Maths non calculator

Question 1

Kevin is y years old his sister is 11 and his brother is twice his age all 3 siblings have a total age of 26,wite an equation to find kevins age

Answer 1

y+11+2y=26
3y+11=26 -11
3y=15 /3
y=5

Question 2

xn+1=3sq root 60-2x to the power of 2 over n use this formula to work out an aproximate value of x starting with x1=3

Answer 2

x1=3=ans
replace xn with ans
3sq root(60-2 X ans sq)=19.4
x2=19.4422

Question 3

Does a cumaltitive frequency graph plot a midpoint

Answer 3

no only frequency polygons do

Question 4

How do you find the coefficinet of 2 sq

Answer 4

second difference /2

Question 5

complete the nth term for this sequence
1 2 3 4 5
5 12 21 32 45

Answer 5

For equation
+7,+9 second difference =+2
then subtract n2(2) from the sequence
5-1=4
12-4=8 difference is +4=
4n

Question 6

A purple square is in the middle of 4 shapes the measurments around it are 8cm and 3cm work out the area of the purple square

Answer 6

3 + w=8 -3
w=5
5 x 5=25

Question 6

what is the equation for the area of a square

Answer 6

width x width

Question 6

factorise f sq+4f+3

Answer 6

(f+1)(f+3)

Question 6

what is the equation to find the area of one square

Answer 6

length sq

Question 7

what is the percentage change from 7905 to 8331.87

Answer 7

8331.87-7905=426.87
426.87/7905=0.054 x 100
=5.4

Question 7

Ruby and thomas played 80 games of rock paper scissors Ruby won 35% of the games and thomas won 20% how many did they draw

Answer 7

80 x 0.35=28
80 x 0.2=16
28+16=44
80-44=36

Question 7

Vinnie invests 2800 in two accounts for 11 years how much will he make out of account a(simple interest at a rate of 8% per year b(compound interest at a rate of 6% per year)

Answer 7

a)0.08 x 2800=244 x 11
2684
b)2800 x 1.06 to the power 11=ans-2800
=2214.37

Question 7

when transforming graphs how do you know if it’s to the whole function or not

Answer 7

if a single number comes after a squaring in an equation than it’s to the whole function

Question 7

What is 0.7% of 13,250

Answer 7

0.7 x100=0.007
0.007 X 13250=92.75

Question 8

what is the answer to q1 in book

Answer 8

10.6

Question 9

y=f(x) is mapped onto 0,-3 from 0,0 write the function for this

Answer 9

y=f(x)-3

Question 10

Expand and simplify (2+ root 3)(8-root 3)

Answer 10

expand brackets
(2 x 8)+ (2 x -root 3)+(root 3 x 8)+(root 3 x -root3)
16+(-2 root 3)+(8 root 3)+(-3)
(16-3)=13
(-2 root 3 +8 root 3)=6 root 3
13+ 6 root 3

Question 11

A student draws a triangle and labels an angle as x,the hypotenuse has a length of 12.4cm and the adjacent has a side length of 9.8cm calculate the size of x

Answer 11

to find an angle use cos-1
we use cos because we only have hyp and adj
cos-1(9.8/12.4)=37.78

Question 12

Blue and yellow paint are mixed in a dye to make a ratio of 8:3 to make 44 litres of a green-coloured dye.A further of 8 litres yellow dye is added to the mixture.What is the new ratio

Answer 12

8:3 x4=44
12+8=20
32:20
find hcf
/4=
8:5

Question 12

Angle d and f sit on a straight line their ratios are
2:3 calculate the size of them

Answer 12

2+3=5
180/5=36
2 x 36=72
3 x 36=108

Question 12

what is the equation for relative frequency

Answer 12

frequency of event/number of trials

Question 12

500 people played a game the relative frequency of winning was 0.34,how many times was the game won

