SAT2-MATHEMATICS Online Practice Questions and Answers

Correct Answer: C

There is an inverse relationship between the number of people and the time needed to clean the office. Multiply the number of people by the hours needed to clean the office: (8)(12) = 96. Divide the total number of hours by the new number of people, = 16. It takes six people 16 hours to clean the office.

Correct Answer: A

If x is the width of the room, then 3 + 2x is the length of the room. The perimeter is equal to x + x + (3 + 2x)

+ (3 + 2x) = 66; 6x + 6 = 66; 6x = 60; x = 10. The length of the room is equal to 2x + 3, 2(10) + 3 = 23 feet.

Correct Answer: E

Set the expression 4x2– 2x +3 equal to 3 and solve for x:

Correct Answer: C

A square has four right (90-degree) angles. The diagonals of a square bisect its angles. Diagonal AC bisects C, forming two 45-degree angles, angle ACB and angle ACD. The sine of 45 degrees is equal to 2/2

Correct Answer: D

40% of j= 0.4j, 50% of k = 0.5k. If 0.4j= 0.5k, = 1.25kis equal to 125% of k, which means that j is 25% larger thank.

Correct Answer: B

If r is the radius of this circle, then the area of this circle, r2, is equal to four times its circumference, 2r: r2= 4(2r), r2= 8r,r2= 8r,r= 8 units. If the radius of the circle is eight units, then its circumference is equal to 2(8) = 16 units.

Correct Answer: B

Since ABC is a right triangle, the sum of the squares of its legs is equal to the square of the hypotenuse: (AB)2+82=102, (AB)2+ 64 = 100, (AB)2= 36, AB= 6 units. The diameter of circle O is 2/3 of AB, or 2/3(6) = 4 units. The area of a triangle is equal to 1/2bh where b is the base of the triangle and h is the height of the triangle.

The area of ABC square units.

The area of a circle is equal to r2, where r is the radius of the circle. The radius of a circle is equal to half the diameter of the circle, so the radius of O is 1/2(4) = 2 units. The area of circle O = (2)2= 4. The shaded area is equal to the area of the triangle minus the area of the circle: 24 ?4 square units.

Correct Answer: C

Jump sneakers cost $60 ?$45 = $15 more, or more than Speed sneakers. Speed sneakers cost $15 less, or less than Jump sneakers. For the two pairs of sneakers to be the same price, either the price of Speed sneakers must increase by 33 or the price of Jump sneakers must decrease by 25.

Correct Answer: A

Matt's weight, m, is equal to 3/5 of Paul's weight, p:

If 4.8 is added to m, the sum is equal to

Substitute the value of min terms of p into the second equation:

pounds.

Paul weighs 72 pounds, and Matt weighs

Correct Answer: B

Explanation: Since triangle DEC is a right triangle, triangle AED is also a right triangle, with a right angle at AED. There are 180 degrees in a triangle, so the measure of angle ADE is 180 – (60 + 90) = 30 degrees. Angle A and angle EDC are congruent, so angle EDC is also 60 degrees. Since there are 180 degrees in a line, angle BDC must be 90 degrees, making triangle BDC a right triangle. Triangle ABC is a right triangle with angle A measuring 60 degrees, which means that angle B must be 30 degrees, and BDC must be a 30-60- 90 right triangle. The leg opposite the 30-degree angle in a 30-60-90 right triangle is half the length of the

hypotenuse. Therefore, the length of DC is 15/2 units.