2025.12 US A

Math · 44 questions Go to Reading and Writing

Module 1 (Medium)

1

For a party, 51 hamburger buns are needed. Hamburger buns are sold in packages of 12. What is the minimum number of packages that should be bought for the party?

5Algebra / Linear inequality word problem · Accuracy 94.37%
2

An athlete swam a distance of 6,336 yards. How far did the athlete swim, in miles? (1 mile = 1,760 yards)

  1. A4,576
  2. B8,096
  3. C0.3
  4. D3.6
DProblem Solving and Data Analysis / Units · Accuracy 99.62%
3

The measure of angle F is 145 degrees. The measure of angle G is π/2 radians less than the measure of angle F. The measure of angle H is 10 degrees more than the measure of angle G. What is the measure of angle H, in radians?

  1. A13π/36
  2. B17π/36
  3. C25π/18
  4. D19π/18
AGeometry and Trigonometry / Angles and Arc length · Accuracy 96.2%
4

3x^2-30x+75=0
What is the solution to the given equation?

5Advanced Math / Solving quadratic equations · Accuracy 98.29%
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5

Line j is shown in the xy-plane. Line k (not shown) is parallel to line j. What is the slope of line k?

4Algebra / Graphing linear equations · Accuracy 89.2%
6

(z+2)(z-3)=0
What are all possible solutions to the given equation?

  1. A2 and 3
  2. B-2 and -3
  3. C2 and -3
  4. D-2 and 3
DAdvanced Math / Solving quadratic equations · Accuracy 99.62%

The values in data sets X and Y are shown in the table.

image
7

The standard deviation of data set X is q, and the standard deviation of data set Y is s. Which of the following statements about the standard deviation of the data sets is true?

  1. Aq<s
  2. BThe relationship between q and s cannot be determined.
  3. Cq>s
  4. Dq=s
DProblem Solving and Data Analysis / Spread of distribution · Accuracy 92.29%
8

Which expression is equivalent to (4a^2-9ab+7b^2)-(3a^2+ab-2b^2) ?

  1. Aa^2-10ab+9b^2
  2. Ba^4-10a^2b^2+9b^4
  3. Ca^4-8a^2b^2+5b^4
  4. Da^2-8ab+5b^2
AAdvanced Math / Operations of polynomials · Accuracy 95.83%
9

3x^2+x-6=0
What is the greatest solution to the given equation?

  1. A-1/6+(√73)/6
  2. B-1/6-(√73)/6
  3. C-1/3+(√73)/3
  4. D-1/3-(√73)/3
AAdvanced Math / Solving quadratic equations · Accuracy 97.95%
10

In triangle ABC, the measure of angle A is 30^(∘) and the measure of angle B is 90^(∘). If the length of side BC is 38 centimeters, what is the length, in centimeters, of side AB?

  1. A38√3
  2. B38√2
  3. C38
  4. D76
AGeometry and Trigonometry / Right triangle · Accuracy 94.13%
11

The function f(x)=-x(x-401), where 0≤x≤401, gives the speed, in meters per second, of a particle x seconds after it started traveling. If the function f is graphed in the xy-plane, where y=f(x), which statement is the best interpretation of the point (1, 400) on the graph?

  1. AThe particle's speed was 400 meters per second 1 second after it started traveling.
  2. BThe particle's initial speed was 400 meters per second when it started traveling.
  3. CThe particle's speed was 1 meter per second 400 seconds after it started traveling.
  4. DThe particle's speed increased by 400 meters per second each second after it started traveling.
AAdvanced Math / Quadratic word problems · Accuracy 96.56%
12

Which expression is equivalent to (9x^3+17x)-(4x^2+7x)?

  1. A9x^3-4x^2+24x
  2. B9x^3+4x^2+24x
  3. C9x^3-4x^2+10x
  4. D9x^3+4x^2+10x
CAdvanced Math / Operations of polynomials · Accuracy 97.33%
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13

Triangle TUV is dilated by a scale factor of 1/2 to obtain triangle T'U'V' (not shown), where T corresponds to T' and U corresponds to U'. What is the measure, in degrees, of angle V'?

  1. A68
  2. B24
  3. C66
  4. D48
BGeometry and Trigonometry / Congruence and similarity · Accuracy 97.5%
14

A triangle has a base length of 80 centimeters and a height of 30 centimeters. What is the area, in square centimeters, of the triangle?

1200Geometry and Trigonometry / General triangle · Accuracy 95.39%
15

y=17
y-x=0
Which of the following points (x, y) represents the solution to the given system of equations in the xy-plane?

  1. A(0,17)
  2. B(17,17)
  3. C(0,0)
  4. D(17,0)
BAlgebra / Solving systems of linear equations · Accuracy 99.04%
16

What is the y-intercept of the graph of y=4^(x+2) in the xy-plane?

  1. A(0,4)
  2. B(0,16)
  3. C(0,0)
  4. D(0,8)
BAdvanced Math / Nonlinear equation graphs · Accuracy 98.46%
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17

For a linear relationship between x and y, the table gives three values of x and their corresponding values of y, where t is a constant. Which equation represents this relationship?