Answer 12

0.34 x 500=170

Question 12

74 is then decreased by 6.3g calculate the upper and lower bound of this

Answer 12

74.5 and 73.5
6.25 an 6.35 for each of them you have to separate the lower bound from the upper bound and vica verca
73.5-6.35=67.15
74.5-6.25=68.25
lower bound=67.15
upper bound=68.25

Question 12

the distance around the edge of a circular swimming pool is 26m,calculate the distance from the edge of the pool to the centre

Answer 12

circumference=26m circumference =2pi r /2pi 26/2 pi=4.1 r=radius

Question 13

Harvey has a ring size circumference of 57.3mm what would his ring size be if it was measured in a dimaeter

Answer 13

circumference=pi d 57.3=pi d /pi 57.3/pi=d =18.2

Question 13

A circle fits exactly within a square the area of the square is 25mm work out the circumference of the circle

Answer 13

diameter=side length of square sq root of 25=5=side length 5 x pi=5pi

Question 13

How do we find the side length of a square

Answer 13

area of a square=side length sq

Question 14

Alex rode a bike making 7 complete rotations the diamtetr of the wheel was 1.7m how far did he ride

Answer 14

pi x 1.7 x 7=37.4

Question 14

kite a and kite b are similar kite a has one length which is 18mm and it's area is 250mm sq kite b area is x and it's area is 10mm sq work out x

Answer 14

10 x k sq=250 /10 25=k sq k=5 X x 5=18 /5 18/5=x x=3.6

Question 15

I think of a number that has 2 decimal places,when i round my number to 1 decimal place i get 16.8 as my answer what is the smallest number I could b thinking of

Answer 15

16.75

Question 16

What is the largest whole number that rounds to 800 when rounded to the nearest 100

Answer 16

849

Question 17

If (x+6):3 is equivalent to 7x:12 then what is the value of x

Answer 17

you have to get both sides of the ratio equal 3 x 4=12 then times other side by 4 and it is equal to the other ratio 4(x+6)=7x 4x+24=7x -7x -3x+24=0 -24 -3x=-24 x=-24/-3 =8

Question 18

what number has the prime decomposition 5 sq x 41

Answer 18

25 x 41=1025

Question 18

Eastwood writes down the prime decomposition of 224 as 2 to the power of a X b find a and b

Answer 18

write a factor tree down and keep on dividing by 2 until you come across a prime number this is your answe 2 to the power of 5(how many times we have divided by 2) X 7(the number left)

Question 18

solve the following inequality r/2+15>45

Answer 18

r/2+15>45 -15 r/2>30 x2 r>60 answer

Question 18

A pair of simeltanous equations are shown 6x+7y=41 and 8x+11y=63 the coeficcinets of x are 6 and 8 find the lcm of this then multiply it into the equation

Answer 18

lcm=24 6x+7y=41 x4 8x+11y=63 x3 this is to get x as 24 24x+28y=164 24x+33y=189 then subtract to find y make sure you have a positive coefficient 5y=25/5 5=y sub y into an original equation to solve x 6x+35=41 -35 6x=6 /6 1=x

Question 18

ABC is a triangle AB=a+5b,AC=9b express CB in terms of ab ab is in an opposite direction

Answer 18

CB=-AB+AC CB=-a+5b+9b collect like terms -a+14b

Question 19

What is -1 3/7(vector)+ 14 1/-2(vector)=

Answer 19

times them -3/-7+14/-28 add top and bottom together 11/-35

Question 19

AB is a straight line where AB=6a-8b M is the midpoint of AB Express AM in the terms of a and b

Answer 19

AM=0.5 AB 0.5AB=3a-4b

Question 19

how do we find the class width

Answer 19

upper end of class-lower end of class

Question 19

how do we find frequecy density

Answer 19

frequency/class width

Question 19

For every orange counter there are 8 green counters.For every 2 green counters there are 3 purple counters.What is the ratio of orange counters to purple counters

Answer 19

1:8 2:3 green counters are common so we find the lcm to get them equal 2:3 x4 8:12 1:12

Question 20

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