Flashcards in GCSE Edexcel Prep: Maths Deck (22)

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1

## Any straight line on a graph can be written in the form of...

### y=mx+c

2

## Define Factorising

###
The opposite of Expanding. Factorising extracts common factor. E.g. 2x²-14x...

=2x(x-7)

3

## Define Expanding

###
Time-sing the number outside brackets by inside terms

E.g. 4(3x+2)

=12x+8

4

## How would you simplify an algebraic expression?

### You would find common factors within the terms and simplify it to its simplest form

5

## What are corresponding angles?

### F angles

6

## What are alternate angles?

### Z angles

7

## What are Supplementary & Complementary Angles?

###
Supplementary Angles: either of two angles whose sum is 180°

Complementary Angles: either of two angles whose sum is 90

8

## How would you find a parallel line of Equation?

###
1. A parallel line of Equation would have the same gradient as the line, i.e. y=3x+c, the parallel line would again be y=3x, but with a different gradient.

2. You have to sub in the given coordinate. For example, (2,4)- x=2, y=4. Then you solve it. 4=(3X2=6)-c.

C=2... Ans= y=3x-2

9

## How would you find a perpendicular line of Equation

###
1. First you find the gradient

2. Then you do the negative reciprocal of the gradient. (E.G. 2x= -1/2x)

3. You then, find the midpoint of the given coordinates.

4. Then you substitute them in and find your perpendicular line of Equation.

10

## What is the formula for the volume & surface area of a cube & cuboid?

###
Cube: Cuboid:

Volume= s³ Volume= ldh (lengthxdepthxheight)

Surface Area= 6s² Surface Area= 2(ld+lh+dh)

11

## What is the formula for any prism volume and surface area?

###
Volume= area of its cross section x length( or height)

Surface Area= Sum of area of all of its faces

12

## What's the formula for a cylinder? Volume & Surface Area?

###
Volume= πr²h

Surface Area= 2πrh+ 2πr²

13

## What is the formula of volume & surface area of a pyramid?

###
Volume= 1/3 x area of base x perpendicular height

Surface Area= sum of area of all of its faces

14

## What is the formula of volume & surface area of a cone?

###
Volume= 1/3 x πr² x perpendicular height

Surface Area= πrl (l is the slant height)

15

## What is the formula of volume & surface area of a frustum of a cone?

###
Volume= 1/3πR²H - 1/3πr²h (whole cone- removed cone)

Surface Area= πRL - πrl (surface area of whole cone-surface area of removed cone)

16

## What is the formula of volume & surface area of a Sphere?

###
Volume= 4/3πr³

Surface Area= 4πr²

17

## What is the sum of exterior angles?

### 360⁰

18

## Each Exterior Angle?

### 360⁰/no.of sides

19

##
a + 5 = −5a + 5

Whats a?

### 0

20

##
5p − 14 = 8 p + 4

Whats p?

### -6

21

##
−3(4x + 3) + 4(6x + 1) = 43

Whats x?

### 4

22