AQA GCSE Maths Paper 1 Higher Tier

BIDMAS

Brackets, Indices, Division, Multiplication, Addition Subtraction

Integer

A whole number

Factors of a number

Numbers that divide into it

Prime number

Only divides by itself and one

What does LCM stand for?

Lowest Common Multiple

What is LCM?

The smallest number that can divide by all the numbers in the question

What does HCF stand for?

Highest Common Factor

What is HCF?

The biggest number that can divide into all the numbers in the question

To simplify a fraction you?

Divide the top and bottom of the fraction by the same number

A mixed number fraction is also called an?

Improper fraction

To multiply a fraction you?

Multiply across all the fractions

To divide a fraction you?

Turn the second fraction upside down and then multiple across

When adding and subtracting fractions you need to make sure they have....

Same denominator

How to find a fraction of something?

Divide the number by the bottom and then multiply by the top

The first significant number is?

The first digit of a number that isn't a zero

Upper and lower bounds

When a measurement is rounded to a given unit, the actual measurement can be anything up to half a unit bigger or smaller

To find the minimum bound you...

Multiple both the smallest bounds

To find the maximum bound you...

Multiple both the biggest bounds

A number in standard form should be written in the form of?

A x (10)n

The first number in standard form should always be between?

1 and 10

If mixed numbers are negative then...

Pairs are positive

When multiplying powers you...

Add the powers

When dividing powers you...

Subtract the powers

The power of 0 always equals...

1

1 to the power of anything still equals...

1

Anything to the power of 1 is...

Itself

For negative powers you need to...

Flip it upside down (reciprocal)

The power of 1/2 means...

Square root

The power of 1/3 means...

Cube root

The power of 1/4 means...

Fourth root

The difference of two squares is...

One thing squared take away another thing squared

Surds are

Expressions with irrational square roots that can't be written as fractions

How to solve an equation

Rearrange the equation so that all the x's are on one side

When fractions are in an equation make sure you...

Get rid of the fractions before doing anything else

The standard format for being able to solve a quadratic is?

(x)2 + b(x) + c = 0

To find two brackets (factorise) for solving a quadratic you need to...

Find two numbers that add/subtract to get b and multiple to get c

Quadratic formula is?

x = -b +or- the square root of b squared - 4ac divided by 2a

How many solutions do you end up with for a quadratic?

2

One other method of solving quadratics is?

Completing the square

< means

Less than

> means

Greater than

When you multiple or divide by a negative number in inequalities you...

Flip the inequality sign

An open circle on a number line means....

> or <

A coloured in circle on a number line means...

Less than or equal to or greater than or equal to

Iteration is..

Repeating a calculation in order to get closer approximations to the solution you want