Maths

Question 1

Rule of indices-multiplying

Answer 1

You add the indices together when multiplying

Question 2

Rule of Indices-division

Answer 2

You take away the 2nd indice from the first indice when it is a division question

Question 3

Rule of Indices-Indices in bracket that is being used to the power of

Answer 3

When a question has a number to the power of something that is in brackets and that is to the power of something, you multiply it

Question 4

Power of 0

Answer 4

It is 1 ALWAYS

Question 5

Variable

Answer 5

The letter in an algebra question

Question 6

Coefficient

Answer 6

The number next to a letter in an algebra question

Question 7

Multiple variable key thing to remember

Answer 7

Keep the letters to themselves so all the A s go together and all the B s go together

Question 8

Multiplying out bracket steps

Answer 8

Do number outside the bracket times first number and then do that for the second number. If there is another set of brackets do that. Then if there is that other set, add all the terms that are the same

Question 9

Multiplying 2 brackets

Answer 9

Split the first bracket into the first number times by the 2nd bracket then do the 2nd number times the first bracket. Then do the multiplying out brackets step.

Question 10

Squaring brackets

Answer 10

2 ways.
Way one, rewrite the equation into 2 equations next to each other, then do the steps for Multiplying out 2 brackets
Way 2, do the first number squared, do the second number squared, have a third number that is the 2 numbers multiplied together times by 2.

Question 11

Making equations

Answer 11

Step 0, state you variable. Do the equation strictly. Then work out the equation

Question 12

Solving equations

Answer 12

Write out the equation. 1st move the number to the otherside by inversing it. If needed, move the algebra number to the otherside by inversing it. Try to do these using the smallest number moved to the otherside. Then the number by the algebra number

Question 13

Volume compound shapes

Answer 13

Equation V=AxL Volume= Area x Length or V=HxWxL Volume = height x width x length. Do the face and then times it by the length. When it is a compound shape, split it into simple shapes and do it as many times as needed.

Question 14

Bivariate data

Answer 14

2 variables per item (figuring out the height and weight for a person)

Question 15

Positive correlation

Answer 15

Going from bottom left to top right

Question 16

Negative correlation

Answer 16

Going from top left to bottom right

Question 17

No correlation

Answer 17

No correlation just random or no clear correlation but random.

Question 18

Line of best fits

Answer 18

Make a box of where a rule fits such as in Hooke’s law it is before the elastic limit, then you can make a prediction using the line. It should have equal parts on the left and equal parts on the right.

Question 19

3 figure bearings

Answer 19

You go from north.
Always 3 figures so include a 0
It is measured clockwise
It is the angle

Question 20

Percentage

Answer 20

Percentages are a fraction with a denominator of 100.

Question 21

Using percentage multipliers

Answer 21

To find a percentage say 13% of 20 you do 0.13 x 20
To increase 20 by 13% you do 1.13 x 20
To decrease 20 by 13% you do 0.87 x 20

Question 22

Percentage change

Answer 22

To figure out the percentage change you effectively do the number that you are told is the result on top and the other number is the number on the bottom of the fraction. then if it is less than 1 take it away from 1 but if it is higher than one take 1 away from it to find the percentage change

Question 23

Compound interest formula/depreciation formula

Answer 23

initial amount x percentage multiplier to the power of time/years

Question 24

Simple interest formula

Answer 24

Initial amount x percentage multiplier x time

Question 25

Straight line formula on a graph

Answer 25

Y = Mx + C

Question 26

Gradient

Answer 26

The gradient is change in Y over change in X

Question 27

How to find the equation of a line through 2 given points

Answer 27

1. figure out the gradient. That will be the change in y over the change in x. Then carry on the graph using that gradient to figure out where it hits the y line/the y intercept.

Question 28

Probability

Answer 28

Every possibility has an equal chance of happening considering it happens or doesn't. Probability tells us how often it occurs

Question 29

Pythagoras's theorem

Answer 29

Proved by Pythagoras. It was the theory that using a right angled triangle, the diagonal line squared would equal the 2 others squared added together making A^2 + B^2 = C^2

Question 30

Multiplying with fractions

Answer 30

Numerators timesed together and denominators timesed together. Convert mixed numbers to top heavy fractions if needed

Question 31

Dividing by fractions

Answer 31

Do the first number as a top heavy fraction, then flip the second fraction so it is the beginning numerators timesed by the denominators.

Question 32

Negative indices

Answer 32

Indices that are negative are affectively 1 over that number times the non negative version of the indicie

Question 33

Index equations

Answer 33

Figure out a way to convert one if not 2 to a common base then work it out like any other indice question

Question 34

Factorising

Answer 34

Find a common factor or common factors. Then place them on the outside of the brackets whilst dividing the other numbers by the factors and putting them inside the brackets

Question 35

Substitution with fractions

Answer 35

Given the stuff, write out the equations such as 2 x 2 + 3b = 7. then simplify it so 4 + 3b = 7 then make algebra number the subject 3b = 7 - 4 3b = 3 then divide by the coefficient b = 3/3 b = 1

Question 36

Ratios

Answer 36

Basically fractions. Add the 2 divide by that and times by amount shown.

Question 37

Standard form

Answer 37

e.g 1.23 x 10^4 = 12300 Makes the number easier to read You can also have small ones such as 0.00032 = 3.2 / 10^4

Question 38

Sample space

Answer 38

e.g for 2 dice. write down 1 to 6 going up and going down, then write down the totals of each. That is a sample space and will give you 36 possibilities

Question 39

Inequalities

Answer 39

Work it out like an equation but don't have an equals

Question 40

Inequalities using a number line

Answer 40

If it is a bigger or greater than use an unfilled for but if it is a equal to or bigger or greater than use a filled dot. Otherwise plot it like normal but anywhere that overlaps only draw there.

Question 41

Simultaneous equations

Answer 41

Make one algebra number have the same power in both by multiplying one or both of the equations. Then if they are a positive and a negative, add the other parts together, otherwise take it away. Then solve that part and using that part solve the other part

Question 42

Area of 2d shapes

Answer 42

Square= side^2 Rectangle= Base x height Parallelogram = (top length + bottom length)/2 x height

Question 43

Group frequency charts

Answer 43

A table with for example 50-59 then 60-69. The borders are 59.5 is the first group.

Question 44

Mean of grouped frequency charts

Answer 44

Find the mid point value, so in 50-59 it is 54.5, then times it by the frequency. Continue this with all results, then add up frequency then it is all results over frequency amount

Question 45

Estimate of median

Answer 45

Use cumulative frequency. All the previous frequencies added together then find the one in the middle and that is your estimate of median.