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Math Content Hand Out

For the HiSET Test

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HiSET Test Overview

  • 90 minutes
  • 55 multiple choice questions
  • 19% - Numbers & Operations
  • 18% - Measurement / Geometry
  • 18% - Data Analysis / Probability / Statistics
  • 45% - Algebraic Concepts
  • Calculator On All Questions

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Agenda

  • Math Review Packet - separate handout
  • Math Testing Tips & Tricks
  • Hiset Formula Sheet & Calculator Tips
  • Numbers and Operations
  • Fractions
  • Percents
  • Number Relationships
  • Measurements
  • Geometry
  • Statistics & Data Analysis
  • Algebraic Concepts
  • Formulas
  • HiSet Math Practice Test - separate handout

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Math Test Taking Tips & Steps to Answering Questions

  • Do not leave any answer BLANK
  • TRUST YOUR GUT!
  • If you don’t know on the first try, come back later. If you still don't know, GUESS
  • DO NOT over think what they are asking you, it may be really simple and that is okay.
  • Use the calculator
  • Try not to freak out...take a deep breath!

Steps to Answering Questions

  1. Read the problem
  2. Determine What is Being Asked
  3. Identify Pertinent (important) Information
  4. Choose Which Operation to Use
  5. Solve the Problem
  6. Check Your Work & Select the Best Answer

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HiSet Formula Sheet

https://drive.google.com/file/d/17ZpRErAsZsmbx8CKo45of8ZqGOu5bgz-/view?usp=sharing

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Calculator Review

Calculator Review

Buttons to Review:

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  • Fractions
  • Mixed Numbers
  • Exponents
  • Fraction to Decimal
  • Negative Sign
  • Square Root
  • Pie Symbol

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Numbers & Operations

  • Even Numbers are divisible by 2: 0,2,4,6,8,10,12,14….
  • Odd Numbers are not evenly divisible by 2: 1,3,5,7,9,11,13,15….
  • Consecutive Numbers follow in order: 5,6,7,8,9,10
  • Prime Numbers are only divisible by 1 and itself: 3,5,7,11,13,17
  • Composite Numbers are divisible by multiple factors: 1,2,3,4,6,12
  • Factors are number by which another number is evenly divisible: 10 - 1,2,5,&10 are factors of 10.
  • Exponents is a small number positioned slightly higher and to the right of another; it means repeated multiplication. 4^3 = 4*4*4=64
  • Square Numbers are those that result from multiplying a number by itself. √64 is 8. 8*8=64
  • Whole Numbers are numbers with no decimals: 1,2,3,4,5
  • Integers are negative numbers: -1,-3,-5
  • Rational Numbers are fractions or a ratios: ⅞, ½,.456,.898
  • Irrational Numbers can be written as decimals, not perfect squares: √5, 0.325487, 3.14(pie symbol).

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Numbers: Integers

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Numbers: Integers

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Numbers: Rational vs. Irrational

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Numbers: Place Values

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Numbers: Absolute Value

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Numbers: Decimals

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Exponents

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Multiplying Radicals

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Scientific Notation

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Fractions

  • Fractions are parts of a whole.
  • Denominator is the bottom number.
  • Numerator is the top number.
  • Proper Fractions have a numerator that is less than the denominator. ⅓ or ⅞
  • Improper Fractions have a numerator greater than or equal to the denominator. 10/3 or 7/5
  • Mixed Numbers contain a whole number and a fraction.
  • Reducing Fractions means using smaller numbers to express the same amount. 2/4 = ½
  • Finding Common Denominator means the number on the bottom are the same. ⅔ & ⅘ can be multiplied by ⅔ * 5 and ⅘ *3 = 10/15 & 12/15

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Fractions

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Fractions: Adding

Adding Fractions with Like Denominator (down stairs)

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Fractions: Subtracting

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Fractions: Multiplying

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Fractions: Dividing (Keep, Flip, Change)

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Percents

Percents means per 100. In other words, 64% means 64 out of 100. Or .64 Or 64/100.

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Percents to Decimals to Fractions

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Number Relationships

  • Ratios compare two numbers using words, numbers or fractions. 8:10 or 8/10 or .08
  • Proportions is an equation that states that two ratios are equivalent. ¾ = 6/8
  • Probability is the likelihood of something happening.
  • Greater than symbol is >. 10 >4
  • Less than symbol is <. 15<25
  • Equal to symbol is =. 16=16/16
  • Greatest Common Factor (GCF) is the largest number that is a factor of two or more given numbers.
  • Multiples are numbers that can be evenly divided.

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Measurements: Conversions

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LENGTH: �12 inches = 1 foot

3 feet = 1 yard

1,760 yards = 1 mile

5,280 feet = 1 mile

CAPACITY:

8 ounces = 1 cup

2 cups = 1 pint

2 pints = 1 quart

4 quarts = 1 gallon

WEIGHT:

16 ounces = 1 pound

2,000 pounds = 1 ton

TIME:

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

52 weeks = 1 years

12 months = 1 year

365 days = 1 year

Convert 6 feet into inches:

6 feet = 6 X 12 inches = 72 inches

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Convert 56 ounces in cups:

56 ounces / 8 ounces = 7 cups

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Metric Measurements

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Geometry

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Vertex is the point of intersection

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Statistics: Mean, Median, Mode, & Range

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Probability - Cross Multiply & Divide

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Percents always out of 100.

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Graphs & Tables

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Algebraic Concepts

  • Variables - letters or symbols that represent unknown values. 4m - the m is a variable.
  • Constant - numbers or values that are known are called constants. 4m - 7 - the 7 is a constant.
  • Coefficients - the number part of a term containing a number and a variable. 4m - the 4 is a coefficient.
  • Algebraic Terms - any variable, constant, or multiplication or division of a number with a variable. 8y is an algebraic term.
  • Algebraic Expressions - combines numbers, operations, and at least one variable. 5cd + 7 - 5cd is an algebraic expression.
  • Simplify - this means to combine like terms 6a + 7 - a + 5 to simplify means 5a + 12.
  • Equation contains an equal sign. 5y = 15
  • Solution is the value for the variable that makes the equation true. 5y = 15. Y = 3

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Inequalities

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Solving One-Step

Equations

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Distributive Property

F - First x First

O - Outside x Outside

I - Inside x Inside

L - Last x Last

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Factoring Trick

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Mathematical Formulas

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Area - Amount of Space Covered Inside a Shape

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Usually Multiple

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Perimeter - Distance around a figure / Usually add them up

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Circle Formulas: Area & Circumference

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Volume - Measures capacity; it tells how much a solid or liquid is able to hold

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Distance Between Points

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Slope : Rise/Run & Rate of Change

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Slope Intercept Form - AKA “A Linear Equation”

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Pythagorean Theorem

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Domain vs. Range

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Sine, Cosine, & Tangent = SOHCAHTOA

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Distance Formula

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Work Formula = Rate X Time

Carlos lays bricks at a rate of 20 bricks per hour, how many hours will it take him to complete a brick wall made up of 800 bricks?

800 = 20 X t

T = 800 / 20

T = 40 hours

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Density - DMV

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Interest Rate

To find the interest rate, you take interest = principal * rate * time

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Quadratic Trick

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