Numeracy 1
Numeracy 1 (MATI3006) Portfolio
Spring 2019 (A19)
Submission Deadline:Wednesday 24th April 2019 by 2.00 p.m.
Student Name
Student ID
Tutor
Section #1- Skills Audit [50%]
Task Instructions
You are required to answer each topic, providing clear and concise answers. Where required, supply examples showing use of the topics mentioned in real-world problems. You should also provide answers to the examples you write below. The suggested word count for this section is 500 words.
Think of ANY negative number. Write down the number that is 12 less than your negative number.
A:
1.1 Choose anytwo fractions: oneproper fraction and one mixed fraction. Both fractions should have different denominators (e.g.
1) Add these two fractions.
2) Divide the first by the second fraction.
A:
1.2 Convert both fractions you have used above into decimals and percentages.
A:
1.3 Assume you are thinking of purchasing a new vehicle. Your task is to find a suitable vehicle with two buying options.Choose a reasonable price for your prefe
ed vehicle.
Option 1) Cash Price –you get a discount of 10% if paid in full.
Option 2) On credit- £1000 deposit, followed by 48 monthly payments. (3.4% interest of total loan amount)
Find out what would be total amount payable for above options.
A:
1.4 Give one real- world example(problem) of reverse percentages.
Show your calculations to find the solution to the problem.
A:
1.5 Give two real- world examples (problem): one of Direct Proportion and one of Indirect Proportions.
Show your calculations to find the solution to eachproblem.
A:
1.6Using the plans of the flat and lawn shown below,
(a). Input the missing lengths or widths in the XXXXXXXXXXin the plan below.
(b). Work out the cost of buying a carpet for each room.
(c). Work out the cost for creating a fenced lawn area.
(d). Calculate the the total cost.
Please use the following prices:
Carpet for Living Room / Hall £5.50 per square metre
Carpet for Bedroom£6.30 per square metre
Carpet for Bathroom / Kitchen£8.90 per square metre
Grass seed for lawn area£1.50 per square metre
Fencing for lawn area £3.25per metre
PLAN OF THE FLAT (Not to scale)
(
6
m
)
(
4m
)
Bedroom
(
6m
)Living Room
Bathroom
(
4m
)
(
3m
)
(
3
m
) (
6m
)
(
6m
)
Hall
(
4m
)
Kitchen
(
6m
)
(
2m
)
(
[]
)
PLAN OF THE LAWN ( Not to scale)
A:
Section #2- Online Test with Evidence [10%]
Paste your screenshots here, please try and keep them within this box:
Section #3- Reflection [10%]
In the space provided below, write a short reflection (approximately XXXXXXXXXXwords) about your personal learning experience of the topics covered in your Numeracy 1 module.
You may write about the following:
-your learning style
-lessons learnt
-working in groups
-the skills you have developed studying this module.
Section #4 [30 %]
4.1The table below shows the number of students enrolled at an educational institution from year XXXXXXXXXX.
(a). Input the total count of student numbers at random from the following range [200-650] for years XXXXXXXXXXonly.
Student Count
2015
2016
2017
2018 (Predicted)
Under 25
25-35
Over 35
(b). Calculate 2018 predicted numbers using following method: 15% increase from the mean student numbers for all three previous years.
(c). Draw an appropriate graph for all data and comment onthe graph, highlighting any significant changes or trends.
(d). The number of students enrolled in the ‘Over 35’ category has increased by 12% between 2014and 2015. Calculate how many students were in the ‘Over 35’ category in 2014.
(e). Therewere 30% more females than males in 2016 in ’25-35’ category. How many male students were enrolled in the same year and category?
(f). In 2017, what is the ratio of total students in ‘Under 25’ category to the total population? Write your answer in the simplest form.
Show your calculations below, including drawing an appropriate graph.
4.2You own a shop that sells the following items: Xbox games, PlayStation games, DVDs, CDs, MS Office software.
(a). Input sales figuresfor each of the5 items for one week.
(b). Once you have entered numbers in your table, draw a pie chart to reflect this information.
(c). Calculate the total sales for all 5 items for that particular week.
You must show your calculation in preparation for drawing the pie chart.
Items
Price per unit item (£)
Quantity sold in 1 week
Total sales (£)
Xbox games
PlayStation games
DVDs
CDs
MS Office software
4.3 Rita did a survey to find out how many online friends people have. Here are her results.
Number of friends
Frequency (f)
1 to 80
29
81 to 160
16
161 to 240
12
241 to 320
6
321 to 400
5
401 to 480
2
(a). Write down the modal class interval.
(b). Using xfor the midpoint of each class interval, Rita found that fx = 9875, is she co
ect? Show your working.
(c). Calculate an estimate for the mean number of friends.
(d). Explain why your answer to (c) is only an estimate.
(e). Rita considered using a class width of 20 to find her estimate for the mean. Describe the likely effect of this change on the estimate for the mean.
(f). John thinks that the median is more appropriate than the mean as a measure of central tendency for Rita’s data. Explain why he might think this.
Key Texts:
Jacques, I., (2003), “Mathematics for Economics and Business”, 4th edition, Prentice Hall Mo
is, C., (2000), “Quantitative Approaches in Business Studies”, Prentice Hall Buglear, J., (2005),
“Quantitative Methods for Business”, Elsevier
Websites
You will find these Websites helpful for the module and are advised to consult them regularly. You may discover other Websites, which are also helpful. http:
www.khanacademy.org/ http:
www.
c.co.uk
itesize/ http:
www.m-a.org.uk/jsp/index.jsp