# Fractions, decimals and percentages

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Fractions, decimals and percentages Some notes for the lesson. Extra practice questions available. A. Quick quiz on units Some of the exam questions will have units in them, and you may have to convert 1. How many metres in a kilometre? 2. How many milligrams in a gram? 3. How many millimetres in a centimetre? 4. How many millilitres in a litre? 5. 7 Km = metres 6. 42mm = centimetres Km = m = cm B. What can you remember about fractions and percentages? Try the card sorting game as well What is 10% of 70? 2. Can you find 15% of 70 without a calculator? 3. What is 5% of 6.50? 4. Convert 17% to a decimal number 5. Convert 140% to a decimal number (hint: think pounds and pence) 6. Freda estimates that the winter gas bill is going to be 170. She puts 12 a week away for the bill. How many weeks before Freda has enough to pay the bill? 7. What is the largest number that divides 12 and 18 without leaving a remainder? C. Finding a fraction of an amount using a calculator Divide by the number on the bottom Multiply by the number on the top Example: find 3 5 of 40. You do 40 5 then multiply the answer by 3. Gives 24 A drawing can help sometimes. What is each box worth if all five of them are worth 40? How much are 3 boxes worth? Try these (some give whole numbers, some give decimals) 1) 2 7 of 63 2) 4 9 of 36 3) 7 10 of ) Four out of ten cats prefer fish. You have 75 cats. How many prefer fish?

2 D. Writing one quantity as a fraction of another Write both quantities in the same units (watch out for this) Check if the question tells you the 'whole' or if you have to find it first Write the 'part' over the 'whole' Cancel the fraction down Example: write 5p as a fraction of Step 1, change the 0.75 to 75 pence. 5 Step 2, write 75. Step 3, cancel the fraction down 1 15 Example 2: sometimes you have to add up to find the whole There are 24 people on the train and 36 empty seats. What fraction of the train is 36 empty? The 'whole' is = 60. Fraction is 60. This cancels down to 3 5. Try these 1) Nigel has three red fish and twelve gold fish. What fraction of his fish are red? 2) Evadne said I have 4 apples and 7 oranges in my fruit bowl, so the fraction of my 4 fruit bowl that is apples is. Is Evadne right? Explain your answer. 7 3) There are 12 people in a room and four are male. What fraction of the people is male? 4) What is 2 as a fraction of 10? 5) What is 35p as a fraction of 1.50? 6) What is 400m as a fraction of 1.2Km? 7) A computer monitor has a resolution of pixels horizontally and 1080 pixels vertically. Write the vertical size of the monitor as a fraction of the horizontal size. 8) The train runs every day including Weekends. It is late 12 days one September. What fraction of the days is the train late? E. Finding the value of a percentage Per Cent just means 'out of a hundred' Find 1% of a quantity by dividing by 100 Find any other percentage by multiplying by the percent figure Its just the same as Section C but with 100 as the denominator of the fraction 35% off ipad Was 499 How much is the ipad in the sale? How could you work this out without a calculator?

3 F. Writing one quantity as a percentage of another Percentages are often used to compare different organisations or areas. E.G. crime rates in different wards in Birmingham, or success rates for a specific operation between different hospitals. Both of these have been in the news recently. The method is very similar to Section D but with fractions out of 100. Decide which is the 'whole' and the 'part' You might have to calculate the part or the whole Convert units if you need to: must be in same units Divide the part by the whole, don't round off your decimal too much Multiply the answer by 100 Round off to a sensible number of figures (one decimal place of percentages is usually OK if they don't ask for something specific) Example 1: Write 25 as a percentage of 75. Start at Step 3: Your calculator will give so round it to 33.3% Example 2: Nathan was 84Kg and is now 70Kg. What percentage of his weight has he lost? Part is = 14 and the whole is 84Kg = so round that to 16.7% Example 3: A 3Kg bag of carrots usually costs 1.20 but has been reduced by 24p. What is the percentage reduction? Part is 20p but we have to write that as Whole is Percentage is = 20% Try these 1) What is 15p as a percentage of 1.80? 2) Write 200g as a percentage of 1.25 Kg 3) You have to take 150ml of a reagent and add enough water to make 1 litre of solution. What percentage of the solution is reagent? 4) Tom scores 15 out of 20, Hari scores 35 out of 45 and Faith scores 18 out of 24. Work out their percentage scores. Who scored highest? 5) Lionel weighed 106Kg at the start of his diet. He now weighs 89Kg. What percentage of his starting weight has he lost? Give your answer to one decimal place. 6) Billy the bull has lost 340Kg over the last three months, and he know weighs 730 Kg. What percentage of the starting weight has the bull lost? 7) A supermarket buys in 250 bags of salad for 40p each and sells 207 of them for 95p each. The rest were not sold as they were out of date. What was the percentage profit on the salad bags? 8) A local mathematics club has the following members Men Women Girls Boys a) What percentage of the members are boys? b) What percentage of the members are female?

