miles per hour but no more than 65 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

  1. Ax≥25
  2. Bx≥65
  3. C25≤x≤65
  4. Dx≤90
CAlgebra / Linear inequality word problem · Accuracy 99.76%
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3

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

21Geometry and Trigonometry / Angles and Arc length · Accuracy 99.39%
4

The function f is defined by f(x)=4(2)^x. What is the value of f(x) when x=5?

  1. A25
  2. B32
  3. C100
  4. D128
DAdvanced Math / Exponential word problems · Accuracy 99.52%
5

12, 22, 24, 33, 39, 42, 44
The given list shows the 7 values in a data set. Which of the following data sets has the same median as the given list?

  1. A22,25,35,38,49,50,54
  2. B22,28,33,39,41,43,46
  3. C12,15,28,33,35,39,39
  4. D22,25,26,28,33,33,39
CProblem Solving and Data Analysis / Mean, mode, median · Accuracy 97.69%
6

If x/9x/9=5, what is the value of 9/x ?

  1. A1/45
  2. B1/5
  3. C5
  4. D45
BAdvanced Math / Rational transformation · Accuracy 99.15%
7

There are 350 objects in a bag. Of these objects, 4% are spheres. How many spheres are in the bag?

14Problem Solving and Data Analysis / Percents · Accuracy 98.17%
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8

For the triangles shown, triangle ABC is dilated by a scale factor of 3 to obtain triangle XYZ, where d=19. What is the measure, in degrees, of angle X?

  1. A20
  2. B57
  3. C60
  4. D63
CGeometry and Trigonometry / Congruence and similarity · Accuracy 97.32%
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9

The graph in the xy-plane models the possible combinations of length x, in meters (m), and width y, in meters, for a rectangle with a perimeter of 26 m. Which statement is the best interpretation of the point (4,9) in this context?

  1. AThe length is 9 m less than the perimeter, and the width is 4 m less than the perimeter.
  2. BThe length is 9 m, and the width is 4 m.
  3. CThe length is 4 m, and the width is 9 m.
  4. DThe length is 4 m less than the perimeter, and the width is 9 m less than the perimeter.
CAlgebra / Interpreting linear equation · Accuracy 93.42%
10

f(x)=x^4+8x+13
For the given function f, the graph of y=f(x) in the xy-plane passes through the point (0,b), where b is a constant. What is the value of b?

13Advanced Math / Nonlinear equation graphs · Accuracy 99.27%
11

Line k is defined by y=-22/3x+2. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?

3/22,0.136,.1363,.1364,.136Algebra / Graphing linear equations · Accuracy 95.13%
12

The area A, in square centimeters, of a rectangular painting can be represented by the expression w(w+79), where w is the width, in centimeters, of the painting. Which expression represents the length, in centimeters, of the painting?

  1. A79
  2. Bw(w+79)
  3. C(w+79)
  4. Dw
CAdvanced Math / Quadratic word problems · Accuracy 99.51%
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13

In triangle QRS, what is the value of tan y^(∘) ?

  1. A5/7
  2. B7/5
  3. Cc/5
  4. Dc/7
AGeometry and Trigonometry / Trigonometric functions · Accuracy 98.9%
14

x(x-13)(x+6)(x-5)^2=0
What is the greatest solution to the given equation?

13Advanced Math / Polynomial factors and graphs · Accuracy 99.51%
15

An object is launched from a height of 139 feet above the ground. A quadratic function f models the height above the ground, in feet, of the object t seconds after it is launched. According to the model, 2 seconds after the object is launched, it reaches a maximum height of 203 feet above the ground. Which equation defines f?

  1. Af(t)=-16(t+203)^2-2
  2. Bf(t)=-16(t-203)^2+2
  3. Cf(t)=-16(t+2)^2-203
  4. Df(t)=-16(t-2)^2+203
DAdvanced Math / Quadratic word problems · Accuracy 97.91%
16

x^2+52x+y^2=0
In the xy-plane, the graph of the given equation is a circle. What are the coordinates (x,y) of the center of the circle?

  1. A(0,26)
  2. B(0,-26)
  3. C(26,0)
  4. D(-26,0)
DGeometry and Trigonometry / Circle equation · Accuracy 93.36%
17

-0.9y=0.8x+2.2
4y=-3x+18
The solution to the given system of equations is (x,y). What is the value of x?

-50Algebra / Solving systems of linear equations · Accuracy 90.39%
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18

The shaded region shown represents the solutions to which inequality?

