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[Questions 1-20] [Questions 21-40] [Questions 41-60] [Questions 61-80]

For those of you who would prefer to view the methods and tricks according to their placement on the test, this page is for you.  Of course, this is just an estimate.  I do not know exactly where some of these tricks occur so this page is based on my guesses. 

The placements on this page are based on high school number sense tests.

Before looking at these methods, be sure you know all the basic memorizations here.

Questions 1-20:

Subtracting Reverses       

Adding Reverses

Adding and Subtracting Fractions

Comparing Fractions

Multiplying Mixed Numbers Whose Fractions Add To One

Adding 3 Fractions in the Form: 1/n(n+1) + 1/(n+1)(n+2) + 1/(n+2)(n+3)

Adding Fractions in the Form: a/b + b/a

Subtracting Fractions in the Form: a/b - a/2b - c/3b

Dividing by 9 into a Mixed Number

FOIL Method

Double & Half Method

Difference of 2 Squares

Multiplying Numbers Less Than 100 but Close to 100

Multiplying Numbers More Than 100 but Close to 100

Multiplying by 5

Multiplying by 11

Multiplying by 12-19

Multiplying by 15

Multiplying by 25

Multiplying by 50

Multiplying by 75

Multiplying by 101

Multiplying 2 Numbers That End in 5

Multiplying Consecutive Integers By 9

Multiplying Consecutive Integers By 8

Multiplying Decreasing Consecutive Integers By 9 Minus 1

Multiplying Numbers in the Form: ab + bc

Multiplying Numbers in the Form: a x a/b

Squaring Numbers

Squaring Numbers that end in 5

Squaring Numbers that end in 6

Squaring Numbers that end in 7

Squaring Numbers that end in 8

Squaring Numbers that end in 9

Squaring Numbers in the Range: 40 - 49

Squaring Numbers in the Range: 50 - 59

Squaring Numbers in the Range: 90 - 99

Adding Squared Numbers in the Form: a2 + (2a)2

Adding Squared Numbers in the Form: a2 + (3a)2

Changing Percents into Fractions/Decimals

Order of Operations

Roman Numerals

GCD

LCM

Mean/Median/Mode/Range/Geometric Mean

Prime Numbers

Adding Sequences in the Form: a + (a+b) + (a+2b) +...+ (a + nb)

Adding Sequences in the Form: 1 + 2 + 3 +...+ n

Definitions

Measurements

Percents in the Form: a is ____% of b

Percents in the Form: a less/more b% of c is _____

Percents in the Form: a is what percent less/more than b

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Questions 21 - 40:

Square Roots

Cube Roots

Changing Base 10 to Base b

Changing Base b to Base 10

Changing Base 2 to Base 4

Changing Base 2 to Base 8

Changing Base 3 to Base 9

Adding 2 Numbers in a Different Base

Sum/Product of Roots of an Equation

Repeating Decimals in the Form: .aaa..., .abab..., etc.

Repeating Decimals in the Form: .abbb..., .abccc..., etc.

Positive Integral Divisors

Sum of Positive Integral Divisors

Relatively Prime

Product of the Prime Factors

Evaluating f(n)

Simple Interest

Expression Divided by n has a Remainder of ______

Solving for x in f(x) = g(x)

Determining Roots of a Quadratic Equation

Determining the Next Term of a Sequence

Multiplying by 111

Multiplying by 125

Multiplying by 143

Multiplying by 167

Multiplying by 286

Multiplying by 375

Multiplying by 429

Multiplying by 572

Multiplying by 625

Multiplying by 715

Multiplying by 858

Multiplying by 875

Multiplying by 1001

Multiplying by 1111

Multiplying by 3367

Cubes and Higher Powers

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