4 G. Percentage Increase and Decrease You can find the value of the percentage increase or decrease and then add it on or take it away from the whole. That was how the questions in the last section worked. Or you can use a 'multiplying factor'. Suppose Fred earns 9 per hour and then has a 10% increase. You can work out his new hourly rate by multiplying by 1.1. The 1.1 came from 100% + 10% = 110% divided by 100%. Example: it costs 3.60 to park a car for three hours in a car park. Prices go up by 5%. What is the new cost to park?. 100% + 5% = = 1.05 times as much. So = 3.78 Example: A laptop cost 300. It is reduced by 15% in a sale. Work out the new cost of the laptop = 85% 100 = So the new cost is = 255. Use either method to work out the following questions 1) Increase by 15% 2) Decrease by 8%. Round to nearest penny 3) A barrel of whisky loses 8% of its capacity to evaporation when it is maturing, this is known as the 'angels share'. If the barrel contained 240 quarts to begin with, how many are left when mature? 4) Aaron starts a new job on per year but with a 3% rise after three months. Hartinder starts a new job on per year and receives a pay rise of 5% after three months. Who has the greater annual salary after 6 months? 5) Which would you rather have, a pay rise of 10% each year or a pay rise of 5% every 6 months. Can you explain your answer? H. Index Numbers The retail price index tells you how much the cost of a 'standard' bag of shopping has changed over the years. One year is adopted as 100% and other years are written as percentages of that 'base year'. Below are the January RPI figures for 5 year intervals Year Index Food Suppose a typical weekly food shop for a couple cost in What would it cost in 2011? = Suppose a typical wage for a 18 year old in 1977 was 35 per week. What would that be worth in today's money? = Try the review exercise for more searching questions and past paper exam questions.

5 Answers I've put some methods with later questions so I hope they can act as extra examples. Section A 1) ) ) 10 4) ) ) 4.2 7) 400m, cm Section B 1) 7 (divide by 10 to find 10%) 2) Find 10%, then find half of that to get 5%, so 15% is = ) 33p 4) ) ) = 14 rem 2 or so 15 weeks 7) 6 This is called the Highest Common Factor Section C 1) 63 7 = 9 2 = 18 2) 36 9 = 4 4 = 16 3) = = ) = = 30 cats Section D 1) Whole = = 15 fish, so 3 15 = 1 5 2) Evadne is wrong, because the denominator of the fraction is = 11 pieces of fruit 3) 4 12 =1 3 6) Change units Section E 4) = =1 5 5) Change units 7) = = ) = reduction, so = ) = 2 5 Non calculator: find 10% of 499, Add this three times, then add half as much. That should give 24.95, and the total reduction comes to Or you could argue that if 35% off, then the cost is 65%. Then you could find half of 499, 10% and 5% and then add those three amounts. Section F 1) = 8.3% 2) = 16% (change unit) 3) = 15% (whole is 1000ml 'water to make') 4) = 75% = 77.8% = 75% Hari has most 5) = 17Kg is part = 16.0% (rounded from 16.03) 6) You need to find original weight of the bull! Tricky! Ended up at 730, lost 340, so original weight was = 1070Kg. Then = 31.8% loss. This is a Grade C high scoring question. 7) Costs = 96 Sales = Profit Percentage: = 104.8% 8) 12.5% and 56.25%

