SAT2-MATHEMATICS Online Practice Questions and Answers

Correct Answer: D

The order of the four songs is important. The orderings A, B, C, D and A, C, B, D contain the same four songs, but in different orders. Both orderings must be counted. The number of six-choose-four orderings is equal to (6)(5)(4)(3)= 360.

Correct Answer: C

Line AB is perpendicular to line BC, which makes triangle ABC a right triangle. Angles DAF and DCH are alternating angles -- angles made by a pair of parallel lines cut by a transversal. Angle DAF angle DCH, therefore, angle DCH = 120 degrees. Angles DCH and ACB form a line. There are 180 degrees in a line, so the measure of angle ACB = 180 ?120 = 60 degrees. Triangle ABC is a 30-60-90 right triangle, which means that the length of the hypotenuse, AC, is equal to twice the length of the leg opposite the 30-degree angle, BC. Therefore, the length of BC is 10/2, or 5. The length of the leg opposite the 60-degree angle, AB, is 3 times the length of the other leg, BC. Therefore, the length of AB is.

Correct Answer: D

This series actually has two alternating sets of numbers. The first number is doubled, giving the third number. The second number has 4 subtracted from it, giving it the fourth number. Therefore, the blank space will be 12 doubled, or 24.

Correct Answer: A

Explanation:

If a straight line were drawn through as many of the plotted points as possible, it would have a negative slope. The line slopes more sharply than the line y = –x (a line with a slope of-1), so the line would have a slope more negative than-1. The line would also have a y-intercept well above the x – i-axis. The only equation given with a slope more negative than-1is s=-2(t-15).

Correct Answer: E

An expression is undefined when a denominator of the expression is equal to zero. When

Correct Answer: A

The empty crate weighs 8.16 kg, or 8,160 g. If Jon can lift 11,000 g and one orange weighs 220 g, then the number of oranges that he can pack into the crate is equal to

Jon cannot pack a fraction of an orange. He can pack 12 whole oranges into the crate.

Correct Answer: A

The number of yellow marbles, 24, is 24/8=3 times larger than the number of marbles given in the ratio. Multiply each number in the ratio by 3 to find the number of each color of marbles. There are 3(3) = 9 red marbles and 4(3) = 12 blue marbles. The total number of marbles in the sack is 24 + 9 + 12 = 45.

Correct Answer: A

Solve-6b + 2a – 25 = 25 for a in terms of b: -6b + 2a – 25 = 5, -3b + a = 15, a = 15+3b. Substitute a in terms of b into the second equation:

Substitute b into the first equation to find the value of a: -6b + 2a – 25 = 5, -6(-3) 2a – 25 = 5, 18+2a = 30, 2a = 12, a = 6. Finally, ,

Correct Answer: C

Six people working eight hours produce (6)(8) = 48 work-hours. The number of people required to produce 48 work-hours in three hours is48/3 = 16.

Correct Answer: D