ArtsAutosBooksBusinessEducationEntertainmentFamilyFashionFoodGamesGenderHealthHolidaysHomeHubPagesPersonal FinancePetsPoliticsReligionSportsTechnologyTravel

How to get an A grade in GCSE maths

Updated on August 10, 2013

A or A* GCSE maths

Getting an A or A* in GCSE maths requires learning some very simple arithmetical rules. Many A and A* questions are based on knowing how to manipulate such things as equivalent fractions. B Grade questions are often based on no more than manipulating 3x2=6. So you get 3 = 6/2 or 2 = 6/3. The rule being any multiplying number jumping over an equal sign becomes a divider. A grade questions often conform to 2/3 = 4/6 and here you need to realise that so long as you know 3 out of 4 numbers , you can always find the missing number. The rule is to cross multiply the 2 numbers and use the other one as a divider. So if 2 was the missing number you would calculate (3x4) /6 = 2. Or if 6 was the missing number (3x4)/2 = 6. Another useful thing to realise is that when you cross multiply they will be equivalent. So you get 3x4 = 2x6. Getting an A grade in maths is easily achievable

What I have just shown you is how these simple arithmetical rules can be applied to solving algebra, trigonometry, formula and even percentage questions. Now I will give you examples of GCSE questions that apply to these simple arithmetical rules. Before doing this I will state a more basic arithmetical rule. Numbers that are involved in adding or subtracting turn into their opposites when they jump over the = sign. So 6+ 4 = 10 becomes 6 = 10-4 when the 4 jumps over and 6 - 2 = 4 becomes 6 = 4 +2 when the -2 jumps over. Only multiplying numbers become dividers when they jump over the = sign.


Let's try some algebra

a) X/3 = 2 so x = 3x2 ....x = 6

3x = 12 so x = 12/3.....x=4

b) (3x +8)/5 = 4 so 3x+8 = 20

3x = 20 - 8

3x = 12

x= 12/3.....x=4

c)(3x+2)/5 = (2x+8)/4

Simplest way to solve this is to cross multiply both sides because they are equivalent.

12x +8 = 10x + 40

12x- 10x = 40 - 8

2x = 32

x = 32/2

x = 16

Re- arranging formula

a) v = u +at make a the subject

u +at = v (no mathematical change)

at = v - u

a = (v- u) /t

b) this one is a bit trickier

a = 1/p + 1/q make p the subject


This is in the same form as 7 = 1/0.2 + 1/0.5

You can see that if you remove the numerators i.e the 1's then they need to be multiplied by the number 7

So 7x 0.2 x 0.5 = 0.2 + 0.5 Now we have it on a straight line so it is easy to continue.

Going back to the problem

apq = p+q

apq - p = q

now we need to factorise

p(aq -1) =q

p = q/ (aq-1)

Ok this was trickier because we had two numerators and had to factorise but if you want an A* you must know how to do this. If you are happy with an A don't let it worry you.

Trigonometry

A grade the sine rule

This is for non right angled triangles when you need to find the length of a side or an angle.

the rule is a/sinA = b/sin B

This is not an explanation of the rule just an example of how it is just based on knowing how to manipulate 2/3 = 4/6

a/ sin 50 =6/ sin 48 We know 3 out of 4 numbers. The sin 48 and sin 50 are stored in the calculator.

So a = (sin 50 x 6) /sin48

All we had to do was cross multiply and use the other number as a divider.

You may be interested in a hub I wrote about "How to get a grade C in GCSE maths. "

I always forget how to do that bluey link thing.



Comments

    0 of 8192 characters used
    Post Comment

    • seanorjohn profile imageAUTHOR

      seanorjohn 

      5 years ago

      Thanks Beth. There is no shame in being a word person. Most peoples jobs require very little in the way of numeracy skills. Very few jobs would require the skills of an A* in gcse maths

    • profile image

      Beth37 

      5 years ago

      I want you to know I didn't read this hub. Not b/c you're not a genius, or b/c it's not interesting, but b/c Im a buffoon. I'm a word person... throw a number in there and assign it meaning and my brain does a tailspin. Therefore I am hoping to comment on this and get it out there where ppl who would greatly benefit from it, might read it and... well... benefit from it. :) I love your hubs though mister. You know what a fan I am. :)

    working

    This website uses cookies

    As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

    For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: https://hubpages.com/privacy-policy#gdpr

    Show Details
    Necessary
    HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
    LoginThis is necessary to sign in to the HubPages Service.
    Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
    AkismetThis is used to detect comment spam. (Privacy Policy)
    HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
    HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
    Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
    CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
    Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy)
    Features
    Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
    Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
    Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
    Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
    Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
    VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
    PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
    Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
    MavenThis supports the Maven widget and search functionality. (Privacy Policy)
    Marketing
    Google AdSenseThis is an ad network. (Privacy Policy)
    Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
    Index ExchangeThis is an ad network. (Privacy Policy)
    SovrnThis is an ad network. (Privacy Policy)
    Facebook AdsThis is an ad network. (Privacy Policy)
    Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
    AppNexusThis is an ad network. (Privacy Policy)
    OpenxThis is an ad network. (Privacy Policy)
    Rubicon ProjectThis is an ad network. (Privacy Policy)
    TripleLiftThis is an ad network. (Privacy Policy)
    Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
    Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
    Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
    Statistics
    Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
    ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
    Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)