2025.3 International C

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 3 seconds after it began to accelerate?

  1. A40
  2. B42
  3. C43
  4. D46
DAlgebra / Linear functions word problem · Accuracy 99.7%
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2

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

  1. Ay=0.8+1.7x
  2. By=0.8-1.7x
  3. Cy=-0.8+1.7x
  4. Dy=-0.8-1.7x
AProblem Solving and Data Analysis / Scatter Plot · Accuracy 98.77%
3

The width of a rectangle is 5 centimeters. The length of the rectangle is 30 centimeters longer than the width. What is the area, in square centimeters, of this rectangle?

  1. A175
  2. B40
  3. C10
  4. D5
AGeometry and Trigonometry / General polygons · Accuracy 99.69%
4

If 7+x=3 , what is the value of 56+8x ?

24Algebra / Solve linear equation · Accuracy 97.05%
5

In one week in 2017, a technician earned a total of $1,055 by working at her regular job and at a second job doing part-time work. The equation 20h+17c=1,055 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 20 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 97.46%

The table shows the frequency of values in a data set.

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6

What is the minimum value of the data set?

  1. A1
  2. B6
  3. C20
  4. D26
CProblem Solving and Data Analysis / Table Data · Accuracy 96.11%
7

The list gives the mass, in grams, of 5 ruffed lemurs:
3,810; 3,810; 3,030; 3,850; 3,050
What is the mean mass, in grams, of these 5 ruffed lemurs?

3510Problem Solving and Data Analysis / Mean, mode, median · Accuracy 95.24%
8

x+7=13
y=5x^2+5
At what point (x,y) do the graphs of the equations in the given system intersect?

  1. A(6,180)
  2. B(6,185)
  3. C(13,5)
  4. D(13,850)
BAdvanced Math / linear and quadratic systems · Accuracy 99.69%
9

The expression 19x^5+20x^5-10x^5 is equivalent to bx^5, where b is a constant. What is the value of b?

29Advanced Math / Operations of polynomials · Accuracy 98.86%
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10

The point (v,-5) lies on the line shown. What is the value of v?

  1. A-72/11
  2. B-11/12
  3. C72/11
  4. D192/11
AAlgebra / Graphing linear equations · Accuracy 97.1%
11

f(x)=22
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 98.75%
12

At a convention center there are a total of 275 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 0.68, and the probability of selecting a visitor who is located in room B is 0.24. How many visitors are located in room C?

  1. A8
  2. B22
  3. C45
  4. D121
BProblem Solving and Data Analysis / Percents · Accuracy 97.82%
13

Which expression is equivalent to (133y)^(1/2), where y>1?

  1. A133•√y
  2. B√133•y
  3. C√133y
  4. D√(133y)^2
CAdvanced Math / Radical and rational exponent problems · Accuracy 98.75%
14

f(x)=-26(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 95.88%
15

The measure of angle B is 3π/4 radians. What is the value of sin(B) ?

  1. A-(√3)/2
  2. B-(√2)/2
  3. C1/2
  4. D(√2)/2
DGeometry and Trigonometry / Trigonometric functions · Accuracy 89.5%
16

A school is ordering tablet computers for its students. The tablets cost $164 each, and 6% tax is added to the total cost of the order. If the school can spend no more than 44,800 on the tablets, including tax, what is the maximum number of tablets that the school can order?

257Algebra / Linear inequality word problem · Accuracy 87.56%
17

A triangular prism has a height of 3 centimeters (cm) and a volume of 60 cm³. What is the area, in cm², of the base of the prism.?(The volume of a triangular prism is equal to Bh, where B is the area of the base and h is the height of the prism.)

20Geometry and Trigonometry / Volume · Accuracy 92.32%
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18

The graph of y=f(x) is shown, where f(x)=ab^x+c , and a, b, and c are constants. For how many values of x does f(x)=0 ?

  1. AThree
  2. BTwo
  3. COne
  4. DZero
DAdvanced Math / Nonlinear equation graphs · Accuracy 80.46%
19

x(x+4)-140=3x(x-10)
What is the sum of the solutions to the given equation?

  1. A6
  2. B10
  3. C14
  4. D17
DAdvanced Math / Transform of quadratic expressions · Accuracy 96.06%
20

-3x^2-7x+1=0
What is the greatest solution to the given equation?

  1. A-7/3+(√61)/3
  2. B-7/3-(√61)/3
  3. C-7/6+(√61)/6
  4. D-7/6-(√61)/6
CAdvanced Math / Solving quadratic equations · Accuracy 92.72%
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21

In triangle ABC, BC=36√3. What is the value of cos A ?

0.5,1/2Geometry and Trigonometry / Trigonometric functions · Accuracy 91.68%
22

The positive number a is 2,047% of the sum of the positive numbers b and c, and b is 89% of c. What percent of b is a?

  1. A21.36%
  2. B38.69%
  3. C2,300%
  4. D4,347%
DProblem Solving and Data Analysis / Percents · Accuracy 90.57%

Module 2 (Advanced)

1

How many solutions does the equation 2x-3=2x have?

  1. AZero
  2. BExactly one
  3. CExactly two
  4. DInfinitely many
AAlgebra / Solve linear equation · Accuracy 96.71%
2

In the linear function f, f(0)=2 and f(7)=2. Which equation defines f ?