6 Section G 1) = 115 so new amount is = ) = 92% so new amount is = ) = 92% so new capacity is = quarts rounding to 221 4) Aaron: = Hartinder: = Aaron gets more. Watch out for = 103 so 1.03 multiplying factor, not 1.3. Missing the zero out of the decimal is a common mistake 5) Make up a wage, say % rise is = % every 6 months, you get 5% extra in 6 months, then that figure is the basis for the next pay rise of 5% at the end of the year. You can just multiply by 1.05 twice = So you are 50 better off... That 50 is the 5% on the extra 5% you earned in the first 6 months... Compound interest works like this. Section H Look at the Index questions from the textbook and in the review exercise

### Grade 7/8 Math Circles February 3/4, 2015 Arithmetic Aerobics

Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Mental Math is Good For You! Grade 7/8 Math Circles February 3/4, 2015 Arithmetic Aerobics You ve probably

### CONNECT: Currency, Conversions, Rates

CONNECT: Currency, Conversions, Rates CHANGING FROM ONE TO THE OTHER Money! Finances! \$ We want to be able to calculate how much we are going to get for our Australian dollars (AUD) when we go overseas,

### 2 Fractions, decimals and percentages

2 Fractions, decimals and percentages You can use fractions, decimals and percentages to help you solve everyday practical problems. Fractions Write fractions in their simplest form. Do this by dividing

### 1 Write the value of each underlined digit as a fraction. 2 Write the value of each underlined digit in words. 3 Write these numbers in words.

1 Write the value of each underlined digit as a fraction. a 2.765 b 0.914 c 12.38 d 36.95 2 Write the value of each underlined digit in words. a 7.21 b 0.287 c 124.38 d 0.004 3 Write these numbers in words.

### Nursing 131 Household to Metric Conversion

Nursing 3 Household to Metric Conversion Slide 2 & 3 In the metric system liquid volumes are measured in milliliters or liters. Weight is measured in micrograms, milligrams, grams, or kilograms. liter

### Advice, Guidance & Over 400 Online Questions for Extra Revision & Practice

Advice, Guidance & Over 00 Online Questions for Extra Revision & Practice 00_Starkings_Prelims.indd 2/2/20 ::9 PM Chapter Diagnostic assessment NMC Standards for Pre-registration Nursing Education At the

### BOSTON REED. Clinical Medical Assistant Program Math Review Handout. Addition... Page 2. Subtraction... Page 3. Multiplication...

BOSTON REED Clinical Medical Assistant Program Math Review Handout Contents Addition... Page 2 Subtraction... Page 3 Multiplication... Page 4 Decimals... Page 5 Decimal Practice Math... Page 7 Fractions...

### In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.

Percentages mc-ty-percent-009-1 In this unit we shall look at the meaning of percentages and carry out calculations involving percentages. We will also look at the use of the percentage button on calculators.

### If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C?

Problem 3 If A is divided by B the result is 2/3. If B is divided by C the result is 4/7. What is the result if A is divided by C? Suggested Questions to ask students about Problem 3 The key to this question

### 2. (a) Express the following numbers as products of their prime factors.

1. Jack and Jill share 18 in the ratio 2:3 Work out how much each person gets. Jack.. Jill... (Total 2 marks) 2. (a) Express the following numbers as products of their prime factors. (i) 56 (ii) 84.. (4)

### Percent Word Problems

Percent Word Problems Ratio and proportion method Here are several aids that will help you solve word problems: 1. Make sure you understand the question that is asked 2. Sort out the information to make

### Possible Stage Two Mathematics Test Topics

Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material

### Name: Date: Use the following to answer questions 2-3:

Name: Date: 1. A study is conducted on students taking a statistics class. Several variables are recorded in the survey. Identify each variable as categorical or quantitative. A) Type of car the student

### When calculating how much of a drug is required, working with the formula helps the accuracy of the calculation.

DRUG CALCULATIONS When calculating how much of a drug is required, working with the formula helps the accuracy of the calculation. Always remember this formula: What you want X Quantity it comes in What

### Workbook. Numerical Reasoning tests. Careers Service

Workbook Numerical Reasoning tests Careers Service Contents Contents...3 1. Numeric Reasoning Questions...4 1.1. Tables of Data...4 1.2 Maths Problems...4 2. Questions on Data Tables...5 2.1 s...14 2.2

