Numeric Entry Reasoning - Quantitative Reasoning

What is the correct entry format for $0.6$ as a simplified fraction?

$\frac{3}{5}$ . Express the decimal as a fraction over 10 and simplify by dividing numerator and denominator by 2.
What is the value of $15\%$ of $80$ for numeric entry?

$12$ . Convert percentage to decimal by dividing by 100, then multiply by the number.
What is the simplified value of $\left(\frac{3}{5}\right)^{-1}$ for numeric entry?

$\frac{5}{3}$ . The inverse of a fraction is obtained by swapping the numerator and denominator.
What is the correct entry format for $0.125$ as a simplified fraction?

$\frac{1}{8}$ . Convert the decimal to a fraction by placing it over 1000 and simplifying by dividing numerator and denominator by 125.
What is the simplified value of $2^3 \times 2^{-1}$ for numeric entry?

$4$ . Multiply powers with the same base by adding exponents: $3 + (-1) = 2$ , so $2^2$ .
What is the simplified value of $\frac{1}{2} + \frac{1}{3} + \frac{1}{6}$ for numeric entry?

$1$ . Add fractions by finding a common denominator of 6 and summing the numerators.
What is the simplified fraction equal to $\frac{18}{24}$ for numeric entry?

$\frac{3}{4}$ . Simplify by dividing numerator and denominator by their greatest common divisor, which is 6.
What is the correct entry format for $75\%$ as a simplified fraction?

$\frac{3}{4}$ . Convert percentages to fractions by dividing by 100 and simplifying by dividing numerator and denominator by 25.
What is the simplified value of $\frac{5}{2} - \frac{3}{4}$ for numeric entry?

$\frac{7}{4}$ . Subtract fractions by finding a common denominator of 4 and computing $10/4 - 3/4$ .
What is the simplified value of $\frac{7}{12} \div \frac{7}{8}$ for numeric entry?

$\frac{2}{3}$ . Divide fractions by multiplying by the reciprocal, then simplify by dividing by 4.
What is the simplified value of $\frac{2}{3} \times \frac{9}{4}$ for numeric entry?

$\frac{3}{2}$ . Multiply fractions by multiplying numerators and denominators, then simplify by dividing by 6.
What is the correct entry format for $1.2$ as a simplified fraction?

$\frac{6}{5}$ . Convert the decimal to a fraction over 10 and simplify by dividing numerator and denominator by 2.
What is the simplified value of $\sqrt{\frac{9}{16}}$ for numeric entry?

$\frac{3}{4}$ . The square root of a fraction is the square root of the numerator over the square root of the denominator.
What is the value of $x$ if $3x = 18$ for numeric entry?

$6$ . Solve for $x$ by dividing both sides of the equation by 3.
What is the positive solution to $x^2 = 81$ for numeric entry?

$9$ . The positive square root of both sides gives the solution, as squares are non-negative.
What is the simplified value of $10^{-2}$ for numeric entry?

$0.01$ . A negative exponent means taking the reciprocal of the base raised to the positive exponent.
What is the value of $\sqrt{49}$ for numeric entry?

$7$ . The square root of a perfect square is the positive integer that squares to that number.
What is the value of $x$ if $\frac{3}{4}x = 12$ for numeric entry?

$16$ . Solve for $x$ by multiplying both sides by the reciprocal of $\frac{3}{4}$ , which is $\frac{4}{3}$ .
What is the decimal form of the fraction $\frac{3}{8}$ for numeric entry?

$0.375$ . Divide the numerator by the denominator to obtain the decimal equivalent.
What is the value of $\left| -\frac{7}{3} \right|$ for numeric entry?

$\frac{7}{3}$ . The absolute value of a negative number is its positive counterpart.
What is the value of $x$ if $\frac{x}{4} = 2.5$ for numeric entry?

$10$ . Solve for $x$ by multiplying both sides of the equation by 4.
What is the value of $\frac{2}{5}$ of $30$ for numeric entry?

$12$ . To find a fraction of a number, multiply the fraction by the number.
What is the simplified value of $\frac{1}{10^{-3}}$ for numeric entry?

$1000$ . Dividing by a negative exponent is equivalent to multiplying by the base raised to the positive exponent.

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