Covers most Maths topics in Secondary High Schools
Created by an experienced maths teacher
Resources used with students studying Maths in Scottish Secondary Schools
Understanding how to Rationalise the Denominator is important to ensure your success in tests, assessments and exams.
|S1 and S2 Maths||HERE|
|National 5 Maths||HERE|
|All Other Courses||HERE|
|Exam Ques 1 (GCSE)||Surds|
|Exam Ques 2 (N5)||Surds (Paper 1, Ques 13)|
|Exam Ques 3 (N5)||Surds & Indices|
An exam question asks to “express with a rational denominator“ and to “give your answer in its simplest form” on the fraction below.
Source: 2015 N5 Maths, P1, Q13
Rationalising the Denominator means getting rid of any surds from the bottom (denominator) part of the fraction.
In the example below, to get rid of the √2 on the denominator, you multiply top and bottom by √2:
In the second example below, to get rid of the √7 on the denominator, you multiply top and bottom by √7 to leave 35 on the denominator:
We cover everything you need to know about Rationalising the Denominator in the Study Guides.
Passing your Maths exam significantly increases your career opportunities. Subscribing to the wealth of fantastic additional resources in the Online Study Pack may therefore be one of your best ever investments.
If you are looking for a ‘good’ Pass then give yourself the best possible chance of success in 2017/18 by being fully prepared and subscribe to the complete Online Study Pack today!
Over 60 Theory Guides on key Maths topics - N5 Exam questions used to aid understanding!
Dozens of worked solutions to worksheets to check your answers
Questions & answers to exam questions by topic - great for addressing problem areas
Step-by-step worked solutions to N5 past exam papers - unavailable elsewhere
Practice Booklets ensuring success in assessments, tests & exams
Self reflection guides to assess your Maths knowledge
“My Dad and I have worked together through several topics and three Practice Past Papers. When I get stuck, the detailed worked solutions explain everything so clearly and even give alternative ways to find the correct answer – Thank you so much for producing this fantastic resource.”
Darcey, Secondary School Maths Student
“Just want to say what a fantastic resource this is.
An absolute godsend for my Nat 4 and Nat 5 classes.
Mr Wilson, Teacher of Mathematics, Edinburgh (Sep 2016)
“The website is great!! It is very easy to navigate through and it has helped me understand many of the topics I was previously struggling with.”
Dean, Secondary School Maths student
“The website is really easy to follow and has absolutely everything you need to pass.”
Cameron, Secondary School Maths student
“Everything about my Maths course is here on this fantastic website. I use the study guides all the time to help my classroom learning as everything is explained so clearly – I have no excuses so it is all down to me now!”
Ben, Secondary School Maths Student
“I’d highly recommend this maths website to all parents wishing the best for their son or daughter. The clarity in which the topics have been explained through the study guides are simply first class.”
Mr W, Mathematics Teacher
“Hi, I am in my second year at Abertay University studying Forensics. Two years ago, while studying N5 Maths, my Maths teacher helped me realise my dreams by providing me with all the superb material which is now available on this website. With the right intention to study, everything is here for you to pass National 5 Maths”
Ross, former National 5 Maths student
“This material is quite the best that I’ve discovered. It helps students to focus on one subject at a time, gaining confidence as they work through the revision guides and self check booklets.”
Mr D, Mathematics Teacher
“The simplified methods in the study guides are easy to follow. I feel that I have progressed enormously with my Maths and I would encourage all pupils who are struggling to go onto this website as soon as possible.”
Marc, Secondary School Maths Student
“I am studying Maths at College since it a requirement for me to train to become a primary school teacher. I am delighted to have found this website and make my life long dream of becoming a teacher a reality!”
Sharon, Mature Maths Student
“I am studying GCSE Maths at College as I am hoping to go to University to study Accountancy. This website is just amazing!! I regularly refer to the Theory Guides to help me understand topics I am struggling with. The worked solutions in the Online Study Pack are also fantastic as it teaches me the correct way to lay out my working and, at the same time, check my answers.”
Hollie, Mature Maths Student
“Although I am only in 3rd year we are working at National 5 level maths and have a Unit Assessment in the next few weeks. I really want to study Computer Games Development at University which requires me to pass Maths so I am studying hard now. The website is helping me so much.”
Oliver, Secondary School Maths Student
“The website is really good as it breaks the whole course down into easy to understand sections. I need to get A-Level Maths next year as I want to go to university and study engineering. I am really glad to have found this website to help me on my way.”
Salim, Secondary School Maths Student
Home Page Links
Free resources to 100's of Maths topics are available by clicking on any of the 80 plus links to the right.