maths

Question 1

how do you divide fractions

Answer 1

remember KFC (keep the first fraction, flip the second fraction and change the divide to multiply

Question 2

how do you find lcm or least common multiple

Answer 2

list all prime numbers that appear as a multiple of both numbers, if a number appears more than once, list it tat many times. multiply all of these numbers together.v(or all factors in the venn diagram.

Question 3

how do you find the HCF or highest common factor

Answer 3

multiply all prime numbers that appear in both numbers and multiply these together. or multiply the middle of the venn diagram

Question 4

how do you find the fraction of something?

Answer 4

multiply the number you want by the numerator and divide by the denominator

Question 5

how do you multiply and divide in standard form?

Answer 5

rearrange the front numbers into a bracket and the powers of ten in a separate bracket. after this ensure the number is still in standard form

Question 6

how to add and subtract in standard form

Answer 6

ensure the powers if ten are the same, the number can go out if valid standard form. add or subtract front numbers. convert number into valid standard form.

Question 7

4.56x10^-3 is an ordinary number

Answer 7

5560

Question 8

what happens when a bracket is squared

Answer 8

everything in the bracket is squared

Question 9

what would -3^2 simplify to

Answer 9

9 or -9

Question 10

what happens when you multiply powers

Answer 10

add them

Question 11

what happens when you divide powers

Answer 11

subtract them

Question 12

what happens when you raise one power to another

Answer 12

multiply them e.g. (3^2)^4 = 3^8

Question 13

what happens when you multiply something by the power of 1

Answer 13

it is itself. x^1 = x

Question 14

what is anything to the power of 0

Answer 14

1

Question 15

what is one to the power of anything

Answer 15

1

Question 16

what happens when a fraction in a bracket is multiplied by a power

Answer 16

the top and bottom are both multiplied

Question 17

what do you do with a negative power

Answer 17

you turn it upside down. e.g 7^-3 = 1/7^2

Question 18

what are fractional powers

Answer 18

roots e.g power of one half is square root

Question 19

two stage fractional powers

Answer 19

split the fraction into a root then a power. root first then power page 17

Question 20

how do you factorise

Answer 20

find the common factor and divide both numbers by it

Question 21

what is the difference of two squares

Answer 21

a²-b² = (a+b)(a+b)

Question 22

how do you multiply surds

Answer 22

put the two numbers into a big root. multiply both numbers inside the root

Question 23

what happens when theres a fraction and the top and bottom are both rooted

Answer 23

the entire fraction is rooted

Question 24

what do you do when adding surds

Answer 24

do nothing. DO NOT USE MULTIPLICATION MEATHOD

Question 25

what is (a+rootb)²

Answer 25

a² + 2arootb+b

Question 26

what happens when expanding double brackets with surds in

Answer 26

page 20 because idek

Question 27

what are the steps of rearranging formulas

Answer 27

1. remove any square roots by squaring both sides 2. get rid of any fractions 3. multiply out brackets 4. put all terms you want on one side and the terms you dont want on the others. 5. combine like terms and possibly factorise 6.divide any Ax= by A on both sides to get x= 7. if left with x² then square root

Question 28

whats the standard format for a quadratic

Answer 28

ax² +bx+c=0

Question 29

how do you factorise when A=1

Answer 29

1. ALWAYS arrange into standard format 2. write down 2 braclets with x in 3. find two numbers that multiply to get the end number and add/subtract to get the coefficient of x. 4.fill in the +/- signs and check they work 5.expand to check 6. solve the equasion by setting each bracket equal to 0. only if the wuestion says solve

Question 30

when A is not = 1 3x² +7x-6=0

Answer 30

1. rearrange into standard format 2. write down the two brackets but have 3x in one bracket 3.find the two numbers that multiply to get the 6 (ignore the minus sign) try number pairs you just found untill you find one that makes 7x. each pair must be tried in 2 positions because on 3x 4.fill in +/- signs 5. check

Question 31

quadratic formula

Answer 31

quite right

Question 32

completing the square

Answer 32

rearrange into standard format write out initial bracket multiply out bracket and compare to original to find if you need to + or - a number to complete the square add or subtract the number to make it match the original.

Question 33

what is completing the square

Answer 33

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.

Question 33

how do you find frequency density

Answer 33

Frequency Density= Class Width / Frequency ​