  1. Ay<-4x+6
  2. By<6x-4
  3. Cy>-4x+6
  4. Dy>6x-4
CAlgebra / Solve linear inequality · Accuracy 94.97%
19

f(x)=(a-18)/x+6
In the given function f, a is a constant. The graph of function f in the xy-plane, where y=f(x), is translated 3 units down and 9 units to the right to produce the graph of y=g(x). Which equation defines function g?

  1. Ag(x)=(a-18)/(x+9)+3
  2. Bg(x)=(a-18)/(x-9)+3
  3. Cg(x)=(a-21)/(x+9)+6
  4. Dg(x)=(a-21)/(x-9)+6
BAdvanced Math / Function notations and transforms · Accuracy 95.1%
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20

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 86 centimeters. If the height of the cone is 43 centimeters and the volume of the cone is kπ cubic centimeters, what is the value of k?

79507Geometry and Trigonometry / Volume · Accuracy 88.73%
21

The binomial x+28y is a factor of which of the following?

  1. Ax^2+29xy+28y^2
  2. Bx^2+29xy+29y^2
  3. Cx^2+84xy+84y^2
  4. Dx^2+58xy+87y^2
AAdvanced Math / Operations of polynomials · Accuracy 93.2%
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22

If a new graph of three linear equations is created using the system of equations shown and the equation x-6y=-36, how many solutions (x,y) will the resulting system of three equations have?

  1. AZero
  2. BExactly one
  3. CExactly two
  4. DInfinitely many
AAlgebra / Solving systems of linear equations · Accuracy 79.5%

Module 2 (Advanced)

1

The function g is defined by g(x)=25-x. What is the value of g(3)?

  1. A3
  2. B22
  3. C25
  4. D28
BAlgebra / Linear functions word problem · Accuracy 99.88%
2

Ellie deposited a total of $4,300 into two retirement accounts last year by depositing x dollars once each month into one account and y dollars twice each month into the other account. Which equation represents this situation?

  1. A4,300=12x+12y
  2. B4,300=12x+24y
  3. C4,300=24x+12y
  4. D4,300=24x+24y
BAlgebra / Linear equation word problem · Accuracy 96.9%
3

The ratio 10 to 2 is equivalent to the ratio 40 to 2k, where k is a constant. What is the value of k ?

  1. A0.5
  2. B4
  3. C8
  4. D80
BProblem Solving and Data Analysis / Ratios and proportion · Accuracy 97.02%
4

Which expression is equivalent to (4nr^2+6nr)+(7n^2r+2nr) ?

  1. A11n^2r^2+8nr
  2. B11n^3r^3+8n^2r^2
  3. C28n^3r^3+12n^2r^2
  4. D4nr^2+7n^2r+8nr
DAdvanced Math / Operations of polynomials · Accuracy 97.97%
5

R=0.43l/A
The given equation relates the resistance R, in ohms, of a wire to its length l, in meters, and its cross-sectional area A, in square meters. Which equation correctly expresses the length, in meters, of the wire in terms of its resistance, in ohms, and its cross-sectional area, in square meters?

  1. Al=(R-A)/0.43
  2. Bl=(R+A)/0.43
  3. Cl=0.43R/A
  4. Dl=AR/0.43
DAdvanced Math / Isolating quantities · Accuracy 98.92%
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6

The graphs of y=-3x+8 and y=x-4 are shown. Point P (not shown) has coordinates (3,-3) and lies in the shaded region. The coordinates of P satisfy which of the following inequalities?
I. y<-3x+8
II.y>x-4

  1. AI only
  2. BII only
  3. CI and II
  4. DNeither I nor II
  5. AI only
  6. BII only
  7. CI and II
  8. DNeither I nor II
AAlgebra / Solving systems of linear inequalities · Accuracy 87.78%
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7

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 that represents this relationship in the xy-plane?

7/4,1.75Algebra / Graphing linear equations · Accuracy 97.95%
8

If (1/2x-41/2)^2-64=0, what is the value of (x-41)^2 ?

  1. A256
  2. B128
  3. C41
  4. D8
AAdvanced Math / Transform of quadratic expressions · Accuracy 96.47%
9

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 66 square units. What is the area, in square units, of EFGH?

  1. A11
  2. B36
  3. C396
  4. D2,376
DGeometry and Trigonometry / Congruence and similarity · Accuracy 97.42%
10

On a plot of land, 52.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 28.5% of the square footage of the farmland, and there are buildings on exactly 11.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?