### MA 1125 Lecture 14 - Expected Values. Friday, February 28, 2014. Objectives: Introduce expected values.

MA 5 Lecture 4 - Expected Values Friday, February 2, 24. Objectives: Introduce expected values.. Means, Variances, and Standard Deviations of Probability Distributions Two classes ago, we computed the

Table of Contents Introduction to Acing Math page 5 Card Sort (Grades K - 3) page 8 Greater or Less Than (Grades K - 3) page 9 Number Battle (Grades K - 3) page 10 Place Value Number Battle (Grades 1-6)

### Maths for Healthcare Professionals

Maths for Healthcare Professionals Mathematics Skills Guide All the information that you require to enable you to pass the mathematics tests within your course is contained within. Contents Fractions Page

### ACCUPLACER. Testing & Study Guide. Prepared by the Admissions Office Staff and General Education Faculty Draft: January 2011

ACCUPLACER Testing & Study Guide Prepared by the Admissions Office Staff and General Education Faculty Draft: January 2011 Thank you to Johnston Community College staff for giving permission to revise

### Chapter 5 End of Chapter Review Question KEY

Chapter End of Chapter Review Question KEY - (Key Question) Complete the following table and answer the questions below: Units consumed Total utility Marginal utility 0 0 0 0 0 a. At which rate is total

### Workbook. Numerical Reasoning tests. Careers Service

Workbook Numerical Reasoning tests Careers Service Numeric Reasoning and Aptitude Tests Introduction These notes are intended to help you with some typical tests that you may encounter in the numeric

### Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.

Work sample portfolio summary WORK SAMPLE PORTFOLIO Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum. Each portfolio is an example

### Name: Date: Use the following to answer questions 2-4:

Name: Date: 1. A phenomenon is observed many, many times under identical conditions. The proportion of times a particular event A occurs is recorded. What does this proportion represent? A) The probability

### Numeracy Test EXEMPLAR TEST 30 minutes No calculator allowed.

Numeracy Test EXEMPLAR TEST 30 minutes No calculator allowed. You may use paper for your working out. All correct answers are worth one mark. 1 Teachers organised activities for three classes of 24 pupils

### 7 CONTINUOUS PROBABILITY DISTRIBUTIONS

7 CONTINUOUS PROBABILITY DISTRIBUTIONS Chapter 7 Continuous Probability Distributions Objectives After studying this chapter you should understand the use of continuous probability distributions and the

### 14.4. Expected Value Objectives. Expected Value

. Expected Value Objectives. Understand the meaning of expected value. 2. Calculate the expected value of lotteries and games of chance.. Use expected value to solve applied problems. Life and Health Insurers

### Don t Make Me Think: Essential Pharmacy Math for Pharmacy Technicians Made Easy

J & D Educational Services, Inc. In association and co-sponsorship with Texas Tech University HSC School of Pharmacy Provides continuing education for certified pharmacy technicians. Texas Tech University

### MICROSOFT EXCEL STEP BY STEP GUIDE

IGCSE ICT SECTION 14 DATA ANALYSIS MICROSOFT EXCEL STEP BY STEP GUIDE Mark Nicholls ICT Lounge Data Analysis Self Study Guide Contents Learning Outcomes Page 3 What is a Data Model?... Page 4 Spreadsheet

### 2After completing this chapter you should be able to

After completing this chapter you should be able to solve problems involving motion in a straight line with constant acceleration model an object moving vertically under gravity understand distance time

### Lesson 4 Annuities: The Mathematics of Regular Payments

Lesson 4 Annuities: The Mathematics of Regular Payments Introduction An annuity is a sequence of equal, periodic payments where each payment receives compound interest. One example of an annuity is a Christmas

### Exam. Name. How many distinguishable permutations of letters are possible in the word? 1) CRITICS

Exam Name How many distinguishable permutations of letters are possible in the word? 1) CRITICS 2) GIGGLE An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm,

### Warm-Up 1. 1. What is the least common multiple of 6, 8 and 10?

Warm-Up 1 1. What is the least common multiple of 6, 8 and 10? 2. A 16-page booklet is made from a stack of four sheets of paper that is folded in half and then joined along the common fold. The 16 pages

### hundred thousands one thousands ten thousands one millions hundreds

Title: Rounding Numbers Grade(s): 4 Subject(s): Mathematics, Technology Education Author: ICAC Team Overview: After reviewing place value and rounding, students will create place value tables and solve

