SAT Pastpaper with Solutions

In triangle , the measure of angle is 50°, the measure of angle is ° , and the measure of angle is°.Point lies on , point lies on , and is parallel to. what is the measure, in degrees, of angle?

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?
Data set A:8,11,12,15,21,27
Data set B:9,12,13,16,22,h
I.23
II.28
III.29

A researcher observes a sample of a nuclide.An exponential model estimates that the mass,in grams, of the sample decreases by 23% every 11.69 minutes. Which of the following equations could represent this model, where M is the estimated mass, in grams, of the sample t minutes after the researcher began observing the sample ？

How many centimeters are equivalent to 35 meters ? (1 meter =100centimeters)

A dance studio charges an introductory fee for the first 3 lessons and then charges a fixed fee for each additional lesson.One student took 6 lessons and was charged $150 .Another student took 17 lessons and was charged $480 . Which function gives the total charge, in dollars, for any student who took x lessons, where x>2 ？

which point is a solution to the given inequality in the-plane?
Y<-2x+12

Tanya drove on the highway and on local roads to complete a trip of 290 miles. The drive took 5 hours. She drove an average speed of 65 miles per hour(mph) on the highway and average speed of 30 mph on local roads. If is the time, in hours, Tanya drove on the highway and is the time, in hours, she drove on local roads,which system of equations represents this situation?

A sample of a certain isotope takes 29 years to decay to half its original mass. The function gives the approximate mass of this isotope, in grams, that remains years after a 184-gram sample starts to decay. which statement is the best interpretation of in this context ?

The product of a positive number and the number that is 1 less than x is equal to 272.what is the value of x ?

In the linear function ，and. Which equation defines  ?

A circle has a radius of inches. A sector of the circle has a central angle of ，Which of the following expressions represents the area of the sector in square inches ?

Antwon's hair will grow at a constant rate from a length of 3 inches to a length of 5 inches.The equation describes this situation, where t is the number of months it will take for Antwon's hair to reach a length of 5 inches. Which of the following is the best interpretation of 0.3 in this context ?

If and ,what is the value of   ?

The width of a rectangle is 5 centimeters. The length of the rectangle is 30 centimeters longer than the width. What is the area, in square centimeters, of this rectangle ?

The equation gives the speed s, in miles per hour, of a certain car seconds after it began to accelerate. What is the speed, in miles per hour, of the car 5 seconds after it began to accelerate?
S = 10 + 4t