A-Level Maths · A-Level Further Maths

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A-Level Maths and A-Level Further Maths. Free videos, exam questions and AI-tutor practice for every topic.

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MathsA Level · Edexcel
Integration by parts
Next up: integration by substitution

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dy/dx = 20x³ − 72x² + 84x − 32
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Why do I divide by 5 here?
There are five values – the mean shares the total equally.

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A-level maths / further maths: for first teaching from September 2017

A-level maths is normally studied after doing GCSE maths in UK schools and colleges and is a 2 year course, unlike AS maths which is a 1 year course.

As part of the course, candidates will study pure Maths along with statistics and mechanics. See your board for further explanation.

The A-level course is assessed at the end of the 2 year period in May/June of that year.

Old Specification: Last exams in May/June 2019

Legacy reference – tap to expand

A-level maths is generally regarded as a two year course which is broken up into various modules. The common modules are Core Maths, Mechanics, Statistics and Decision Maths.

During the first year of study most students do 3 modules which leads to an advanced supplementary award (AS) taking two compulsory modules in Core Maths (C1, C2) and one more in Statistics (S1) or Mechanics (M1) or Decision Maths (D1).

After completing the 3 modules at AS level students may decide to continue their studies and take another 3 modules leading to an A-level award (A2) in maths.

Common combinations of the 6 modules required for A-level maths (A2 maths) are the four Core Maths modules (C1, C2, C3 and C4) with the remaining two being taken from Mechanics, Statistics or Decision Maths.

For example, someone wanting mainly Statistics may opt forCore Maths (modules C1, C2, C3, C4) + Statistics (modules S1, S2)

For someone wanting mainly Mechanics may opt forCore Maths (modules C1, C2, C3, C4) + Mechanics (modules M1, M2)

It is not uncommon to see the following combinations of 6 modules being taken.Core Maths (modules C1, C2, C3, C4) + Statistics (module S1) + Mechanics (module M1)orCore Maths (modules C1, C2, C3, C4) + Statistics (modules S1) + Decision Maths (module D1)

Core Maths

Core Maths Is generally regarded as the main tool of mathematics looking at using algebraic methods, solving equations, graphs of functions, series, differentiation and integration methods.

Mechanics

Works well for anyone thinking of doing physics or engineering. Typical kinds of problems that you will look at are:

  • What height will a ball reach if thrown upwards with a given speed?
  • What force is required to stop an object sliding down a slope?
  • When two objects collide, what speed do they go after the collision?

Statistics

Statistics looks at data that is collected from surveys and models the data to fit various mathematical models to help answer questions such as

  • What are the chances of an accident occurring on a certain stretch of road?
  • Is there a difference between using drug A or drug B to cure a disease?
  • This is a good module to choose if you are going into any of the sciences.

Decision Maths

Decision Mathematics is used to solve many real life, practical problems. Here are some examples of areas in which Decision Mathematics can be used:

  • What is the best route for a gritting lorry to follow so that it covers every road in a town but keeping the distance travelled to a minimum?
  • What is the minimum quantity of cable needed to link a network of computers together?
  • What is the best way to organise people’s resources in the building of a house?

The main examination boards are Edexcel, OCR and AQA.

On this site you will find plenty of video tutorials and video worked solutions to exam questions which hopefully will give you the confidence and support you need to tackle your maths A-level.

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