SAT2-MATHEMATICS Online Practice Questions and Answers

Correct Answer: D

The midpoint of a line is equal to the average x-coordinates and the average y-coordinates of the line's endpoints:

The other endpoint of this line is at (9,–1).

Correct Answer: A

If the height of the prism is h, then the length of the prism is four times that, 4h. The length is one-third of the width, so the width is three times the length: 12h. The volume of the prism is equal to its length multiplied by its width multiplied by its height:

The height of the prism is 2 in, the length of the prism is (2 in)(4) = 8 in, and the width of the prism is (8 in)

(3) = 24 in.

Correct Answer: B

Correct Answer: C

Explanation: The equation of a parabola with its turning point c units to the left of they-a x is written as y=(x + c)2. The equation of a parabola with its turning point d units above the x-axis is written as y= x2+d. The vertex of the parabola formed by the equation y = (x+1)2+2is found one unit to the left of the y-a x is and two units above the x-axis, at the point (–1,2). Alternatively, test each answer choice by plugging the x value of the choice into the equation and solving for y. Only the coordinates in choice c, (-1, 2, represent a point on the parabola(y = (x+1)2+2, 2=(-1+1)2+2, 2 = 02+2, 2=2, so it is the only point of the choices given that could be the vertex of the parabola.

Correct Answer: A

DeDe runs 5 mph, or 5 miles in 60 minutes. Use a proportion to find how long it would take for DeDe to run

minutes. Greg runs 6 mph, or 6 miles in 60minutes. Therefore, he runs 2 miles in

2 miles:

minutes. It takes DeDe 24 – 20 = 4 minutes longer to run the field.

Correct Answer: B

Every face of a cube is a square. The diagonal of a square is equal to S2 where s is the length of a side of the square. If S2 = 42 then one side, or edge, of the cube is equal to 4 in. The volume of a cube is equal to e3,where is the length of an edge of the cube. The volume of the cube is equal to (4 in)3= 64 in 3.

Correct Answer: A

Substitute 2 for x and 5 for

the 5th root of 32 is 2, 2 raised to the 2nd power is 4.

Correct Answer: A

If the original ratio of guppies, g, to plates, p, is 4:5, then g =4/5p If nine guppies are added, then the new number of guppies, g + 9, is equal to 5/4p: g+9 = 5/4p.Substitute the value of g in terms of p from the first equation:4/5 p+9 = 5/4p,9 = 9/20p, =p = 20. There are 20 plates in the fish tank and there are now 20(5/4) = 25 guppies in the fish tank.

Correct Answer: C

There are ten coins in the bank (1 penny + 2 quarters + 4 nickels + 3 dimes). The two quarters and three dimes are each worth more than five cents but less than 30 cents, so the probability of selecting one of these coins is

Correct Answer: A

Set M contains the positive factors of 8: 1, 2, 4, and 8. Set N contains the positive factors of 16: 1, 2, 4, 8, and 16. The union of these sets is equal to all of the elements that are in either set. Since every element in set M is in set N, the union of N and M is the same as set N: {1, 2, 4, 8, 16}.