SAT Pastpaper with Solutions

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 32 centimeters. If the height of the cone is 16centimeters and the volume of the cone is kπ cubic centimeters, what is the value of k.

To study fluctuations in leaf water potential,samples of wood were taken from 22 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 0.250 grams per cubic centimeter.What is the mass of this cubic in grams ?

Which table gives four values of x and their corresponding values of f(x) for the given exponential function ?
f(x)=24

Areal estate company offers a series of three webinars. 1,250 people attended the first webinar. 46% of the people who attended the first webinar attended the second webinar,and 32% of the people who attended the first and second webinars attended the third webinar.How many people attended all three webinars?

In the xy-plane. the graph of the given equation is a circle.If this circle is inscribed in a square, what is the perimeter of the square?
X²-4x+y²-8y-80=0

In the figure shown, line k intersects lines r and s.If w =160,which additional piece of information is sufficient to prove that lines r and s are parallel?

For the given linear function f, which table gives three values of a and their corresponding values of f(x) ?
f(x)=29

A rectangle has a length that is 72 times its width. The function y = (72w)(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 72w in this context?

At what point (x, y) do the graphs of the equations y = 5x+ 8 and y=6x - 2 intersect in the xy-plane?

The expression 7x⁶+9x⁶ - 8x⁶ 1 is equlvalent to bx⁶ , where b is a constant. What is the value of b?

The scatterplot shows the relationship between two variables,x and y. A line of best fit is also shown.which of the following equations best represents the line of best fit shown?

Christopher is planning a road trip and wants to rent a car. The car rental company charges a base fee of $30 plus $0.25 per mile driven. Christopher has budgeted $200 for the car rental.Which inequality represents the number of miles, m , that Christopher can pay for no more than $200?

A line segment that has a length of 113 centimeters (cm) is divided into three parts. One part is 47 cm long.The other two parts have lengths that are equal to each other What is the length, in cm, of one of the other two parts of equal length?

In the given equation, k is a constant. The equation has infinitely many solutions. what is the value of k?
7x+28=7x+k

The function f is defined by f(x)=13x-5 , and the function g is defined by g(x)=8-2x ,What is the value of 3f(2)-2g(1) ?

The histogram shows the distribution of 20 lengths, in feet, in a data set. The first bar represents the lengths that are less than 50 feet, the second bar represents the lengths that are at least 50 feet but less than 100 feet, and so on.Which of the following could be the maximum length, in feet, in this data set?

which equation shows the relationship between the side lengths of the given triangle?

The equation gives the speed s, in miles per hour, of a certaincar t seconds after it began to accelerate, what is the speed, inmiles per hour, of the car 4 seconds after it began to accelerate?
S=40+2t