SAT Pastpaper with Solutions

The table shows the exponential relationship between the number of years, x, since Hana started training in pole vault, and the estimated height , in meters, of her best pole vault for that year. Which of the following functions best represents this relationship, where ?

The function models the population of a certain town each year from 1951 through 1966, where is the number of years after 1951. Which of the following is the best interpretation of " is approximately equal to 563 " in this context?

For a certain rectangular region, the ratio of its length to its width is 10 to 4. If the width of the rectangular region increases by 7 units, how must the length change to maintain this ratio?

The expression is equivalent to the expression , where a,b, and c are constants. What is the value of b?

Rectangles ABCD and EFGH are similar, The length of each side of EFCH is 6 times the length of the corresponding side of ABCD, The area of ABCD is 96 square units. What is the area, in square units, of EFGH?

Data set A:8,11,12,15,21,27
Data set B: 9,12,13,16,22,h
Data sets A and B each consist of 6 values as shown, where h is a constant. If the standard deviation of data set A is greater than the standard deviation of data set B, which of the following could be the value of h?
I 23
II 28
III 29

A certain open star cluster contains M-type stars and K-type stars. The estimated total mass of M-type and K-type stars in this open star cluster is 132,778 quettagrams. The graph shown models the possible combinations of the number of M-type stars, x, and K-type stars, y, that could be in this open star cluster if all the M-type stars have the same estimated mass and all the K-type stars have the same estimated mass, Based on the graph, which of the following is closest to the estimated mass, in quettagrams, of each M-type star in this cluster?

The function f is defined by. In the xy-plane, the graph of is the result of translating the graph of up 4 units. What is the value of ?

At a depth of h meters below the surface, the estimated total pressure , in kilopascals (kPa), a diver experienced is given by , which is a combination of estimated water pressure and estimated atmospheric pressure. After maintaining a certain depth, the diver descended d additional meters. The estimated total pressure, in  , the diver experienced after descending these d additional meters is given by    . Which of the following is the best interpretation of 311 in this context?

A circle has diameters and , The circumference of the circle is 84π, and the length of arc DA is 2 times the length of arc AB, What is the length of arc BC?

In triangle XYZ, angle Y is a right angle, the measure of angle Z is 39°, and the length of is 22 units. If the area, in square units, of triangle XYZ can be represented by the expression , where is a constant, what is the value of k?

In right triangle RST, the sum of the measures of angle R and angle S is 90 degrees. The value of is . What is the value of ?

The composition of an animal is defined as the muscles, bones, and fat of the animal. A scientist studied the composition of one young swamp buffalo and determined the buffalo had 133 kilograms of muscle, which made up approximately 65.9% of its composition. Of the remaining composition of this buffalo, approximately 46.2% was bone, and the remainder was fat.Based on these approximations, to the nearest tenth, how many kilograms of this buffalo's composition was bone?

Which of the following expressions has a factor of , where b is a positive integer constant?

One of the equations in a system of two linear equations is given, where n is a positive constant. The system has no solution. Which equation could be the second equation in this system?

The cost of renting a piece of equipment is for the first day and for each additional day, where n is a positive integer. Which of the following functions gives the cost , in dollars, of renting this equipment for x days, where x is a positive integer?

In triangle ABC and triangle DEF, sides AB and DE each have a side length of 6 inches, and angles A and D each have an angle measure of 40°, Which of the following additional pieces of information is(are) sufficient to prove whether triangle ABC is congruent to triangle DEF?

I The measures of angles B and C are equal. 

II The lengths of sides AC and DF are equal.

III The lengths of sides BC and EF are equal.