GRE Quantitative Flashcards: Numeric Entry Reasoning

What this deck covers

This deck focuses on Numeric Entry Reasoning, giving you a quick way to review the definitions, rules, and examples that matter most for GRE Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the correct entry format for $0.6$ as a simplified fraction?

Answer: $\frac{3}{5}$. Express the decimal as a fraction over 10 and simplify by dividing numerator and denominator by 2.

Flashcard 2: What is the value of $15\%$ of $80$ for numeric entry?

Answer: $12$. Convert percentage to decimal by dividing by 100, then multiply by the number.

Flashcard 3: What is the simplified value of $\left(\frac{3}{5}\right)^{-1}$ for numeric entry?

Answer: $\frac{5}{3}$. The inverse of a fraction is obtained by swapping the numerator and denominator.

Flashcard 4: What is the correct entry format for $0.125$ as a simplified fraction?

Answer: $\frac{1}{8}$. Convert the decimal to a fraction by placing it over 1000 and simplifying by dividing numerator and denominator by 125.

Flashcard 5: What is the simplified value of $2^3 \times 2^{-1}$ for numeric entry?

Answer: $4$. Multiply powers with the same base by adding exponents: $3 + (-1) = 2$, so $2^2$.

Flashcard 6: What is the simplified value of $\frac{1}{2} + \frac{1}{3} + \frac{1}{6}$ for numeric entry?

Answer: $1$. Add fractions by finding a common denominator of 6 and summing the numerators.

Flashcard 7: What is the simplified fraction equal to $\frac{18}{24}$ for numeric entry?

Answer: $\frac{3}{4}$. Simplify by dividing numerator and denominator by their greatest common divisor, which is 6.

Flashcard 8: What is the correct entry format for $75\%$ as a simplified fraction?

Answer: $\frac{3}{4}$. Convert percentages to fractions by dividing by 100 and simplifying by dividing numerator and denominator by 25.

Flashcard 9: What is the simplified value of $\frac{5}{2} - \frac{3}{4}$ for numeric entry?

Answer: $\frac{7}{4}$. Subtract fractions by finding a common denominator of 4 and computing $10/4 - 3/4$.

Flashcard 10: What is the simplified value of $\frac{7}{12} \div \frac{7}{8}$ for numeric entry?

Answer: $\frac{2}{3}$. Divide fractions by multiplying by the reciprocal, then simplify by dividing by 4.

Flashcard 11: What is the simplified value of $\frac{2}{3} \times \frac{9}{4}$ for numeric entry?

Answer: $\frac{3}{2}$. Multiply fractions by multiplying numerators and denominators, then simplify by dividing by 6.

Flashcard 12: What is the correct entry format for $1.2$ as a simplified fraction?

Answer: $\frac{6}{5}$. Convert the decimal to a fraction over 10 and simplify by dividing numerator and denominator by 2.

Flashcard 13: What is the simplified value of $\sqrt{\frac{9}{16}}$ for numeric entry?

Answer: $\frac{3}{4}$. The square root of a fraction is the square root of the numerator over the square root of the denominator.

Flashcard 14: What is the value of $x$ if $3x = 18$ for numeric entry?

Answer: $6$. Solve for $x$ by dividing both sides of the equation by 3.

Flashcard 15: What is the positive solution to $x^2 = 81$ for numeric entry?

Answer: $9$. The positive square root of both sides gives the solution, as squares are non-negative.

Flashcard 16: What is the simplified value of $10^{-2}$ for numeric entry?

Answer: $0.01$. A negative exponent means taking the reciprocal of the base raised to the positive exponent.

Flashcard 17: What is the value of $\sqrt{49}$ for numeric entry?

Answer: $7$. The square root of a perfect square is the positive integer that squares to that number.

Flashcard 18: What is the value of $x$ if $\frac{3}{4}x = 12$ for numeric entry?

Answer: $16$. Solve for $x$ by multiplying both sides by the reciprocal of $\frac{3}{4}$, which is $\frac{4}{3}$.

Flashcard 19: What is the decimal form of the fraction $\frac{3}{8}$ for numeric entry?

Answer: $0.375$. Divide the numerator by the denominator to obtain the decimal equivalent.

Flashcard 20: What is the value of $\left| -\frac{7}{3} \right|$ for numeric entry?

Answer: $\frac{7}{3}$. The absolute value of a negative number is its positive counterpart.

Flashcard 21: What is the value of $x$ if $\frac{x}{4} = 2.5$ for numeric entry?

Answer: $10$. Solve for $x$ by multiplying both sides of the equation by 4.

Flashcard 22: What is the value of $\frac{2}{5}$ of $30$ for numeric entry?

Answer: $12$. To find a fraction of a number, multiply the fraction by the number.

Flashcard 23: What is the simplified value of $\frac{1}{10^{-3}}$ for numeric entry?

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