NFST Mathematical Reasoning 2

Question 1

A store marks up an item by 40% and then offers a 20% discount. What is the net percent change from the original price?

Accepted Answer

12% increase

Answer

Multiplying 1.40 × 0.80 = 1.12 gives a net 12% increase over the original price.

Question 2

If f(x) = 3x² - 2x + 1, what is f(−2)?

Accepted Answer

17

Answer

f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

Question 3

A train travels 240 miles in 3 hours. At the same rate, how long will it take to travel 400 miles?

Accepted Answer

5 hours

Answer

The rate is 80 mph; 400 ÷ 80 = 5 hours.

Question 4

What is the median of the data set: 14, 7, 22, 3, 18, 10, 22?

Accepted Answer

14

Answer

Sorted: 3, 7, 10, 14, 18, 22, 22 — the middle value (4th) is 14.

Question 5

Two angles of a triangle measure 55° and 75°. What is the measure of the third angle?

Accepted Answer

50°

Answer

Angles in a triangle sum to 180°; 180 − 55 − 75 = 50°.

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