GCSE Edexcel Prep: Maths

Question 1

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

Answer 1

y=mx+c

Question 2

Define Factorising

Answer 2

The opposite of Expanding. Factorising extracts common factor. E.g. 2x²-14x…
=2x(x-7)

Question 3

Define Expanding

Answer 3

Time-sing the number outside brackets by inside terms
E.g. 4(3x+2)
=12x+8

Question 4

How would you simplify an algebraic expression?

Answer 4

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

Question 5

What are corresponding angles?

Answer 5

F angles

Question 6

What are alternate angles?

Answer 6

Z angles

Question 7

What are Supplementary & Complementary Angles?

Answer 7

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

Complementary Angles: either of two angles whose sum is 90

Question 8

How would you find a parallel line of Equation?

Answer 8

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

Question 9

How would you find a perpendicular line of Equation

Answer 9

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.

Question 10

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

Answer 10

Cube: Cuboid:
Volume= s³ Volume= ldh (lengthxdepthxheight)
Surface Area= 6s² Surface Area= 2(ld+lh+dh)

Question 11

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

Answer 11

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

Surface Area= Sum of area of all of its faces

Question 12

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

Answer 12

Volume= πr²h

Surface Area= 2πrh+ 2πr²

Question 13

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

Answer 13

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

Surface Area= sum of area of all of its faces

Question 14

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

Answer 14

Volume= 1/3 x πr² x perpendicular height

Surface Area= πrl (l is the slant height)

Question 15

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

Answer 15

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

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

Question 16

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

Answer 16

Volume= 4/3πr³

Surface Area= 4πr²

Question 17

What is the sum of exterior angles?

Answer 17

360⁰

Question 18

Each Exterior Angle?

Answer 18

360⁰/no.of sides

Question 19

a + 5 = −5a + 5

Whats a?

Answer 19

0

Question 20

5p − 14 = 8 p + 4

Whats p?

Answer 20

-6

Question 21

−3(4x + 3) + 4(6x + 1) = 43

Whats x?

Answer 21

4

Question 22

t= 6m+7

Make m the subject

Answer 22

-7… t-7= 6m

/6… t-7/6= m