Numeracy, Data and IT Study Material

This study material covers various topics related to Numeracy, Data and IT. It includes explanations and examples of proper and improper fractions, equivalent fractions, calculations involving fractions, percentage calculations, and more. The material also provides information on ticket sales, currency calculations, and medal statistics. It is suitable for students studying Numeracy, Data and IT.

Using Numeracy, Data and IT

Table of Contents
1........................................................................................................................................................1
2........................................................................................................................................................1
3. ......................................................................................................................................................1
4. Given that Arianne paid two £50 notes for 2 jackets and got a change of £12.50......................1
5........................................................................................................................................................2
6. Given that Asif and his 2 flatmates paid 60% amount in gym that is £180.................................2
7........................................................................................................................................................2
8. Given that 80 men and 70 women were asked either they had watched the latest ‘Lion King’
movie. 2/5 of the people said Yes. 7/10 of the women said Yes.....................................................2
9. Given that.....................................................................................................................................3
10. Given that...................................................................................................................................3
11......................................................................................................................................................3
12......................................................................................................................................................5

1
(a).Proper fraction:- It is a fraction which is less than one and numerator is less than
denominator.
For example:- ¼ ( 1 is smaller, 4 is larger).
(b). Improper fraction:- A fraction in which numerator is equal to or greater than denominator.
For example:- 7/5 ( 7 is greater, 5 is smaller).
2.
(a). 16/40 in its simplest form is:- 2/5.
(b). 24/42 in its simplest form is:- 4/7.
3.
(a) The fractions ¾, 5/6, 7/9 as equivalent fractions with denominator 36 are as follows:
3/4= 27/36
5/6= 30/36
7/9= 28/36
(b) Given that
Total tickets sold by sporting event:- 1,20,000
Tickets sold at premium price:- 24,000
Tickets sold at standard price:- 62,000
Remaining tickets sold at discounted price let us assume that is 'x'
1,20,000= 24,000+62,000+x
x= 34,000
% of x=(34,000/1,20,000)*100
% of x= 28.33%
Thus % of tickets sold at discounted price is 28.33%.
4. Given that Arianne paid two £50 notes for 2 jackets and got a change of
£12.50.
Total amount paid:- £100-£12.50
=£87.5
price of 1 jacket= £87.5/2

=£43.75
Hence price of each jacket is £43.75
5.
(a) 402.50*15.45 = 6218.62
(b) The number 0.0521 as a power of 10 can be written as:-
=521*10^-5
6. Given that Asif and his 2 flatmates paid 60% amount in gym that is £180
(a) let us assume 'x' be the total amount without discount then
60= (£180/x)*100
x=(£180/60)*100
x=£300
so the total amount without discount is £300
total savings= £300-£180
=£120
(b) average savings made per person:-
= £120/3
=£40
Thus saving of each person is £40
7.
(a) 7/9 + 2/3 – 3/4= 25/36
(b) The smallest of the following numbers 0.1, 0.02, 0.003, 0.0004, 0.00005 is 0.00005
8. Given that 80 men and 70 women were asked either they had watched the
latest ‘Lion King’ movie. 2/5 of the people said Yes. 7/10 of the women said
Yes.
Total people asked= 150
people said yes=( 2/5)*150
=60
women said yes=(7/10)*70

=49
men said yes= 60-49
=11
men said no= 80-11
= 69
% of men said no= (69/80)*100
= 86.25%
hence 86.25% men said no.
9. Given that
Patrick will take 1hr10mins from his home to get to St Pancras Station, from he will get a
train to Manchester.
Then train journey from St Pancras to Manchester is 2 and half hours.
After that meeting venue in Birmingham is a 10mins taxi ride from the station.
So Patrick will take a total time of 3hr50mins.
Meeting will start at 10:45AM
It is also given that Trains to Manchester run at the given times: on the hour, 20 minutes past the
hour and 40 minutes past the hour.
The latest time that Patrick can leave home, if he is to make it on time for the marking exercise
in Manchester is 6:50AM
as he will take 1hr10min to reach station so he will be at station at 8 AM then he will catch train
at 8AM then he will reach Manchester at 10:30AM then in 10 min he will reach at the
destination at 10:40AM.
10. Given that
Weight of iPhone model= 0.18kg
weight of Samsung model=4/25kg
i.e.= 0.16kg
Hence 0.18 is larger value than 0.16 so iPhone model is heavier than Samsung model.
11.
(a) Norway had the highest number of total medals among the ten countries.
(b) Russia competed in the least number of games.

(c)The mode in the number of games countries participated in is 23. As 23 is the most repeated
value.
(d) Range =Highest value- lowest value
= 132 - 45
= 87
The range between the gold medals awarded to the 10 countries is 87.
(e) 6 countries got more silver medals than bronze medals.
(f) Norway got more gold medals, more silver medals and more bronze medals than Austria.
(g)
countries calculation no. of medals received per
game
Austria 232/23 10.08
Canada 199/23 8.65
Germany 240/12 20
Netherlands 130/21 6.19
Norway 368/23 16
Russia 120/6 20
Soviet union 194/9 21.55
Sweden 158/23 6.86
Switzerland 153/23 6.65
United States 305/23 13.26
Soviet Union received highest number of medals per game that is 21.55
(h)
(i)Norway most outperform the United States in all three categories gold medals, silver medals
and bronze medals.

(j)

12.
13.(a) Microsoft excel→select the gold medal column→Data→Sort→Current
selection→Descending→Ok.
6

(b) Microsoft excel→Select total medals column→Data→Filter→Standard
filter→Conditions→ greater than equal to 200→Value→200→Ok
7

(c) Column diagram will be suitable for representing only gold medals information.
(d)In the column of number of games replication have been used.
(e) The sum-mission formula will be used for finding overall total medals.
For example:- =sum(232+199+240+130+368+120+194+158+153+305)
=2099
14.
8