maths

Question 1

how to work out the nth term

Answer 1

a+(n-1)d
a=start number, n=whatever the term is, d=the difference

Question 2

what are the prime numbers

Answer 2

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (1 is not a prime number)

Question 3

what is sin(0)

Answer 3

0

Question 4

what is cos(0)

Answer 4

1

Question 5

what is tan(0)

Answer 5

0

Question 6

what is sin(30)

Answer 6

1/2

Question 7

what is cos(30)

Answer 7

√3/2

Question 8

what is tan(30)

Answer 8

1/√3

Question 9

what is sin(45)

Answer 9

1/√2

Question 10

what is cos(45)

Answer 10

1/√2

Question 11

what is tan(45)

Answer 11

1

Question 12

what is sin(60)

Answer 12

√3/2

Question 13

what is cos(60)

Answer 13

1/2

Question 14

what is tan(60)

Answer 14

√3

Question 15

what is sin(90)

Answer 15

1

Question 16

what is cos(90)

Answer 16

0

Question 17

what is tan(90)

Answer 17

undefined

Question 18

7×8

Answer 18

56

Question 19

6×7

Answer 19

42

Question 20

3×8

Answer 20

24

Question 21

how to work out LCM

Answer 21

State the product of prime factors of each number, not in index form.
Write all the prime factors into the Venn diagram for each number.
Multiply each prime factor in the Venn diagram to find the LCM.

Question 22

how to work out HCF

Answer 22

It is found by multiplying the common prime factors of the given numbers.

Question 23

1/6 as a decimal

Answer 23

0.17

Question 24

1/7 as a decimal

Answer 24

0.14

Question 25

1/8 as a decimal

Answer 25

0.125

Question 26

1/9 as a decimal

Answer 26

0.111111...

Question 27

how to speed up multiplying big numbers

Answer 27

put into standard form and/or estimate

Question 28

how to find where inverse and original functions meet

Answer 28

they are reflected on y=x so set to =x instead of the whole function

Question 29

how to estimate when adding or subtracting

Answer 29

round one number up and the other one down

Question 30

how to estimate for multiplication

Answer 30

e.g: 78 × 34= 80 × 32 =2560 if we round the larger number up it will be an overestimate and vice versa

Question 31

how to get from factions to ratios

Answer 31

make it all the same base

Question 32

sum of exterior angles in a regular polygon

Answer 32

360 degrees

Question 33

what does bisects mean

Answer 33

cut exactly into two equal pieces

Question 34

what does segment mean

Answer 34

the shapes either side of a chord

Question 35

what does a letter followed by a dash (') mean

Answer 35

used to denote a shape that has been translated

Question 36

what does a scale factor of -1 mean?

Answer 36

that's the same as rotating the shape 180˚.

Question 37

what does a negative scale factor mean

Answer 37

the shape will 'pop out' the other side of the enlargment centre.

Question 38

equation for volume of a sphere

Answer 38

V=4/3πr^3

Question 39

equation for the surface area of a sphere

Answer 39

A=4πr^2

Question 40

what is the class interval

Answer 40

the range of the bar in a histogram

Question 41

histogram rules

Answer 41

For grouped data, on the y-axis we plot frequency density, which is given by the frequency divded by the class width. This means that the total frequency for any class is given by the area of the histogram bar representing.

Question 42

formula for the surface area of a cylinder

Answer 42

2πr(r+h)