PSAT/NMSQT Math 4

Question 1

If a number increased by 20% equals 60, what is the original number?

Accepted Answer

50

Answer

Original × 1.2 = 60, so original = 60 ÷ 1.2 = 50.

Question 2

What is the solution to the system y = x + 2 and y = 2x − 1?

Accepted Answer

(3, 5)

Answer

Set x + 2 = 2x − 1, giving x = 3 and y = 5.

Question 3

Simplify: (x³)(x⁴).

Accepted Answer

x⁷

Answer

When multiplying like bases, add exponents: 3 + 4 = 7.

Question 4

The mean of 5 numbers is 12. What is their sum?

Accepted Answer

60

Answer

Sum = mean × count = 12 × 5 = 60.

Question 5

If 3/4 of a tank holds 30 liters, how many liters does a full tank hold?

Accepted Answer

40

Answer

Full tank = 30 ÷ (3/4) = 30 × 4/3 = 40 liters.

PSAT/NMSQT Practice Test