In-Depth Guide Advanced Spreadsheet Techniques Learning Objectives By reading and completing the activities in this chapter, you will be able to: Create PivotTables using Microsoft Excel Create scenarios

### VIU Culinary Arts Assessment Review and Practice Test

VIU Culinary Arts Assessment Review and Practice Test 2 hours (approximately) You may use a calculator Conversion tables are provided Successful candidates may be invited for an informal interview (by

### DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability

DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from

### 11 Fractions and Percentages

MEP Practice Book SA Fractions and Percentages. Fractions, Decimals and Percentages. Express each of the following percentages as a fraction in its lowest terms. 0% % % (d) 0% (e) 60% (f) 0% (g) % (h)

### Mathematics Assessment Collaborative Tool Kits for Teachers Looking and Learning from Student Work 2009 Grade Eight

Mathematics Assessment Collaborative Tool Kits for Teachers Looking and Learning from Student Work 2009 Grade Eight Contents by Grade Level: Overview of Exam Grade Level Results Cut Score and Grade History

### TIME VALUE OF MONEY PROBLEM #5: ZERO COUPON BOND

TIME VALUE OF MONEY PROBLEM #5: ZERO COUPON BOND Professor Peter Harris Mathematics by Dr. Sharon Petrushka Introduction This assignment will focus on using the TI - 83 to calculate the price of a Zero

### MTH 150 SURVEY OF MATHEMATICS. Chapter 11 CONSUMER MATHEMATICS

Your name: Your section: MTH 150 SURVEY OF MATHEMATICS Chapter 11 CONSUMER MATHEMATICS 11.1 Percent 11.2 Personal Loans and Simple Interest 11.3 Personal Loans and Compound Interest 11.4 Installment Buying

### CHAPTER 1. Compound Interest

CHAPTER 1 Compound Interest 1. Compound Interest The simplest example of interest is a loan agreement two children might make: I will lend you a dollar, but every day you keep it, you owe me one more penny.

### Basic Pre Algebra Intervention Program

Basic Pre Algebra Intervention Program This 9 lesson Intervention Plan is designed to provide extra practice lessons and activities for students in Pre Algebra. The skills covered are basics that must

### STATISTICS 8, FINAL EXAM. Last six digits of Student ID#: Circle your Discussion Section: 1 2 3 4

STATISTICS 8, FINAL EXAM NAME: KEY Seat Number: Last six digits of Student ID#: Circle your Discussion Section: 1 2 3 4 Make sure you have 8 pages. You will be provided with a table as well, as a separate

### DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability

DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability RIT Score Range: Below 171 Below 171 171-180 Data Analysis and Statistics Data Analysis and Statistics Solves

### Thursday, November 13: 6.1 Discrete Random Variables

Thursday, November 13: 6.1 Discrete Random Variables Read 347 350 What is a random variable? Give some examples. What is a probability distribution? What is a discrete random variable? Give some examples.

### Example: Find the expected value of the random variable X. X 2 4 6 7 P(X) 0.3 0.2 0.1 0.4

MATH 110 Test Three Outline of Test Material EXPECTED VALUE (8.5) Super easy ones (when the PDF is already given to you as a table and all you need to do is multiply down the columns and add across) Example:

### ( )( ax b) ( ) 2. x 2 10x + 25 = (x 5) 2. 9x 2 + 12x + 4 = (3x + 2) 2. x 2 6x + 9 = (x 3) 2. 4x 2 + 20x + 25 = (2x + 5) 2

FACTORING SHORTCUTS.. Although most factoring problems can be done with generic rectangles, there are two special factoring patterns that, if recognized, can be done by sight. The two patterns are known

### Curriculum Guide. Course Description:

Curriculum Guide Course: Mathematics III Course number: 14:01 Written: 3/09 Prerequisites: none Level/credits: LLD/5 credits Grades offered to: 11 th and 12 th Course Description: Mathematics III is a

### Introduction to the Hewlett-Packard (HP) 10BII Calculator and Review of Mortgage Finance Calculations

Introduction to the Hewlett-Packard (HP) 10BII Calculator and Review of Mortgage Finance Calculations Real Estate Division Sauder School of Business University of British Columbia Introduction to the Hewlett-Packard

### FSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers

FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward

### Manual for SOA Exam FM/CAS Exam 2.

Manual for SOA Exam FM/CAS Exam 2. Chapter 7. Derivative markets. c 2009. Miguel A. Arcones. All rights reserved. Extract from: Arcones Manual for the SOA Exam FM/CAS Exam 2, Financial Mathematics. Fall

### From the Webisode: Math Meets Culinary Arts

lesson Connections to the Core Scaling Up From the Webisode: Math Meets Culinary Arts In this lesson, s solve a multi-step problem by using ratio and rate reasoning to scale for large quantities and compare

### Finance CHAPTER OUTLINE. 5.1 Interest 5.2 Compound Interest 5.3 Annuities; Sinking Funds 5.4 Present Value of an Annuity; Amortization

CHAPTER 5 Finance OUTLINE Even though you re in college now, at some time, probably not too far in the future, you will be thinking of buying a house. And, unless you ve won the lottery, you will need

### Word Problems Involving Systems of Linear Equations

Word Problems Involving Systems of Linear Equations Many word problems will give rise to systems of equations that is, a pair of equations like this: 2x+3y = 10 x 6y = 5 You can solve a system of equations

MA3245 Financial Mathematics I Suggested Solutions of Tutorial 1 (Semester 2/03-04) Questions and Answers 1. What is the difference between entering into a long forward contract when the forward price

### 1. Annuity a sequence of payments, each made at equally spaced time intervals.

Ordinary Annuities (Young: 6.2) In this Lecture: 1. More Terminology 2. Future Value of an Ordinary Annuity 3. The Ordinary Annuity Formula (Optional) 4. Present Value of an Ordinary Annuity More Terminology

### Online LEI Lesson 2. Lesson 2 Savings Accounts and U.S. Savings Bonds LEARNING, EARNING

Online LEI Lesson 2 Lesson 2 Savings Accounts and U.S. Savings Bonds On l i n e L E I 17 2 Savings Accounts and U.S. Savings Bonds LESS 2 SAVINGS ACCOUNTS U. S. SAVINGS BDS Time Required Lesson Description

### ACTIVITY 14.1 STOMPING GROUNDS: BUYERS

LESSON 14 HOW ARE STOCK PRICES DETERMINED? ACTIVITY 14.1 STOMPING GROUNDS: BUYERS Coffee is your favorite drink. For you and everyone in your family, a good day begins with a nice fresh cup. Stomping Grounds,

### Washington State K 8 Mathematics Standards April 2008

Washington State K 8 Mathematics Standards Data Analysis, Statistics, and Probability Strand In kindergarten through grade 5, students learn a variety of ways to display data, and they interpret data to

### 0:40 NUMERACY NON-CALCULATOR YEAR 7. Example test. Use 2B or HB pencil only SESSION 2. Time available for students to complete test: 40 minutes

NUMERACY NON-CALCULATOR YEAR 7 Example test 0:40 SESSION 2 Time available for students to complete test: 40 minutes Use 2B or HB pencil only Australian Curriculum, Assessment and Reporting Authority. 1

### Database Concepts Using Microsoft Access

Database Concepts Using Microsoft Access lab 9 Objectives: Upon successful completion of Lab 9, you will be able to Understand fundamental concepts including database, table, record, field, field name,

### X: 0 1 2 3 4 5 6 7 8 9 Probability: 0.061 0.154 0.228 0.229 0.173 0.094 0.041 0.015 0.004 0.001

Tuesday, January 17: 6.1 Discrete Random Variables Read 341 344 What is a random variable? Give some examples. What is a probability distribution? What is a discrete random variable? Give some examples.

