SAT Pastpaper with Solutions | Global Test Academy Practice Test

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

Line S is defined by x-4y=24. Line t is perpendicular to line s in the xy-plane and passes through the points (k,0) and (60,-k). What is the value of k?

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

An event planner is planning an ice-skating event. It costs the event planner a one-time fee of $35 to rent the skating rink and $15.25 per attendee. The event planner has a budget of $225. What is the greatest number of attendees possible without exceeding the budget?

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

In the right triangle shown, a, b, and c are positive constants. For an acute angle D , $\sin {D=\frac {b} {c}}$ . What is the measure of angle D, in degrees?

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The quadratic equation ${(2x-64)}^{2}=a$ , where a is a constant, has exactly one real solution. What is the value of a?

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The equation

gives the total amount of money

, in dollars, that Janna plans to save

weeks after she starts to save. What is the total amount of money, in dollars, she plans to save in

weeks?

A250B300C350D400

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The given equation relates the real numbers , , and , where . Which equation correctly expresses in terms of and ?

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The area of triangle is 210 square centimeters. What is the height , in centimeters, of this triangle?

A10B21C42D84

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

What is the y-coordinate of the y-intercept of the graph of in the xy-plane?

A−35B−30C−20D−15

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The table shows the distribution of people in a certain city by age group.

Age group	Proportion
Less than 18 years old	28%
18-40 years old	24%
41-65 years old	22%
Greater than 65 years old	26%

If a person in this city is selected at random, which of the following is closest to the probability of selecting a person who is greater than 65 years old, given that the person is at least 18 years old?

A0.26B0.36C0.46D0.93

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The length of a rectangle's diagonal is

, and the length of one of the rectangle's sides is

. What is the perimeter of the rectangle?

A106B45C28D14

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

Circle A:

Circle B:

In the given equations, is a positive constant. Which statement correctly compares the graphs of circles A and B in the xy-plane?

ACircle B is the reflection of circle A across the x-axis.BCircle B is the reflection of circle A across the y-axis.CCircle B is the translation of circle A 14 units up.DCircle B is the translation of circle A 14 units to the right.

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

In the given equation, is a constant. The equation has exactly one solution. Which of the following CANNOT be the value of ?

A1B4C9D36

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

For the given data set, the data values are listed in ascending order, where , , and are constants. For this data set, the mean is 36, the median is 29, and the range is 72. What is the value of c?

A53B72C79D98

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

How many times does the graph of the given equation in the xy-plane cross the x-axis, where , , and are positive constants such that and ?

AZeroBOneCTwoDThree

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

One solution to the given equation can be written as , where and are integer constants. What is the value of ?

A−24B10C29D60

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

At different times on a certain day, a manager at a theme park recorded the number of visitors. An exponential model gives the estimated number of visitors,

, at the theme park

hours after the theme park opened, where

. Based on the model, 85 visitors were estimated to be at the theme park when it opened, and every 30 minutes the estimated number of visitors increased by 140% of the estimated number of visitors 30 minutes earlier. Which of the following equations best represents this model?

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The function

is defined by the equation

, where

and

are constants. In the xy-plane, the graph of

passes through the points

and

. If

, which of the following could be the value of

A−6B−5C5D6

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

An engineer connects resistors in series, where the resistors in the series have a total resistance of ohms. In this series, there are resistors of type A, which each have a resistance of ohms, and resistors of type B, which each have a resistance of ohms. The given equation represents this situation. According to this equation, what is the positive difference between the value of and the value of ?

A41B2C

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The functions and are defined by the given equations, where , and are integer constants, , and . If and are graphed in the xy-plane, which of the following equations displays, as a constant or coefficient, the minimum value of the function it defines, where ?

I. $f(x)=a{(0.63)}^{-bx}$

II. $g(x)=a{(1.37)}^{x+2}+b$

I only

II only

I and II

Neither I nor II

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

In triangle

, the measure of angle

, and the measure of angle

. If

, which of the following additional pieces of information is NOT sufficient to determine the values of

and

AThe value of

BThe value of

CThe value of

DThe value of

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

In 2013, Chloe earned 11% more than in 2012, and in 2014 Chloe earned 6% more than in 2013. If Chloe earned

times as much in 2012 as in 2014, which of the following is closest to the value of

A0.5455B0.6600C0.8499D1.1766

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Chapter 25 · 2025.11 : B-A (analysis included) · MATH 2

The scatterplot shows the relationship between the square footage of 12 clothing stores and their annual sales, in millions of dollars. According to the trend shown by the data, which of the following is the best prediction for the annual sales, in millions of dollars, of a clothing store that is 4 thousand square feet?

A4.1B5.4C7.5D10.2