DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 114)

Problem 1 :

The equation above gives the kinetic energy K, in joules, of an object as a function of its mass m, in kilograms, and its velocity v, in meters per second. An experimenter is comparing the kinetic energy of two objects. The first object has a mass of m kilograms and a velocity of v meters per second. The second object has a mass of 4m kilograms and a velocity of 3v meters per second. Which of the following could represent the ratio of the kinetic energy of the first object to the kinetic energy of the second object?

Solution :

Problem 2 :

The area of a rectangle decreases by 9 square units, if its length is reduced by 5 units and its width is increased by 3 units. If the length is increased by 3 units and the width is increased by 2 units, the area increases by 67 square units. What is the length of the rectangle?

A)  12

B)  15

C)  17

D)  18

Solution :

Problem 3 :

If a circle has a center (1, 3) and a radius of √17, which of the following point lies on the circle?

A)  (1, 5)

B)  (0, 7)

C)  (7, 0)

D)  (7, 1)

Solution :

Problem 4 :

On a map, 3 centimeters represents k kilometers. How many kilometers are represented by p centimeters?

Solution :

Problem 5 :

In the figure above, the lines ℓ and m are parallel. If the measure of ∠1 is 20° more than the measure of ∠2, what is the measure of ∠1?

A)  35°

B)  45°

C)  55°

D)  75°

Solution :

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