 ## The ENGAA Section 1A tests your Maths and Physics knowledge.

You have 28 multiple choice questions to answer in this section. There is a total of 80 minutes for all of Section 1, but this also includes Section 1B which tests Advanced Maths and Physics. This means the section is very time bound.

### “If you had all day to do your ENGAA, you would get 100%. But you don’t.”

Whilst this isn’t completely true, it illustrates a very important point. Once you’ve practiced and know how to answer the questions, the clock is your biggest enemy. This seemingly obvious statement has one very important consequence. The way to improve your ENGAA score is to improve your speed.

### The Maths knowledge required

You are highly advised to go through the ENGAA Specification and ensure that you have covered all examinable topics. Make sure you take some time to revise these topics before carrying on – there is little to be gained by attempting these questions with huge gaps in your knowledge. A summary of the major topics is given below:

#### Algebra

• Laws of Indices
• Manipulation of Surds
• Quadratic Functions: Graphs, use of discriminant, completing the square
• Solving Simultaneous Equations via Substitution
• Solving Linear and Quadratic Inequalities
• Manipulation of polynomials e.g. expanding brackets, factorising
• Use of Factor Theorem + Remainder Theorem

#### Graphing Functions

• Sketching of common functions including lines, quadratics, cubics, trigonometric functions,
logarithmic functions and exponential functions
• Manipulation of functions using simple transformations
• Graph of series y=ax

#### Differentiation

• First order and second order derivatives
• Familiarity with notation
• Differentiation of functions like y=xn

#### Integration

• Definite and indefinite integrals for y=xn
• Solving Differential Equations in the form: dy/dx=f(x)
• Understanding of the Fundamental Theorem of Calculus and its application

#### Logic Arguments

• Terminology: True, flase, and, or not, necessary, sufficient, for all, for some, there exists.
• Arguments in the format:
o If A then B
o A if B
o A only if B
o A if and only if B

#### Geometry

• Equations for a circle
• Equations for a straight line
• Circle Properties

#### Series

• Arithmetic series and Geometric Series
• Summing to a finite and infinite geometric series
• Binomial Expansions
• Factorials

#### Trignometry

• Solution of trigonometric identities
• Values of sin, cost, tan for 0, 30, 45, 60 and 90 degrees
• Sine, Cosine, Tangent graphs, symmetries, perioditicties

#### Here’s an example maths question, with the answer available by clicking here(or scrolling down). ### The Physics knowledge required

Similar to the maths knowledge, you are best of knowing everything on this list before doing practice papers or questions. These topics are almost guaranteed to come up so you will gain more marks by learning them rather than just doing practice questions. #### TOP TIP FOR PHYSICS

Knowing SI units is extremely useful because they allow you to ‘work out’ equations if you ever forget them e.g. The units for density are kg/m3. Since Kg is the SI unit for mass, and m3 is represented by volume –the equation for density must be = Mass/Volume.

This can also work the other way, for example we know that the unit for Pressure is Pascal (Pa). But based on the fact that Pressure = Force/Area, a Pascal must be equivalent to N/m2.
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