1A) 23, 11, 73, 21 x F

1A) Given the data set -44, 31,
25, 16, 73, 25, 63, 10, 23, 11, 73, 21.

                   X                     Frequency

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              10                  1

              11                  1

              16                  1

              21                  1

              23                  1

              25                  2

              31                  1

              44                  1

              63                  1

              73                  3

              415               12

X= 10, 11, 16, 21, 23, 25, 25,
31, 44, 63, 73,

 

Mean= 415

 

 

34.583

 

 

        12 415

             -360

                55

               -48

                  70

                 -60

                  100

                  -96

                      40

                     -36

                        4

Mean= 34.6

 

1B)

Given the data set.

44,31,25,16,73,25,63,10,23,11,73

 -Determine the Median.

Median-middle

Median=
10,11,16,21,23,25,25,31,44,63,73,73,

=  25 + 25       
25                              

                       + 25                                      50     
25

                          50                                       2         1

Median= 25

 

1C)

Given the dataset.

44, 31, 25, 16, 73, 25, 63,
10, 23, 11, 73, 21

Mode= 25 and 73.

 

1D)

Given the dataset.

44, 31, 25, 16, 73, 25, 63,
10, 23, 11, 73, 21

x     F

10  1

11  1

16  1

23  1

25   2

31   1

44   1

63   1

73   2

EF = 12

2A)

 

Red     Red     
Red      Red     Red    
Red    

 

Brown brown brown  green 
green  Red 

 

Red- 7: 12

Green- 2:12

Brown- 3:12

 

2B)

Red 7/12 + 2/12= 9/12

 

2C)

Add up the fraction in your solution
above and represent the answer.

 9    3

 

 

3A) A price of a loaf of bread
is to be increased by 10%. The current price of Hovis Medium White Bread is
£1.50, what will be the increased price?

  = Discount price= £1.50

= £0.15p

 

Original Price= £1.50 + £0.15p
=

  1.50

+0.15

 1.65

Step One. If  the loaf of bread is £1.50, 10% increase= 150
%  = 0.15

                   10

Original price 1.50 + 0.15=
£1.65

4) Ford Cars are to be
decreased by 20%. Ford Focus currently costs £12,500. What will be the new
price following the reduction?

         2500

 

Cost = 12500

1        

5

 

20/100 x          12500

 

=2500

New Price= 12,500 – 2,500

=10,000

 

5) A train journey between
London and Birmingham takes 2.5 hours in duration and Edinburg to London takes
4.3 hours.

By how much further is London
from Edinburg than Birmingham in % ? Show Working.

 

London to Birmingham 2.5
hours.

Edinburg to London 4.3 hours.

 4. 3       
1.8   x    100

-2.5         4.3           1

 1.8          

             = 0.4186 x 100= 41.86%

= 42%

 

6)

What is the probability that a
die, tossed twice would yield an odd number?

        Explain the progress.

1st   Dice- 1-6. 1,2,3,4,5,6

           Odd numbers, 1,3,5

The probability is 3

3/6 is equivalent to ½ 

 

2nd 

The probability for the second
dice can be 1,3,5

The probability is 3/6

3/6 x 3/6 = 9/36=
1/4     

 

7) Lucy just brought a pizza
and intends to share it, if the pizza is sliced in six parts, what proportion
in percent would Lucy have given out, if she gave two slices to her friends?
Show working

1

 

6 parts of pizza

3

 

2 slices given out = 2/6
 x 100/1
=  1/3 x 100/1

 

 

3   100

 

  

      -99

          10

         –  9

            1  = 33.3

 

 

 

 

 

8)  A student
oyster card in the transport for London (TFL) underground trains cost 1/3
of the

standard weekly fare, between each zone.

Declan, is a student living in GoodMayes zone 4,

and travels to school and his part time work in and
around zone 1. How much would he be paying and saving if the weekly oyster card
cost £45.45p between zones 1 and 4? Show working.

 

Declan oyster card cost £45.45

Declan oyster cost between zone 1 and 4 = 1/3
of 45.45  

15.15

 

 

1

 

1

 

1/3   x  45.45

 

= £15.15

 

9) Calculate £4,500 invested in a bank account for
five years’ compound interest payable in June and December (bi-annual)every
year at 4%.

 

Compound Interest

= pv x (1+ r/n) t x n

Pv=£4,500

R=4% = 4/100 = 0.04

t= 5 (years)

n= 2 (payment made)

         (two
times a year)

         (June
and December)

Comp. Interest= £4,500 x (1 + 0.04/2)
5 x 2

= £4,500 x (1.02)10

= £4,500 x 1.218994

Comp.Interest at the end of 5 years

= £5,485.474 = £5,485.50

 

10) Calculate £4,500 for 3 years at 4% using simple interests.
What is the amount obtained at the end of 3 years?

Simple Interest

= P x T x R

      100

P= £4,500

T= 3 (years)

R= 4%

S.I= 4,500 x 3
x 4

               100

 

S.I= £540

Amount
obtained at the end of 3 years = £4,500 + £540 + £5,040

x

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