GRE Arithmetic

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% change #increasing

(New - old) / old

% change #decreasing

(Old - new) / old

0.6% of 800

0.6/100=0.006 0.006(800)=4.8

10^n

10, 100, 1000, 10000

150% of 48

150/100=1.5 1.5(48)=72

15 is 30% of which number

15=.30x x=50

Prime numbers 2-97

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

2^n

2, 4, 8, 16, 32, 64

Ratio problems

20=d+c ratio is 3:2 =5 20/5=4 sets; so 3(4)=12 and 2(4)=8. 12+8=20 so 8 cats

3^n

3, 9, 27, 81, 243, 729

4^n

4, 16, 64, 256, 1024

40% of 15

40/100 = .4(15)=6

5^n

5, 25, 125, 625, 3125

11 is what percent of 55?

55(x)=11 x=0.2 x=20%

6^n

6, 36, 216, 1296

7^n

7, 49, 343, 2401

8^n

8, 64, 512, 4096

9^n

9, 81, 729, 6561

Even exponent rules

A negative base raised to an even exponent is ALWAYS positive. Ex: (-5)^2 = 25

Odd exponent rules

A negative based raised to an odd exponent is ALWAYS negative. Ex: (-5)^3 = 125

Divisibility rules of 7

Double the last digit and subtract it from a number made by the other digits. The results must be divisible by 7. Ex: 672 (double 2 is 4, 67-4=63, and 63/7=9)

Even/odd rules for addition/subtraction

Even + even = even Even + odd = odd Odd + odd = even

Even and Odd Multiplication rules

Even x even = even Even x odd = even Odd x odd = odd

Divisibility rules of 8

If the last 3 digits is divisible by 8

Divisibility rules of 4

If the last two digits is divisible by 4

Divisibility rules of 6

If the number is divisible by 2 and 3

Divisibility rules of 12

If the number is divisible by 3 and 4

Divisibility rules of 9

If the sum of the digits is divisible by 9

Divisibility Rules of 2

Last digit is 0, 2, 4, 6, or 8

Divisibility rules of 5

ends in 0 or 5

Divisibility rules of 3

if the sum of the digits is divisible by 3


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