### Applicants without a Danish CPR number applying for admission to higher education. User guide optagelse.dk

Applicants without a Danish CPR number applying for admission to higher education User guide optagelse.dk Applicants without a Danish CPR number applying for admission to higher education User guide optagelse.dk

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Ch. 4 Discrete Probability Distributions 4.1 Probability Distributions 1 Decide if a Random Variable is Discrete or Continuous 1) State whether the variable is discrete or continuous. The number of cups

### Solutions to Homework 6 Statistics 302 Professor Larget

s to Homework 6 Statistics 302 Professor Larget Textbook Exercises 5.29 (Graded for Completeness) What Proportion Have College Degrees? According to the US Census Bureau, about 27.5% of US adults over

### Chapter 21: Consumer Behavior and Utility Maximization

Chapter : Consumer Behavior and Utility Maximization ANSWERS TO END-OF-CHAPTER QUESTIONS - Explain the law of demand through the income and substitution effects, using a price increase as a point of departure

Advantages and Disadvantages of Different Graphs Focus on After this lesson, you will be able to... φ compare φ information from different graphs identify the advantages and disadvantages of different

### AP * Statistics Review. Designing a Study

AP * Statistics Review Designing a Study Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production

### Graphic Organizers SAMPLES

This document is designed to assist North Carolina educators in effective instruction of the new Common Core State and/or North Carolina Essential Standards (Standard Course of Study) in order to increase

### SYLLABUS PSYCHOLOGY 2C03: SOCIAL PSYCHOLOGY Department of Psychology, Neuroscience, and Behaviour McMaster University Winter 2011

SYLLABUS PSYCHOLOGY 2C03: SOCIAL PSYCHOLOGY Department of Psychology, Neuroscience, and Behaviour McMaster University Winter 2011 Course time: TRF 11:30am Course location: CNH 104 Professor Dr. J. M. Ostovich

### Education & Training Plan. Business Math Specialist Certificate Program with Externship. Business Math Specialist Certificate Program with Externship

Office of Professional & Continuing Education 301 OD Smith Hall Auburn, AL 36849 http://www.auburn.edu/mycaa Contact: Shavon Williams 334-844-3108; szw0063@auburn.edu Auburn University is an equal opportunity

### STOP PLEASE DO NOT TURN THE PAGE UNTIL INSTRUCTED TO DO SO. Student Questionnaire. Grade 4

STOP PLEASE DO NOT TURN THE PAGE UNTIL INSTRUCTED TO DO SO. Student Questionnaire Grade National Center for Education Statistics Institute of Education Sciences U.S. Department of Education 1990 K St.,

### Math-in-CTE Lesson Plan Template

MATH-IN-CTE TECHNICAL ASSISTANCE Math-in-CTE Lesson Plan Template Lesson Title: Culinary Percentages/Ratio Lesson # 3 Author(s): Phone Number(s): E-mail Address(es): William Karsten karstenw@nclack.k12.or.us

### Inventory Setup and Maintenance

Inventory Setup and Maintenance Inventory Control In an Inventory Control System we track the number of items we have left (unsold) and when we sell an item we automatically debit the cost of sales account.

### PHARMACOLOGY MATH FOR THE PRACTICAL NURSE

U.S. ARMY MEDICAL DEPARTMENT CENTER AND SCHOOL FORT SAM HOUSTON, TEXAS 78234-6100 PHARMACOLOGY MATH FOR THE PRACTICAL NURSE SUBCOURSE MD0904 EDITION 100 DEVELOPMENT This subcourse is approved for resident

### MATH 110: College Algebra

MATH 110: College Algebra Introduction Required Materials Course Components Final Exam Grading Academic Policies Study Suggestions Course Outline and Checklist Introduction Welcome to Math 110. This course

### Excel Database Management

How to use AutoFill Whether you just want to copy the same value down or need to get a series of numbers or text values, fill handle in Excel is the feature to help. It's an irreplaceable part of the AutoFill

### 9.2 Summation Notation

9. Summation Notation 66 9. Summation Notation In the previous section, we introduced sequences and now we shall present notation and theorems concerning the sum of terms of a sequence. We begin with a

### Making a budget: lesson plan

Making a budget Topic: ESOL, numeracy Level: SfL Entry 3 / SQA National 4/ CEFR B1 Time: 90 minutes Objectives Learners will be able to complete a simple personal budget Learners will practice adding,

### How to Sell Your Municipals at the Right Price

How to Sell Your Municipals at the Right Price Back in the fifties and sixties, when the municipal bond market as we know it today was in its infancy, it was difficult to feel assured that you were getting

### Interpreting Data in Normal Distributions

Interpreting Data in Normal Distributions This curve is kind of a big deal. It shows the distribution of a set of test scores, the results of rolling a die a million times, the heights of people on Earth,

