SAT Pastpaper with Solutions

According to a US law,ramps for use by the general public must form
an angle with level ground such that tan  . If the ramp in the figure conforms to this law and has a height of 29.1 inches, what is the least possible value of x, in inches?

A circle in the xy-plane has its center at (14,19) and has a radius of 7k . Which equation represents this circle?

In the xy-plane, line I passes through the point (0,0) and is parallel to the line represented by the equation y = 8x＋ 4 .If line I also passes through the point (6,d), what is the value of d ?

The given equation relates the positive numbers f , x , and g . which equation correctly expresses in terms of f and g?
f=(10x)²/7g

A scientist is studying a culture of bacteria. Initially, there are 200 bacteria in the culture. The population doubles every 3 hours.Which of the following equations represents the number of bacteria, N(t)，after t hours ?

which point(x, y) is a solution to the given inequality in the xy-plane?
y5x-21

If=6x ,what is the value of 6x² ?

In triangle ABC , the measure of angle A is three times the measure of angle B , and the measure of angle C is 20 degrees less than the measure of angle B.What is the measure of angle A in degrees?

The graph shows the estimated boiling point g, in degrees Celsius,of a straight-chain alkane with a molecular weight of x grams per mole, where 1≤x ≤280. Which statement is the best interpretation of the point (141.32,172.26)?

In the figure shown, triangle CAE is similar to triangle CBD . The measure of angle CBD is 57°, and AE=21(BD) . What is the measure of angle CAE?

If =76 and =76 ,what is the value of c ?

In the xy-plane, circle F is defined by the equation (x+7)²+(x+7)² = 36.Circle G has the same center as circle F , and the radius of circle G is 2 units greater than the radius of circle F. Circle G is defined by the equation (x +7)²+(x+7)² = p ,where p is a constant.What is the value of p?

Circle T has a radius of 35 millimeters (mm). What is the area of circle T, in mm² ?

A shopper is purchasing oranges that cost $0.67 each. If the shopper has a coupon for $2 off the entire purchase and there is no sales tax, which inequality represents the number of oranges, x , that the shopper can purchase for no more than $12 ?

The solution to the given system of equations is (x, y) . What is the value of x+y ?
4x=16
-3x+y=-5

The function passes through the points (−3,0) , (0,3) , and (3,0) .Which of the following could be the equation of the function?

A furniture company is selling all tables with a 20% discount off their original price for the month of October: what is the discount, in dollars,on a table with an original price of $130?

A batch of smoothies consists of 4 cups of milk and 2 bananas and has 1,228 milligrams(mg) of calcium. There is 304 mg of calcium in 1 cup of milk. How much calcium, in mg. Is in 1 banana?

The triangle shown has one side with a length of x inches and two sides each with a length of y inches. The perimeter of the triangle is 47 inches. Which equation represents this situation?