1A) Given the data set -44, 31,

25, 16, 73, 25, 63, 10, 23, 11, 73, 21.

X Frequency

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