MSAP Numerical Reasoning 3

Question 1

A student scored 68, 74, 81, and 79 on four tests. What score is needed on a fifth test to achieve an average of 76?

Accepted Answer

78

Answer

Target total = 76 × 5 = 380; 380 − (68 + 74 + 81 + 79) = 380 − 302 = 78.

Question 2

An investment of $5,000 earns 4% simple interest per year. What is the total value after 3 years?

Accepted Answer

$5,600

Answer

Simple interest = 5,000 × 0.04 × 3 = $600; total value = $5,000 + $600 = $5,600.

Question 3

A store sells 3 items for $7.50. How much would 2 items cost at the same unit rate?

Accepted Answer

$5.00

Answer

Unit price = $7.50 ÷ 3 = $2.50; 2 × $2.50 = $5.00.

Question 4

A population of 20,000 grows by 5% in one year. What is the population after one year?

Accepted Answer

21,000

Answer

20,000 × 1.05 = 21,000.

Question 5

A box contains 12 red, 8 blue, and 5 green marbles. What fraction of the marbles are blue?

Accepted Answer

8/25

Answer

Total marbles = 12 + 8 + 5 = 25; blue fraction = 8/25.

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