  1. Ay=-2x+t+28
  2. By=2x+t+28
  3. Cy=28/17x+t+56
  4. Dy=-28/17x+t+56
CAlgebra / Linear functions word problem · Accuracy 92.13%
18

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

  1. A3
  2. B2
  3. C1
  4. D0
AAlgebra / Solve linear equation · Accuracy 98.27%
19

The function P(x)=685(1.128)^x models the number of gray seal pups each year from 1967 through 1997 on Sable Island, Nova Scotia, where x is the number of years after 1967. Which of the following is the best interpretation of " P(9) is approximately equal to 2,025" in this context?

  1. AThe number of gray seal pups is estimated to be 9 greater in 1976 than in 1967.
  2. BThe number of gray seal pups is estimated to be 9 times greater in 1976 than in 1967.
  3. CThe number of gray seal pups is estimated to be approximately 2,025 in 1976.
  4. DThe number of gray seal pups is estimated to increase by approximately 2,025 every 9 years between 1967 and 1976.
CAdvanced Math / Exponential word problems · Accuracy 96.79%
20

On January 1, there were 231 views of a video posted on a social media site. Every 2 days after January 1, the number of views of the video had increased by 60% of the number of views 2 days earlier. The function f gives the predicted number of views x days after January 1. Which equation defines f?

  1. Af(x)=231(0.60)^(x/2)
  2. Bf(x)=231(1.60)^(x/2)
  3. Cf(x)=231(0.60)^2x
  4. Df(x)=231(1.60)^2x
BAdvanced Math / Exponential word problems · Accuracy 97.73%
21

The function f is defined by f(x)=-3x+40. What is the value of f(x) when x=-7?

  1. A37
  2. B61
  3. C33
  4. D30
BAlgebra / Linear functions word problem · Accuracy 99.81%
22

Of the 300,000 people in a region, 174,000 people voted in an election. If p% is the percentage of people in that region voted in that election, what is the value of p?

58Problem Solving and Data Analysis / Percents · Accuracy 96.15%

Module 2 (Advanced)

1

In the linear function g, g(14)=28 and g(12)=35 . Which equation defines g?

  1. Ag(x)=-7/2x+32
  2. Bg(x)=-2/7x+77
  3. Cg(x)=-7/2x+77
  4. Dg(x)=-2/7x+32
CAlgebra / Graphing linear equations · Accuracy 95.3%
2

On January 1, there were 231 views of a video posted on a social media site. Every 3 days after January 1, the number of views of the video had increased by 55% of the number of views 3 days earlier. The function f gives the predicted number of views x days after January 1. Which equation defines f?

  1. Af(x)=231(0.55)^(x/3)
  2. Bf(x)=231(1.55)^(x/3)
  3. Cf(x)=231(0.55)^3x
  4. Df(x)=231(1.55)^3x
BAdvanced Math / Exponential word problems · Accuracy 98.11%
3

For which of the following triangles is cos P=1/2?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
CGeometry and Trigonometry / Trigonometric functions · Accuracy 85.77%
4

The function f is defined by f(x)=6(x-2)(x^2-k), where k is a constant. In the xy-plane, the graph of y=f(x) passes through the point (-1,80). What is the value of f(0)?

196/3,65.33Advanced Math / Nonlinear equation graphs · Accuracy 76.03%
5

The function f is defined by f(x)=2/15x. What is the slope of the graph of y=f(x) in the xy-plane?

  1. A15/2
  2. BThe slope is undefined.
  3. C2/15
  4. D0
CAlgebra / Graphing linear equations · Accuracy 98.11%
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6

The table shows three values of x and their corresponding values of f(x), where f(x)=(kx+45)/(x+3) and k is a constant. What is the value of k?

5Advanced Math / Rational transformation · Accuracy 94.65%
7

For angle A, the value of tan A=(√3)/3. Which of the following could be the measure of angle A, in radians?
I. 25π/6
II. 53π/6
III.77π/6

  1. AI and II only
  2. BI, II, and III
  3. CI and III only
  4. DI only
DGeometry and Trigonometry / Trigonometric functions · Accuracy 80.39%

The maximum temperature on April 1, in degrees Fahrenheit (°F), was recorded each year at a certain weather station for 11 years. The histogram summarizes the recorded data set.

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8

The temperature of 77.9°F is removed from this data set to create a new data set of 10 temperatures. Which of the following statements must be true?
I. The mean of the new data set is less than the mean of the original data set.
II. The median of the new data set is less than the median of the original data set.

  1. AI and II
  2. BII only
  3. CNeither I nor II
  4. DI only
  5. AI and II
  6. BII only
  7. CNeither I nor II
  8. DI only
DProblem Solving and Data Analysis / Mean, mode, median · Accuracy 82.66%
9

Line q in the xy-plane has a slope of 1/3 and passes through the point (0, 70). Which equation defines line q?