20.1Problem Solving and Data Analysis / Percents · Accuracy 86.76%
11

One of the factors of 8x^4+26x^2+21 is ax^2+b , where a and b are positive constants. Which of the following is a possible value of ab?

  1. A3
  2. B12
  3. C14
  4. D28
DAdvanced Math / Transform of quadratic expressions · Accuracy 83.05%

The scatterplot shows data set A, which consists of the weights y, in pounds, of a Labrador retriever puppy at various ages, x, in months. The equation of a line of best fit for the relationship in data set A can be written as y=-5.6+8.8x, where 2≤x≤6 .

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12

The puppy was weighed again at 9 months old and weighed 52 pounds. Data set B consists of all the data points in data set A as well as the data point (9, 52). The equation of a line of best fit for data set B can be written as y=r+sx , where r and s are constants and 2≤x≤9 . Assuming the equations of the lines of best fit are calculated in the same way, which of the following is the best estimate for the value of s?

  1. A5.9
  2. B8.8
  3. C14.4
  4. D17.8
AProblem Solving and Data Analysis / Scatter Plot · Accuracy 83.99%
13

For the linear function g, g(4)=10 and g(x+1)-g(x)=6. Which equation defines g?

  1. Ag(x)=4x+10
  2. Bg(x)=4x+6
  3. Cg(x)=6x-14
  4. Dg(x)=6x-24
CAlgebra / Linear equation word problem · Accuracy 97.09%
14

A book-of-the-month club charges $16 for the first book purchased during the month and an additional $12 for each book after the first. Which equation describes this situation, where y is the total cost, in dollars, for books purchased during a month, x is the number of books purchased during the month, and x>0 ?

  1. Ay=x+16
  2. By=12x+16
  3. Cy=12(x-1)+16
  4. Dy=(x-1)+16
CAlgebra / Linear functions word problem · Accuracy 98.11%
15

A company developed a plan to set the selling price of a product. The company determined that for a selling price of $90.00, zero products would be sold. For each $1.50 decrease in the selling price, the number of products sold would increase by one. For a revenue of exactly $1,336.50, which of the following could be the number of products sold?
(revenue = price × number of products sold)

  1. A27
  2. B30
  3. C831
  4. D1,350
AAdvanced Math / Quadratic word problems · Accuracy 89.8%
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16

The equation of the graph shown is y=a^x+b, where a and b are constants. What is the value of a-b?

12Advanced Math / Nonlinear equation graphs · Accuracy 78.5%
17

y=7x^2-bx-6
Which of the following equations is equivalent to the given equation, where b is a positive constant?

  1. Ay=7(x-b/14)^2-6-(b^2)/28
  2. By=7(x-b/14)^2-6
  3. Cy=7(x+b/14)^2-6-(b^2)/28
  4. Dy=7(x+b/14)^2-6
AAdvanced Math / Transform of quadratic expressions · Accuracy 86.54%
18

The equation d=8t+210 gives the distance d, in feet, from a reference point on the surface of Mars to a Mars rover, where t is the number of minutes after the start of a period of observation. By how many feet does the Mars rover’s distance from the reference point increase over a period of 20 minutes?

  1. A370
  2. B230
  3. C160
  4. D8
CAlgebra / Linear equation word problem · Accuracy 70.65%
19

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is (9x-650)^(∘) . The sum of the measures of one of the acute angles and three of the obtuse angles is (-18x+w)^(∘). What is the value of w?

1840Geometry and Trigonometry / Angles and Arc length · Accuracy 81.56%

The table summarizes the distribution of age and assigned group for 120 participants in a study.

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20

One of these participants will be selected at random. What is the probability of selecting a participant from group A, given that the participant is at least 10 years of age?

  1. A5/24
  2. B5/16
  3. C9/20
  4. D5/8
BProblem Solving and Data Analysis / Ratios and proportion · Accuracy 81.09%
21

A circle in the xy-plane has its center at (2,7). Line t is tangent to this circle at the point (a,-4), where a is a constant. The slope of line t is 6/5. What is the value of a?

  1. A-56/5
  2. B-43/6
  3. C67/6
  4. D76/5
DGeometry and Trigonometry / Circle theorems · Accuracy 76.34%
22

-x^2+bx-49=0
In the given equation, b is an integer. The equation has no real solutions. What is the least possible value of b?

-13Advanced Math / Solving quadratic equations · Accuracy 73.73%