Digital SAT Math Practice #2

If 120% of a is equal to 80% of b, which of the following is equal to a + b?

• 1.5a

• 2a

• 2.5a

• 3a

Which of the following numbers can be expressed as the product of three different integers greater than 1?

I. 25
II. 36
III. 45

• I only

• II only

• III only

• II and III only

What is the average of 4y + 3 and 2y - 1?

• 3y + 1

• 3y + 2

• 3y + 3

• 3y + 4

If x and y are integers such that x³ = y², which of the following CANNOT be the value of y?

• 1

• 8

• 16

• 27

If an object is moving at a speed of 36 kilometers per hour, how many meters does it travel in 1 second?

• 10

• 36

• 100

• 360

Answer explanation

36 km/h = 36 : 3.6 = 10 m/s

What is a divided by a% of a?

For what value of x is 8^{2x - 4} = 16^x?

• 2

• 4

• 6

• 8

Answer explanation

8^{2x - 4} = 16^x ⇒ (2³)^{2x - 4} = (2⁴)^x.

Then 3(2x - 4) = 4x ⇒ 6x - 12 = 4x

and so 2x = 12 ⇒ x = 6.

Answer explanation

If x% of y is 10, what is y?

In the figure below, the area of circle O is 12. What is the area of the shaded sector?

Note: Figure not to drawn to scale.

(Write the answer as a decimal number)

Answer explanation