  1. Ay=1/3x-70
  2. By=1/3x+67
  3. Cy=1/3x+70
  4. Dy=1/3x-67
CAlgebra / Graphing linear equations · Accuracy 98.67%
10

Which expression is equivalent to (9x^3+17x)-(4x^2+7x) ?

  1. A9x^3-4x^2+24x
  2. B9x^3+4x^2+24x
  3. C9x^3-4x^2+10x
  4. D9x^3+4x^2+10x
CAdvanced Math / Operations of polynomials · Accuracy 98.48%
11

0.1323 is 0.09% of the number b . The number b is 75% of the number c. What is the value of c?

196Problem Solving and Data Analysis / Percents · Accuracy 87.83%
12

y≥33
For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

  1. A
    image
  2. B
    image
  3. C
    image
  4. D
    image
BAlgebra / Linear inequality word problem · Accuracy 98.47%
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13

Which expression represents the length of line segment AB?

  1. A19cos53^(∘)
  2. B19/(cos 53^(∘))
  3. C19sin53^(∘)
  4. D19/(sin 53^(∘))
CGeometry and Trigonometry / Trigonometric functions · Accuracy 91.46%
14

The expression √x^9k·5√x^13 , where k is a constant and x>0, is equivalent to (5√x)/(x^2). What is the value of k?

  1. A5/13
  2. B5/13-24/5
  3. C16/39
  4. D5/13-44/45
DAdvanced Math / Radical and rational exponent problems · Accuracy 89.48%
15

Before liftoff, one of a space shuttle's solid rocket boosters contained 478,000 kilograms (kg) of propellant. Exactly 17 seconds after liftoff, 392,949 kg of this propellant remained. On average, approximately how much propellant, in kg, did this solid rocket booster burn each second after liftoff?

  1. A51,232
  2. B5,003
  3. C23,115
  4. D85,051
BAlgebra / Linear functions word problem · Accuracy 98.29%
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16

The graph gives the estimated revenue, in dollars, for a company when the price of the company's product is x dollars. What does the y-value of the vertex of the graph represent in this context?

  1. AThe maximum estimated revenue, in dollars
  2. BThe price, in dollars, of the company's product
  3. CThe minimum estimated revenue, in dollars
  4. DThe estimated revenue, in dollars, when the price of the company's product is 0 dollars
AAdvanced Math / Nonlinear equation graphs · Accuracy 98.28%
17

If x=sqrt[n]7x^n+30x=2n√7x^n+30 , where n is a positive integer constant, what is the value of x^n?

10Advanced Math / Transform of quadratic expressions · Accuracy 79.6%
18

When x liters of a 40% acid solution is mixed with y liters of a 60% acid solution, 12 liters of a 50% acid solution is produced. Which system of equations represents this situation? (Assume that the volume of the mixture is the sum of the volumes of the two solutions before they were mixed.)

  1. Ax+y=0.50(12)
    0.40x+0.60y=0.50(12)
  2. Bx+y=0.50(12)
    0.50(x+y)=(0.60+0.40)(x+y)
  3. Cx+y=12
    0.40x+0.60y=0.50(12)
  4. Dx+y=12
    0.60x+0.40y=0.50(12)
CAlgebra / Systems of linear equations word problem · Accuracy 96.08%
19

The function P(x)=685(1.128)^x models the number of gray seal pups each year from 1967 through 1997 on Sable Island, Nova Scotia, where x is the number of years after 1967. Which of the following is the best interpretation of " P(28) is approximately equal to 19,968" in this context?

  1. AThe number of gray seal pups is estimated to be 28 times greater in 1995 than in 1967.
  2. BThe number of gray seal pups is estimated to increase by approximately 19,968 every 28 years between 1967 and 1995.
  3. CThe number of gray seal pups is estimated to be approximately 19,968 in 1995.
  4. DThe number of gray seal pups is estimated to be 28 greater in 1995 than in 1967.
CAdvanced Math / Exponential word problems · Accuracy 96.44%
20

4(x-2)=8(y+6)
3x-7y=0
The solution to the system is (x,y). What is the value of x-y?

  1. A-40
  2. B56
  3. C-56
  4. D40
BAlgebra / Solving systems of linear equations · Accuracy 95.23%
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21

Points A, B, and C lie on the circle as shown. If x=48, what is the measure, in degrees, of minor arc AC?

96Geometry and Trigonometry / Angles and Arc length · Accuracy 79.31%
22

Two participants solved a puzzle cube during timed competitions. The lists give the times, to the nearest second, that participant A and participant B took to solve the cube at various competitions.
Participant A: 23, 23, 24, 27
Participant B: 23, 23, 24, 27, 39
Which statement correctly compares the mean solve times, to the nearest second, of participant A and participant B at these competitions?

  1. AThe mean solve time of participant A is greater than the mean solve time of participant B.
  2. BThere is not enough information to compare the mean solve times of participant A and participant B.
  3. CThe mean solve time of participant A is less than the mean solve time of participant B.
  4. DThe mean solve time of participant A is equal to the mean solve time of participant B.
CProblem Solving and Data Analysis / Spread of distribution · Accuracy 97.71%