### Solving Percent Applications

6.5 Solving Percent Applications 6.5 OBJECTIVES 1. Solve for the unknown amount in a percent problem 2. Solve for the unknown rate in a percent problem 3. Solve for the unknown base in a percent problem

### Just Married. PART 1 - Meet Neil and Julia. PART 2 - A tour around the kitchen

Just Married Level: 1º E.S.O. Grammar: Demonstratives: this, that, these, those. Use of the definite and indefinite article "a", "the". Some and any, countable uncountable nouns. Irregular plurals Functions:

### Primes. Name Period Number Theory

Primes Name Period A Prime Number is a whole number whose only factors are 1 and itself. To find all of the prime numbers between 1 and 100, complete the following exercise: 1. Cross out 1 by Shading in

### PERCENTAGE AND ITS APPLICATIONS

Percentage and Its Applications MODULE - 2 8 PERCENTAGE AND ITS APPLICATIONS You must have seen advertisements in newspapers, television and hoardings etc of the following type: Sale, up to 60% off. Voters

### 300 Chapter 5 Finance

300 Chapter 5 Finance 17. House Mortgage A couple wish to purchase a house for \$200,000 with a down payment of \$40,000. They can amortize the balance either at 8% for 20 years or at 9% for 25 years. Which

### Two-Way Tables. Lesson 16. Main Idea. New Vocabulary two-way table relative frequency

Lesson 16 Main Idea Construct and interpret two-way tables. New Vocabulary two-way table relative frequency Math Online glencoe.com Two-Way Tables SCHOOL The data from a survey of 50 students is shown

### DRAFT. New York State Testing Program Grade 7 Common Core Mathematics Test. Released Questions with Annotations

DRAFT New York State Testing Program Grade 7 Common Core Mathematics Test Released Questions with Annotations August 2014 Developed and published under contract with the New York State Education Department

### Teacher Questionnaire

[Placeholder for identification label] (105 x 35 mm) OECD Teaching and Learning International Survey (TALIS) Teacher Questionnaire Main Study Version (MS-12-01) [International English, UK Spelling] [National

### paediatric nursing: calculation skills

Calculation skills p a e d i a t r i c n u r s i n g : c a l c u l a t i o n s k i l l s Written by: Meriel Hutton RGN, BA, CertEd, PhD, Senior Associate Dean (Undergraduate Studies, Nursing and Midwifery),

### Applicants with a Danish CPR number applying for higher education. User guide Optagelse.dk

Applicants with a Danish CPR number applying for higher education User guide Optagelse.dk Applicants with a Danish CPR number applying for higher education User guide Optagelse.dk Author: Tine Kanne Sørensen,

### Solving Systems of Linear Equations Putting it All Together

Solving Systems of Linear Equations Putting it All Together Outcome (learning objective) Students will determine the best method to use when solving systems of equation as they solve problems using graphing,

### Laboratory Math II: Solutions and Dilutions

Slide 1 Laboratory Math II: Solutions and Dilutions Philip Ryan, PhD Post-Doctoral Fellow National Cancer Institute, NIH Welcome to the National Institutes of Health, Office of Intramural Training & Education

### STAB22 section 1.1. total = 88(200/100) + 85(200/100) + 77(300/100) + 90(200/100) + 80(100/100) = 176 + 170 + 231 + 180 + 80 = 837,

STAB22 section 1.1 1.1 Find the student with ID 104, who is in row 5. For this student, Exam1 is 95, Exam2 is 98, and Final is 96, reading along the row. 1.2 This one involves a careful reading of the

Teacher Gradebook Manual About K12 Systems, Inc. Sapphire Teacher Gradebook is one of many products offered by our company since 1981. K12 Systems business has centered on providing exceptional software

### Census@School Data Handling and Probability (Grades 10, 11 and 12)

Census@School Data Handling and Probability (Grades 10, 11 and 12) Statistics South Africa, 2013 Pali Lehohla, Statistician-General Census@School Data Handling and Probability (Grades 10, 11 and 12) /

### Statistics and Probability

Statistics and Probability TABLE OF CONTENTS 1 Posing Questions and Gathering Data. 2 2 Representing Data. 7 3 Interpreting and Evaluating Data 13 4 Exploring Probability..17 5 Games of Chance 20 6 Ideas