NFST Mathematical Reasoning 5

Question 1

The sequence 2, 6, 18, 54, … follows a pattern. What is the next term?

Accepted Answer

162

Answer

Each term is multiplied by 3; 54 × 3 = 162.

Question 2

A student scored 78, 85, 90, and 71 on four tests. What score is needed on the fifth test to achieve a mean of 84?

Accepted Answer

96

Answer

Needed total = 84 × 5 = 420; 420 − (78+85+90+71) = 420 − 324 = 96.

Question 3

What is the greatest common factor (GCF) of 48 and 36?

Accepted Answer

12

Answer

Factors of 48 include 12; factors of 36 include 12; 12 is the greatest common factor.

Question 4

A graph shows a line with equation y = −2x + 4. Where does this line intersect the x-axis?

Accepted Answer

(2, 0)

Answer

Set y = 0: 0 = −2x + 4 → x = 2, so the x-intercept is (2, 0).

Question 5

A recipe calls for 2.5 cups of flour for 24 cookies. How many cups are needed for 60 cookies?

Accepted Answer

6.25

Answer

60/24 × 2.5 = 2.5 × 2.5 = 6.25 cups.

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