GMAT Arithmetic Syllabus and Problem Solving Tips 2023

GMAT Arithmetic Syllabus and Problem Solving Tips 2023

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GMAT arithmetic is the section from GMAT Quant. Most GMAT arithmetic problems are straight forward can be solved using some tips and tricks. GMAT arithmetic topics can be covered with regular practices.

Arithmetic Concepts for GMAT

GMAT arithmetic consists of distinctive topics that were present in the high-school syllabus as well. It is necessary for the GMAT aspirants to get hold of the GMAT arithmetic questions PDF to understand its wide range:

Topics Sub -Areas
Average
  1. Basic average
  2. Weighted average
Decimals
  1. Simplification
  2. Addition, subtraction, multiplication, division and decimals
Descriptive statistics 

Comparing mean, median, mode, and standard deviation

Discount  Increase and decrease calculation
Fractions
  1. Addition, multiplication, and division of fractions
  2. Mixed numbers
  3. Finding out equivalent number
  4. Even and odd
  5. Positive and negative
  6. Prime numbers
Integers
  1. Consecutive integers Mathematical operations
  2. Addition and deduction, multiplication and division
  3. Properties of the integer 0
Mixtures and allegations
  1. Mixtures /blends problems
  2. Mixing two or more liquids
  3. Homogeneous and heterogeneous mixture
Multiple and factors
  1. Use of unit digit
  2. Finding out multiples and factors
Number Properties
  1. Integers and whole number
  2. Rational and irrational numbers
  3. Prime number
  4. Prime factorization
  5. Absolute value
  6. Orders of equations
  7. Number system
  8. Number theory
Permutation combination
  1. Principle of multiplication
  2. Factorial
Percentage 
  1. Percentage increase and decrease in respect to the initial value
  2. Equivalent Fractions of percentages
  3. Percent changes as multipliers
Pipes, and cisterns
  1. Time of filling a tank
  2. Pipe leak and filling a reservoir
  3. Partly filling of a tank with a leaking pipe
Power and Roots
  1. Exponents – positive and negative
  2. Multiplying and dividing exponents
  3. Fractional exponents
  4. Roots’ properties- radicals
  5. Squaring and square roots
Probability
  1. Studying basic examples of flipping a coin
  2. Tossing a die
  3. Drawing a card from a deck
  4. Drawing marbles from a bowl
  5. Drawing marbles from a bowl (second drawing)
  6. Probability Rules – Disjoint or Mutually Exclusive Events
Profit and loss
  1. Profit and loss
  2.  Amortization
  3. Loan
  4. Payment
Ratio and proportion
  1. Quantities 
  2. Comparison
  3. Real number: absolute value and properties
Set Theory
  1. Overlapping sets
  2. Elements of sets
  3. Venn diagram
  4. Sets as groups
  5. Similarity and difference 
  6. Part and whole
Simple and Compounded Interest
  1. Increase and decrease
  2. comparing simple and compound interest on the same principle
Speed, time, and distance
  1. Calculating speed per hour
  2. Calculating who is faster
Statistics Mean, median, mode, range
Work time
  1. Working with more or fewer people
  2. Completing the work faster

Check out: GMAT preparation tips

GMAT Arithmetic Problems- Majorly Scoring Areas

Arithmetic concepts for GMAT need to be very much clear in order to score high marks in the finals. The topics that GMAT arithmetic questions come are as follows:

GMAT Arithmetic Topics Explanations for Arithmetic Problems GMAT
Arithmetic operations

This section includes basic fundamentals like addition, subtraction, multiplication, and division.

Number properties This section includes even and odds, consecutive integers and multiples, prime numbers, positives and negatives, and more.
Fractions This section is very important and useful, as scoring in this section is easier than others. You need to remember some basic rules for solving fraction problems like adding and subtracting, multiplication and division.
Ratios and proportions Ratios are nothing but fractions in disguise. But to solve it you often need to compare the parts of a whole with each other.
Percentage  This section again is an easy one, just need to practice and remember the basic rules of solving it.
Power and roots Laws of Exponents and Roots will be helping throughout to solve this section. 
Statistics  This section includes- descriptive statistics and statistical significance. Generally, it can be solved out with mean, median, mode, range, and standard deviation.
Counting methods( combinatorics) It is basically permutations and combinations. 
Discrete probability This section includes dice problems, card problems, and more.

  

GMAT Arithmetic Tricks

Arithmetic problems in GMAT will be simplified if you follow the below tricks.

  1. Review your math basics

    The GMAT main math concepts include – arithmetic, algebra, geometry. All of your major GMAT study guides include a section on review so don’t rush through this section, take the time to really relearn the material. For those concepts that will take a little more time to solidify in your brain, create flashcards. Use them whenever you have a few extra minutes.

  1. Practice, practice, practice!

Arithmetic is all about numbers. So careful approximation will help you eliminate choices that will save your time. For that, you need to practice and be acquainted with the format and patterns.

For example, if you have to multiply 98 × 103 for some reason, then just estimate 100 × 100 = 10000.

  1. Learn the shortcuts:

As calculators are not permitted for the quant section, hence you will have to memorize the shortcuts to solve certain sums. Like you will have to learn the squares and cubes of the number.

Like for example, 

5^1=5; Remainder: 2

5^2=25; Remainder: 1

5^3=125; Remainder: 2

5^4=625; Remainder: 1

It seems as though every odd power yields a remainder of 2 when you divide by 3, and so since the exponent 31 is odd, we’ll guess (correctly): 2.

  1. Read the question carefully:

The GMAT test-takers rely on power and root questions.

If b>0, then the equation x^2=b always has two solutions, the positive and negative square root of b.

For example, if one of the two equations in a Data Sufficiency problem is 

(x+1)^2 =25, (x+1)2=25, then that statement cannot be sufficient by itself (unless further information was given in the setup before the statements). Instead, you have to be aware that both x+1=5, x+1=-5 and x=4,−6 are the solutions.

  1. Have a flexible approach:

You must know topics like number properties, fractions, rates, solving for x, and basic geometry beyond perfectly. Equally important are strategies such as plugging in, picking a number, and working backward, which can be used not only to save time but also to check your answers. Be flexible in your approach as the more you practice, the more you will be able to recognize the kinds of problems that are going to come on the finals. For arithmetic sequence GMAT you need more GMAT arithmetic practice questions.

  1. Maintain timing:

You will have to solve 31 questions within 62 minutes which means you get 2 minutes per question. GMAT arithmetic practice is more to know the types of questions that tend to take you longer than others. In case you don’t have a clue about a specific question then guess or move on! You can’t get stuck on any one single problem for long.

GMAT Arithmetic Sample Questions

Here are a few sample questions of GMAT arithmetic for your practice:

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

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