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# Arithmetic Topics and Exercise Examples

RyanBornPowerScore
PowerScore StaffJoined: 04/27/2016Posts:

**490**Straight from ETS, maker of the GRE, here are the topics to know with example
exercises from POWERPREP,
the official practice tests.

Sources:
Official GRE Math Review [PDF} and
Official Introduction to the Quantitative Reasoning Measure.

**Integers (Properties and Types)**- Negatives and Positives
- Odds and Evens
- Primes and Prime Factorization
- Multiples, Divisors, and Quotients and Remainders
*Example Problems*

**Fractions**- Operations (+ − × ÷)
- Mixed Numbers
- Reciprocals
*Example Problems*- Easy — x > y…
- Medium — Kelly took three days to travel from City A to City B…

**Exponents and Roots**- Nonnegative and Negative Powers
- Square Roots and Fourth Roots of Positive Numbers
- Cube Roots
*Example Problems*

**Decimals**- Place Values and Powers of 10
*Example Problems*

**Real Numbers**- Integers, Fractions, and Decimals (Properties and Types)
- The Number Line
- Absolute Value
*Example Problems*- Easy — On the number line, the distance between x…
- Medium — x > y…

**Ratios (includes Proportions)***Example Problems*

**Percents****Sequences***Example Problems*

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