Maths

Question 1

How to multiply and divide fractions

Answer 1

1. Make mixed fractions vulgar
2. Simplify by dividing common numbers
3. Multiply numerators together & denominators together.

Question 2

How to add and subtract fractions together

Answer 2

Make the denominators the same

Add the whole numbers (if mixed fractions) and add the numerators.

Question 3

Indices

a^m x a^n =

Answer 3

a^(m+n)

Question 4

Indices: zero, negative and fractional

Answer 4

a^0 = 1
a^-n=1/a^n
a^m/n = sqrt n of a^m

Question 5

Gradient of a line

Answer 5

Vertical height/ horizontal distance

Question 6

Gradient formula

Answer 6

Mab = (y2 - y1) / (x2-x1)

Question 7

What gradient does a horizontal line have?

Answer 7

m = 0

Question 8

What is the equation of straight line?

Answer 8

y = mx + c where mx = gradient and c is where line crosses the y axis

Question 9

The general equation of any straight line

Answer 9

Ax + By + C = 0

Question 10

Factorising: what to remember?

Answer 10

Look for the highest common factor and any common letters

Question 11

Difference of Two Squares (DOTS)

Answer 11

When a square term is subtracted from another square term i.e. x^2 - y^2

Question 12

How to factorise a quadratic function

x^2 +3x +2

Answer 12

= (x + 1)(x+2)

remember to check answer by expanding

Question 13

What is the three stages of factorising fully

Answer 13

1. take out any common factors
2. Check for difference of two squares
3. Factorise any remaining quadratics

Question 14

Parallel lines have the same what?

Answer 14

Gradient

Question 15

What does colinear mean?

Answer 15

Lines with the same gradient and a common point used i.e. on the same line

Question 16

What are congruent shapes

Answer 16

Shapes that have the same area, size, angles and lengths as each other

Question 17

Similar figures:

Shapes are similar when…..

Answer 17

1) corresponding angles are equal

2) corresponding sides in the same ratio (the ratio is known as the scale factor)

Question 18

Scale factor for enlargement

Answer 18

Greater than 1

Question 19

Scale factor for reduction

Answer 19

less than 1

Question 20

Areas Scale factor =

Answer 20

Linear scale factor squared

ASF = SF^2

Question 21

Volume scale factor

Answer 21

= linear scale factor cubed

Question 22

The length of an arc

Answer 22

Arc = angle/360 x (pi x d)
i.e. pi x d = 2 pi x r = circumference of a circle. Angle /360 is working out the ratio in relation to the whole circumference of the circle.

Question 23

Area of a sector

Answer 23

(x degrees/360 degrees) X pi r^2

Question 24

How to calculate the angle of an arc?

Answer 24

angle = arc/circumference X 360 degrees

you’re just working out the ratio of the arc to whole circumference of circle and multiplying by 360 degrees.

Question 25

Finding the angle of a sector

Answer 25

angle = area of sector/area of circle * 360 degrees

Question 26

What are the three ratios of a right angled triangle?

Answer 26

Soh Cah Toa

Question 27

What is a tangent?

Answer 27

A line that touches the edge of a circle, thus creating a right angled triangle with the radius to the centre of the circle.

Question 28

Reversing the percentage change

Answer 28

1. First find percentage which they have 2. Find 1% 3. Then find 100%

Question 29

Vectors: what are they?

Answer 29

They are quantities that have both direction and magnitude (length)

Question 30

What are equivalent vectors?

Answer 30

Lines that have the same direction and magnitude

Question 31

Volume of a sphere

Answer 31

= 4/3 pi x r cubed

Question 32

Volume of a pyramid

Answer 32

= 1/3 A x h

Question 33

Volume of a cone

Answer 33

= 1/3 pi x r^2 x h

Question 34

Area of a non right angled triangle

Answer 34

= 1/2 a x b sinC