ISEE Upper Level Quantitative Reasoning Flashcards: Multi Step Operations

What this deck covers

This deck focuses on Multi Step Operations, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Upper Level Quantitative Reasoning.

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 value of $\left(\frac{3}{8}\right)\div\left(\frac{1}{4}\right)+\frac{1}{2}$?

Answer: $2$. Division of fractions is multiplication by the reciprocal, performed before adding $\frac{1}{2}$.

Flashcard 2: What is the value of $\frac{9-3}{2}+\frac{8}{4}$?

Answer: $5$. Numerator subtraction precedes division, then add the result of the second division.

Flashcard 3: What is the value of $\left(\frac{1}{3}+\frac{1}{6}\right)\times12$?

Answer: $6$. Parentheses require addition of fractions first, then multiplication by 12.

Flashcard 4: What is the value of $(18-6)\times(2+5)$?

Answer: $84$. Parentheses dictate subtraction and addition first, then multiplication of the results.

Flashcard 5: What is the value of $\frac{7}{10}+\frac{3}{5}-\frac{1}{2}$?

Answer: $\frac{4}{5}$. Convert to tenths and perform addition followed by subtraction from left to right.

Flashcard 6: What is the value of $\frac{3}{7}\div\frac{6}{7}+\frac{1}{4}$?

Answer: $\frac{3}{4}$. Division of fractions is multiplication by the reciprocal, performed before adding $\frac{1}{4}$.

Flashcard 7: What is the value of $\left(\frac{2}{3}\right)\times\left(\frac{9}{4}\right)-\frac{1}{2}$?

Answer: $1$. Multiplication of fractions precedes subtraction, so compute $\frac{2}{3} \times \frac{9}{4}$ first, then subtract $\frac{1}{2}$.

Flashcard 8: What is the value of $\frac{5}{6}-\frac{1}{3}+\frac{1}{2}$?

Answer: $1$. Convert fractions to a common denominator of 6, then subtract and add from left to right.

Flashcard 9: What is the value of $\left(\frac{5}{2}-\frac{1}{4}\right)\div\frac{3}{2}$?

Answer: $\frac{3}{2}$. Parentheses require subtraction first, then divide the result by $\frac{3}{2}$ via multiplication by its reciprocal.

Flashcard 10: What is the value of $\frac{2}{5}\text{ of }50+\frac{1}{2}\text{ of }20$?

Answer: $30$. 'Of' indicates multiplication, so compute each product separately and add the results.

Flashcard 11: What is the value of $\frac{1}{2}\times\left(\frac{3}{4}+\frac{1}{4}\right)+\frac{1}{8}$?

Answer: $\frac{5}{8}$. Parentheses require addition first, then multiplication by $\frac{1}{2}$, followed by adding $\frac{1}{8}$.