SAT Pastpaper with Solutions

The table above shows the distribution of age and gender for 25 people who entered a contest If the contest winner will be selected at random, what is the probability that the winner will be either a female under age 40 or a male age 40 or older?

The graph below shows the total number of music album sales, in millions, each year from 1997 through 2009 Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009?

The table above shows some values of the linear function f Which of the following defines f?

At Lincoln High School, approximately 7 percent of enrolled juniors and 5 percent of enrolled seniors were inducted into the National Honor Society last year If there were 562 juniors and 602 seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors and seniors at Lincoln High School last year who were inducted into the National Honor Society?

If w = , what is the value of w?

The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation y= 0.56x+ 27.2, where x represents the number of years since 2000, and y represents the average number of students per classroom Which of the following best describes the meaning of the number 0.56 in the equation?

Nate walks 25 meters in 13.7 seconds If he walks at this same rate, which of the following is closest to the distance he will walk in 4 minutes?

The chart above shows approximations of the acceleration due to gravity in meters per second squared ( ) for the eight planets in our solar system The weight of an object on a given planet can be found by using the formula W= mg, where W is the weight of the object measured in newtons, m is the mass of the object measured in kilograms, and g is the acceleration due to gravity on the planet measured in

What is the weight, in newtons, of an object on Mercury with a mass of 90 kilograms?

The chart above shows approximations of the acceleration due to gravity in meters per second squared ( ) for the eight planets in our solar system The weight of an object on a given planet can be found by using the formula W= mg, where W is the weight of the object measured in newtons, m is the mass of the object measured in kilograms, and g is the acceleration due to gravity on the planet measured in

An object on Earth has a weight of 150 newtons On which planet would the same object have an approximate weight of 170 newtons?

If the function f has five distinct zeros, which of the following could represent the complete graph of f in the xy-plane?

The cost of using a telephone in a hotel meeting room is $0.20 per minute Which of the following equations represents the total cost c, in dollars, for h hours of phone use?

In order to determine if treatment X is successful in improving eyesight, a research study was conducted From a large population of people with poor eyesight, 300 participants were selected at random Half of the participants were randomly assigned to receive treatment X, and the other half did not receive treatment X The resulting data showed that participants who received treatment X had significantly improved eyesight as compared to those who did not receive treatment X Based on the design and results of the study, which of the following is an appropriate conclusion?

Graphs of the functions f and g are shown in the xy-plane above For which of the following values of x does f (x) +g (x)=0?

S(P)= p+40 D(P)=220−p
The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product The functions above are the estimated supply and demand functions for a certain product The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars How will the quantity of the product supplied to the market change if the price of the product is increased by $10?

S(P)= p+40 D(P)=220−p
The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product The functions above are the estimated supply and demand functions for a certain product The function S(P) gives the quantity of the product supplied to the market when the price is P dollars, and the function D(P) gives the quantity of the product demanded by the market when the price is P dollars At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?

Graphene, which is used in the manufacture of integrated circuits, is so thin that a sheet weighing one ounce can cover up to 7 football fields If a football field has an area of approximately 1 acres,about how many acres could 48 ounces of graphene cover?

Michael swam 2,000 yards on each of eighteen days The scatterplot above shows his swim time for and corresponding heart rate after each swim The line of best fit for the data is also shown For the swim that took 34 minutes, Michael's actual heart rate was about how many beats per minutes less than the rate predicted by the line of best fit?

Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?

The sum of three numbers is 855 One of the numbers, x, is 50% more than the sum of the other two numbers What is the value of x?

The angles shown above are acute and sin(a°) = cos(b°) If a= 4k − 22 and b= 6k − 13, what is the value of k?

Mr Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class If he gives each student 3 milliliters of solution, he will have 5 milliliters left over In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters How many students are in the class?

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above Of the following, which is closest to the volume of the grain silo, in cubic feet?

In the xy-plane, the line determined by the points (2, k) and (k, 32) passes through the origin Which of the following could be the value of k?

A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent If these alterations decreased the area of the rectangle by 12 percent, what is the value of p?

In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by 10 percent every 20 years If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city t years from now?

The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students at Keisel Middle School There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed

3x+b=5x −7 3y+c=5y−7
In the equations above, b and c are constants If b is c minus , which of the following is true?

If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes , the average number of shoppers in the store , N , at any one time is given by the formula N=rT . This relationship is known as Little's law. The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time. The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours , an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? ( Note: Ignore the percent symbol when entering your answer. For example, if the answer is 42.1%, enter 42.1)

If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for an average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT This relationship is known as Little's law The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time Little's law can be applied to any part of the store, such as a particular department or the checkout lines The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line At any time during business hours, about how many shoppers, on average , are waiting in the checkout line to make a purchase at the Good Deals Store?

y≤−15x+3000
y≤5x
In the xy‑plane, if a point with coordinates (a,b) lies in the solution set of the system of inequalities above, what is the maximum possible value of b?

An online store receives customer satisfaction ratings between 0 and 100, inclusive In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

In a circle with center O, central angle AOB has a measure of  radians. The area of the sector formed by central angle AOB is what fraction of the area of the circle?

(−3x² + 5x − 2) − 2(x² − 2x − 1)
If the expression above is rewritten in the form ax²+bx+c , where a, b, and c are constants, what is the value of b?

Ages of the First 12 United States Presidents at the Beginning of Their Terms in Office

The table above lists the ages of the first 12 United States presidents when they began their terms in office According to the table, what was the mean age, in years, of these presidents at the beginning of their terms? (Round your answer to the nearest tenth)

Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than $14 on x student tickets and 1 adult ticket , what is one possible value of x?

A group of friends decided to divide the $800 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those  remaining still divided the $800 cost equally, but each friend's share of the cost increased by $20. How many friends were in the group originally?