Essential GMAT Quant Skills Flashcards

1
Q

Proper fractions are what?

A

Numerator is less than denominator

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2
Q

Improper fractions are…

A

When the numerator is greater thsn the denominator

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3
Q

What is the LCD?

A

The smallest whole number that is divisible by each of the denominators

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4
Q

What are equivalent fractions?

A

Two fractions that appear to be different but are the same value

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5
Q

Two fractions are equivalent fractions if…

A

a/b = c/d if axd=cxb

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6
Q

What do you do in cross simplifications?

A

When multiplying two fractions, you take the numerator of one fraction and the denominator of the other and divide both by the same number

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7
Q

What is the reciprocal of a number?

A

One over the number

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8
Q

What is the reciprocal of 1?

A

1

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9
Q

What is the reciprocal of -1?

A

-1

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10
Q

What is the reciprocal of 0?

A

0 doesn’t have a reciprocal

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11
Q

What is the product of a number and its reciprocal?

A

1

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12
Q

What are complex fractions?

A

Fractions whose numerator, denominator or both are also fractions

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13
Q

What is the bow tie method used for?

A

To compare size of fractions

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14
Q

What is the bow tie method?

A

Given a/b and c/d, a/b is larger than c/d if axd is larger than cxb

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15
Q

What are some ways to compare fraction size?

A
  1. Using a reference point to compare the size of fractions (best used to determine the smallest or largest fraction in a set)
  2. The bow tie method
  3. Using a common denominator
  4. Using a common numerator
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16
Q

What are some ways to compare fraction size?

A
  1. Using a reference point to compare the size of fractions (best used to determine the smallest or largest fraction in a set)
  2. The bow tie method
  3. Using a common denominator
  4. Using a common numerator
17
Q

How can you compare fraction size using a common numerator?

A

When all the fractions in a set have the same numerator, the larger the denominator, the smaller the fraction is

18
Q

What happens if you add a positive constant to both numerator and denominator of a fraction that is between 0 and 1?

A

It will become larger

19
Q

What happens if you add a positive constant to both numerator and denominator of a fraction that is larger than 1?

A

It will become smaller

20
Q

What happens if you subtract a positive constant to both numerator and denominator of a fraction that is between 0 and 1?

A

It will become smaller as long as the resulting fraction is still positive

21
Q

What happens if you subtract a positive constant to both numerator and denominator of a fraction that is larger than 1?

A

It will become larger as long as the resulting fraction is still positive

22
Q

How do you multiply decimals?

A
  1. Ignore decimal point and multiply
  2. Count total number of decimal places to the right of the decimal point in both the numbers multiplied
  3. Move the decimal point to the left that same amount of spaces
23
Q

What is a shortcut for multiplying decimals?

A

Count the number of decimal places both numbers have and that will allow you to eliminate the answer choices that don’t have that number.
Be careful with multiplications that end in 0 because the answer choice won’t show the ending 0

24
Q

How do you divide decimals?

A
  1. Move the decimal point of the divisor to the right until it becomes a whole number
  2. Move the decimal point of the dividend by the same number of places
  3. Divide using long division
25
Q

How do you compare decimals?

A

You compare them place by place starting at the tenths place

26
Q

Can you convert non-terminating and non-repeating decimals to fractions?

A

No

27
Q

Decimal table of 1/6

A

1/6 | 0.143
2/6 | 0.333
3/6 | 0.50
4/6 | 0.667
5/6 | 0.833

28
Q

Decimal table of 1/7

A

1/7 | 0.143
2/7 | 0.286
3/7 | 0.429
4/7 | 0.571
5/7 | 0.714
6/7 | 0.857

29
Q

Decimal table of 1/8

A

1/8 | 0.125
2/8 | 0.25
3/8 | 0.375
4/8 | 0.50
5/8 | 0.625
6/8 | 0.75
7/8 | 0.875

30
Q

What is the order of the square root and square of a number between 0 and 1?

A

X^2 < x < square root x

31
Q

Perfect squares never end in what numbers?

A

2, 3, 7, 8