Using Numeracy Data and IT - Desklib

USING NUMERACY DATA AND
IT

Table of Contents
PART 1............................................................................................................................................ 4
Q1.............................................................................................................................................. 4
Q2.............................................................................................................................................. 4
Q3.............................................................................................................................................. 4
Q4.............................................................................................................................................. 5
Q5.............................................................................................................................................. 5
Q6.............................................................................................................................................. 5
Q7.............................................................................................................................................. 6
Q8.............................................................................................................................................. 6
Q9.............................................................................................................................................. 7
Q10............................................................................................................................................ 7
PART 2............................................................................................................................................ 7
Question 11.a.............................................................................................................................7
Question 11.b.............................................................................................................................7
Question 11.c............................................................................................................................. 7
Question 11.d.............................................................................................................................7
Question 11.e.............................................................................................................................7
Question 11.f............................................................................................................................. 8
Question 11.g.............................................................................................................................8
Question 11.h.............................................................................................................................8
Question 11.i..............................................................................................................................8
Question 11.j..............................................................................................................................9
PART 3: USING IT............................................................................................................................9
Question 12................................................................................................................................9
Question 13..............................................................................................................................10
a).............................................................................................................................................. 10
b).............................................................................................................................................. 10

c).............................................................................................................................................. 11
d).............................................................................................................................................. 12
e).............................................................................................................................................. 12
Question 14..............................................................................................................................13
a).............................................................................................................................................. 13
b).............................................................................................................................................. 13
c).............................................................................................................................................. 14
d).............................................................................................................................................. 15
Question 15..............................................................................................................................15
a).............................................................................................................................................. 15
b).............................................................................................................................................. 16
c).............................................................................................................................................. 17
d).............................................................................................................................................. 18
Question 16..............................................................................................................................19
a).............................................................................................................................................. 19
b).............................................................................................................................................. 19
REFERENCES...................................................................................................................................1

PART 1
Q1
Numerator and denominator are two parts of the mathematical term fraction. Fraction is
basically a manner of presenting any number where there are two integers separated by a
division sign. Number before the division sign is referred to as numerator while number after
the division i.e. below numerator is termed as denominator (Bentley and Bossé, 2018). Further,
it can be said that numerator is the selected data out of the total available data set which is
denominator. For instance, ½ indicates 1 as numerator and 2 as denominator i.e. 1 part is
selected out of total 2 parts that are available.
Q2
The process of simplifying any fraction involves identification of Highest Common Factor
i.e. HCF in the integer values present in numerator and denominator (Aksoy and Yazlik, 2017).
In the present case the simplification of 24/40 involves 8 as its HCF. Therefore, both numerator
and denominator are divided by the HCF and it results in the simplest form of fraction i.e. 3/5.
Further on, another fraction i.e. 18/42 involves HCF of 6. Hence the simplest form of this
fraction is 3/7. Conclusively, it can be said that HCF can be used in order to derive any fraction
to its simplest form.
Q3
a) Equivalent fractions basically indicates those fractions which represent similar part out of the
whole i.e. their numbers might be different but they indicate the same fraction value (Rinne, Ye
and Jordan, 2017). The fraction 2/3, 3/4 and 5/6 can be turned into equivalent fractions having
denominator of 12 by multiplying both numerator and denominator with the same values. For
instance:
 2/3 when multiplied by 4/4 will result in new fraction i.e. 8/12.
 3/4 will be multiplied by 3/3 to develop new fraction of 9/12.
 5/6 can be multiplied with 2/2 thus resulting in fraction 10/12.
Now all of these fractions have similar denominator of 12 and are equivalent fractions as they
represent similar value.

b) First of all the remaining number of books need to be calculated in order to derive the
percentage of computing books in the library.
Remaining books = 60000 – 14000 – 22000 – 12000 = 12000 books are remaining.
Now it has been said in that computing related books constitute 2/3 of the remaining books i.e.
2/3 of 12000. Hence,
2/3 * 12000 = 8000 books in the library are computing books.
In order to determine the percentage of computer books out of the total number of books in
the library i.e. 60000, computing books will be divided by total and then multiplied by 100 in
order to convert fraction into percentage:
8000/ 60000 * 100 = 13.33% books are related to computing out of all the books.
Q4
Total pair of shoes purchased = 2 pairs
Amount given by Liz to sales attendant = £50 * 3 = £150
Amount given by sales attendant = £10.50.
Hence, cost of 2 pair of shoes actually charged = £150 - £10.50 = £139.5
Now the cost of each pair can be calculated as: £139.5/2 = £69.75
Q5
a)
240.50 * 19.54 can be computed as 4699.37. The result obtained is already in two significant
figures thus showing relevant results.
b)
52100, in the form of power of 10, can be written as 5.21 * 104.
Q6
a)
Total amount paid for Patty and her 2 siblings i.e. 3 people is £210 and they registered in
the first month when discount was being given by the gym @ 30%. This indicates that the £210
is equivalent to the 70% of payment made. Therefore, in order to calculate 100% amount i.e. x:
£210 = 70% of x
x = (£210 / 70) * 100
x = £300

Hence the total amount that would have been paid if discount would not have been given is
£300. Therefore, total discount availed by Patty and her 2 siblings is £300 - £210 = £90.
b)
As it was calculated in the first part, the total discount utilised by Patty and her siblings
i.e. the total savings that they made was £90. And since these savings are for 3 people the
average number of savings per person can be obtained by dividing the total savings with 3:
Average savings per person = £90/3 = £30 savings per person.
Q7
a)
The equation can be solved in following manner:
3/4 -7/9 + 2/3
0.75 – 0.78 + 0.67
0.64 or 16/25
b)
From all the selected numbers, 0.1 is the highest number.
Q8
There were 90 men and 60 women i.e. there were a total of 150 people who were
questioned about the Expendables movie.
Out of total 150 people, 3/5 said yes which indicates that remaining 2/5 said no. Hence,
People saying yes = 150 * 3/5 = 90 people
People who said no = 150 – 90 or 150 * 2/5 i.e. 60 people who said no.
Further, it is indicated clearly that out of 60 women 3/10 of them said yes which means:
60* 3/10 = 18 women said yes i.e.,
60 – 18 = 42 women said no.
It is already identified that total number of people who denies were 60 out of which 42 were
found to be women. This indicates that the number of men who denied watching movie are 18.
The percentage can be calculated as 18/150 * 100 = 12% of men said no.
Q9
It is evident from the above question that Annabelle needs to speak at 10:30 a.ma in
Birmingham and she lives in Bermondsey. She needs to leave her home at 8:00 a.m. because: