NFST Mathematical Reasoning 4

Question 1

A car depreciates in value by 15% each year. If it is currently worth $20,000, what will it be worth after 2 years?

Accepted Answer

$14,450

Answer

After year 1: $17,000; after year 2: $17,000 × 0.85 = $14,450.

Question 2

Solve for x: x/4 + 3 = 7

Accepted Answer

16

Answer

x/4 = 4 → x = 16.

Question 3

In a data set of 8 values, the mean is 12. What is the sum of all 8 values?

Accepted Answer

96

Answer

Sum = mean × count = 12 × 8 = 96.

Question 4

What is the volume of a rectangular prism with length 8, width 5, and height 3?

Accepted Answer

120

Answer

Volume = l × w × h = 8 × 5 × 3 = 120 cubic units.

Question 5

If y varies directly with x and y = 15 when x = 5, what is y when x = 9?

Accepted Answer

27

Answer

The constant of variation is k = 15/5 = 3; y = 3 × 9 = 27.

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