  1. Af(x)=0
  2. Bf(x)=7
  3. Cf(x)=2
  4. Df(x)=x+2
CAlgebra / Linear functions word problem · Accuracy 97.62%
3

A rectangle has a length that is 92 times its width. The function y=(92w)(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 92w 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 98.95%
4

T(x)=67-8x
The function T estimates the temperature, in degrees Fahrenheit (°F), in a certain city one day in January, where x is the number of hours after 10 a.m. and 1≤x≤5 . According to the function, what was the estimated decrease in temperature each hour, in °F in this city during this time period?

  1. A4
  2. B8
  3. C59
  4. D67
BAlgebra / Linear functions word problem · Accuracy 97.24%
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 0.68, and the probability of selecting a visitor who is located in room B is 0.24. How many visitors are located in room C?

  1. A8
  2. B30
  3. C61
  4. D165
BProblem Solving and Data Analysis / Percents · Accuracy 98.66%
6

An object is launched from a height of 121 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 185 feet above the ground. Which equation defines f ?

  1. Af(t)=-16(t+185)^2-2
  2. Bf(t)=-16(t-185)^2+2
  3. Cf(t)=-16(t+2)^2-185
  4. Df(t)=-16(t-2)^2+185
DAdvanced Math / Quadratic word problems · Accuracy 96.4%
7

7y=-6x+2,550
24x-28y=1,800
The solution to the given system of equations is (x,y). What is the value ofx+y ?

400Algebra / Solving systems of linear equations · Accuracy 93.44%
8

To study fluctuations in leaf water potential, samples of wood were taken from 21 trees and 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 0.220 grams per cubic centimeter. What is the mass of this cube, in grams?

5.94,5.940Geometry and Trigonometry / Volume · Accuracy 90.86%
9

-2∣3x+7∣+8=-6
What are all solutions to the given equation?

  1. A0
  2. B0 and-8/3
  3. C0 and-14/3
  4. DThere is no solution.
CAlgebra / Solve linear equation · Accuracy 93.01%
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10

The graph shows a linear relationship between x and y. Which equation represents this relationship,where R is a positive constant?

  1. ARx+12y=18
  2. BRx-12y=-18
  3. C12x-Ry=-18
  4. D12x-Ry=18
CAlgebra / Linear functions word problem · Accuracy 80.36%
11

The function f is defined by f(x)=-10(3)^x+1/k , where k is a constant. If y=f(x) is graphed in the xy-plane, what is the y-coordinate of the y-intercept of the graph?

  1. A-10
  2. B(1-10k)/k
  3. C1/k
  4. D(1-k)/k
BAdvanced Math / Nonlinear equation graphs · Accuracy 94.35%
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12

The shaded region shown represents the solutions to rx+ty≥-36, where r and t are constants. What is the value of r+t ?

  1. A8
  2. B8
  3. C-2
  4. D-4
AAlgebra / Linear inequality word problem · Accuracy 82.37%
13

3x=45y-27
One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?

  1. Ax=5y
  2. B1/3x=5y
  3. Cx=15y-9
  4. D1/3x=15y-9
BAlgebra / Solving systems of linear equations · Accuracy 81.44%
14

A cooking school is offering a promotion where the first class is free, the second class is half of the regular price, and the remaining classes are regularly priced. If the regular price of a class is $22.80, which function f gives the total cost, in dollars, of x classes taken using this promotion, where x≥2 ?

  1. Af(x)=22.80(x-1)+11.40
  2. Bf(x)=22.80(x-2)+11.40
  3. Cf(x)=22.80(x-1)+11.40(x-2)
  4. Df(x)=22.80(x-2)+11.40(x-1)
BAlgebra / Linear functions word problem · Accuracy 87.65%
15

The function f is defined by f(x)=6x+14. What is the y-coordinate of the y-intercept of the graph of y=f(x) in the xy-plane?

14Algebra / Graphing linear equations · Accuracy 99.03%
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16

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

  1. Af(x)=-6^x+1
  2. Bf(x)=-6^x+3
  3. Cf(x)=-6^x+4
  4. Df(x)=-6^x+5
BAdvanced Math / Nonlinear equation graphs · Accuracy 74.86%
17

A square map has a side length of 55 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. C38.50
  4. D43.33
DProblem Solving and Data Analysis / Ratios and proportion · Accuracy 85.17%
18

y=x-c
y=-4(x-8)^2
In the given system of equations, c is a constant. The system has two distinct real solutions. Which of the following could be the value of c?

  1. A3
  2. B7
  3. C127/16
  4. D13
DAdvanced Math / Solving quadratic equations · Accuracy 85.63%
19

In triangle ABC, the measure of angle A is 52° and AC = 35. In triangle PQR, the measure of angle P is 52° and PR = 105. Which additional piece of information is sufficient to prove that triangle ABC is similar to triangle PQR?

  1. AAB = 30 and PQ = 30.
  2. BAB = 30 and QR = 90.
  3. CThe measures of angle B and angle R are 34° and 94°, respectively.
  4. DThe measures of angle B and angle Q are 52° and 34°, respectively.
CGeometry and Trigonometry / Congruence and similarity · Accuracy 72.26%
20

The perimeter of an equilateral triangle is 876 centimeters. The three vertices of the triangle lie on a circle. The radius of the circle is w√3 centimeters. What is the value of w?

292/3,97.33Geometry and Trigonometry / Circle theorems · Accuracy 66.4%
21

The function f is defined by f(x)=(∣x∣)/a-14 , where a<0. What is the product of f(15a)and f(8a) ?

638Advanced Math / Function notations and transforms · Accuracy 78.6%
22

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(4)=5 and f(7)=135 . What is the value of f(9) ?

1215Advanced Math / Exponential word problems · Accuracy 84.29%