Intermediate 2 Mathematics/Printable version

Intermediate 2 Mathematics

The current, editable version of this book is available in Wikibooks, the open-content textbooks collection, at
https://en.wikibooks.org/wiki/Intermediate_2_Mathematics

Permission is granted to copy, distribute, and/or modify this document under the terms of the Creative Commons Attribution-ShareAlike 3.0 License.

Introduction

Intermediate 2 Mathematics is a Scottish Qualifications Authority course taught in Scottish schools. It is a follow on from General Level Mathematics and Intermediate 1 Mathematics. This course leads onto Higher Mathematics and exit to college courses.

There are two different Intermediate 2 Mathematics courses:

• C100 11 Mathematics: Maths 1, 2 and 3
• C101 11 Mathematics: Maths 1, 2 and Applications

Both courses have exactly the same content in units 1 and 2 but C100 11 has a further unit which builds on material previously learnt in units 1 and 2 and the additional unit in C101 11 teaches students real life applications of mathematics.

This wikibook, while incomplete at the moment, should offer students a valuable revision tool once finished. If you have already sat this course or have qualifications in mathematics, please consider contributing to this book. While anyone can edit this book, you may have difficulty contributing material that is at the appropriate level if you have not sat a course equivalent to or more advanced than Intermediate 2.

Where to Go Next

This book is written so that the content in unit 2 builds on the information learnt in unit 1 and unit 3 and applications will build on what you've learnt in units 1 and 2. We therefore recommend you start at unit 1.

• Introduction to Mathematics 1

Introduction (Unit 1)

Welcome to Mathematics 1. This is part of the Intermediate 2 Mathematics course. This unit follows on from the work learnt in Intermediate 1 and General level Mathematics. This book assume you have completed one of these courses.

Outcomes

Each sub-section of this unit is called an outcome. This unit has the following outcomes:

• Calculations Involving Percentages
  • Representing Percentages
  • Appreciation
  • Deprecation
  • Interest
  • Compound Interest
  • Discounts and Sales

• Volumes of Solids
  • Significant Figures
  • Areas
  • Spheres
  • Cones
  • Prisms
  • Composite Solids

• Linear Relationships

(to be expanded)

• Algebraic Operations

(to be expanded)

• Properties of the Circle

(to be expanded)

Revision and Tests

Once you have completed this unit, you should attempt the revision exercise and the tests:

• Revision
• Level C Test
• A/B Test

Algebraic Operations

Order of Operations

The order of operations tells you what to do first when you see a problem. This is something that you will keep for all levels of math. The order of operations is fundamental even past Calculus.

An acronym that helps memorize this order is P.E.M.D.A.S.
Another way to memorize it is by saying:

Please

Parentheses

Excuse

Exponents

My

Multiplication

Dear

Division

Aunt

Addition

Sally

Subtraction

Here are some examples of how this works:

Ex.1

$(2+5)*3^{2}$

Solution

$=(7)*3^{2}$
$=(7)*9$

$=63$

Before we start the next example let's take a look on how this problem would look if we hadn't had the parentheses.
$2+5*3^{2}$

$=2+5*9$

$=2+45$

$=47$

As you can see doing things in a certain order really does change the outcome of the and equation.

Ex.2

$(2+2)^{2}+(3-2)*5$

Solution

$(4)^{2}+(1)*5$

$16+1*5$

$16+5$

$21$