Numeracy 2 (MAII3007) Coursework Portfolio Autumn 2018 Submission

This document is a Numeracy 2 coursework portfolio from Autumn 2018, submitted by a student. The portfolio is divided into two sections. Section 1, worth 75% of the final mark, comprises 10 questions covering topics such as powers and roots, simple and compound interest, linear equations, scatter plots, histograms, net present value, exchange rates, and probability. The solutions include detailed workings and explanations. Section 2, worth 25% of the final mark, includes a reflective log, real-life examples, and online tasks. The assignment assesses the student's understanding of numeracy concepts through problem-solving and application of these concepts to real-world scenarios. The portfolio includes calculations, graphical representations, and interpretations of data, demonstrating the student's ability to apply mathematical principles to various financial and statistical problems. The reflective log encourages self-assessment and critical thinking about the learning process. The provided solutions and the portfolio structure aim to help students understand and master the course material.

Numeracy 2 (MAII3007) Coursework
Portfolio
Autumn2018
Student Name
Student ID
Tutor
This is your Numeracy 2 e-portfolio which you must submit by Tuesday
18.12.2018 via the Student Portal.
Please read carefully
1

This is your Numeracy 2 e-portfolio for the semester commencing October 2018 (Autumn
2018). Please save a copy on your computer and back it up regularly (e.g. by saving it on your
computer/ in the cloud (e.g. Google Drive) / emailing it to yourself). You should print a working
copy and bring it to all lectures and tutorials. However, at the end of the course, you will need
to submit a completed electronic copy.
Please read carefully the module handbook, the marking criteria and the grade descriptors.
Academic Misconduct
You are responsible for ensuring that you understand the policy and regulations about
academic misconduct. You must:
• Complete this work alone(except where required or allowed by this assignment briefing
paper) and ensure it has not been written or composed by or with the assistance of any
other person.
• Make sure all sentences or passages quoted from other peoples’ work in this assignment
(with or without trivial changes) are in quotation marks, and are specifically acknowledged
by reference to the author, work and page.
The portfolio’s structure
Section 1 - is worth 75% of the final mark and consists of 10 questions.
2

Section 2 - is worth 25 % of the final mark and consist of three tasks.
Portfolio Contents
Week / Content Section 1
Question
Learning Outcome Page
Section 1
1. Recap numeracy 1.
Introduction, powers and use of calculator
1,2
2. Powers, root, logarithms. Use of calculator 1 1,2 4
3. Simple & compound interest 2,3 1,2 5
4. Simple & compound interest 2,3 1,2 5
5. Linear relationships 4,5 1,2,3 6 - 7
6. Further linear relationships 4,5 1,2,3 6 - 7
7. Scatter plots and Histogram 6,7 1,2,3 8 - 9
8. Net present value. Exchange rates. 8 1,2 8 - 9
9. Probability. 9, 10 1,2 10
10. Revision and in-class task 1,2,3
Section 2
11. Reflective Log N/A 1,3 11
12. Real-Life Examples N/A 1,2,3 13
13. Online tasks N/A 1,2,3 13
Section 1
10 questions 75 marks
3

You are required to complete this section immediately after completing the class sessions
related to each question. Answer all questions and show your workings and/or explain your
results. Marks will be awarded for good presentation.
You must show your workings.
QUESTION 1 [11 marks]
a) Put these in order starting with the smallest. (6 marks)
A.(2¿¿−2)2 ¿
B. 43 ×4− 4
C. 108 ÷ 109
b) Anna says that 3 √8 is the same as3
√8. (3 marks)
Show that Anna is wrong.
c) Write the number in standard form.(2 marks)
0.00000000375
[TYPE YOUR ANSWER TO QUESTION 1 HERE]
a)
A) (2−2 )2
= 2− 4
= 1
16 =0.0625
B) 43 x 4− 4
4
Week 1 and 2 – Powers and roots

=4−1
= 1
4 =0.25
C) 108
109 =0.1
A < C < B
b) 3√8
=3*2.828
=8.4852
3
√8 =2
So Anna is wrong
c) 0.00000000375
standard form = 3.75x 10−9
QUESTION 2 [9marks]
A. Anna deposited £3800 in a bank paying 3% simple interest rate. (3 marks)
Find out how much interest she will receive after 1 year and 3 months.
B. Amanda wants to invest £13,500. Two different institutions have offered her different
investment propositions. Showing your calculations, decide which investment option is more
beneficial for her. (6 marks)
Option 1
£13500 is deposited for 6 years in a bank paying 4% interest compounded annually.
Option 2
£13500 is deposited for 6 years in a bank paying 3.5% interest compounded semi - annually.
5
Week 3 and 4– Simple and compound interest

[TYPE YOUR ANSWER TO QUESTION 2 HERE]
2)
A) £3800
Simple interest rate= 3% = .03
Interest received in 1 year 3 months= 3800 x.03 x1.25
= 142.5
B) Amanda wants to invest £13500
A= P*( 1+ r
n ¿ ¿nt
A= amount
P = principal amount
r = interest rate in decimals
n = number of times interest is compounded per year
t = time
option 1
P= 13500
n= 1
r=4% =.04
t=6
A= 13500(1+ .04
1 ¿ ¿1∗6
=£17081.806
Option 2
P=13500
r=3.5% =.035
n= 2
t=6
A= 13500 x(1+ .035
2 )
2∗6
6

=£16624.430
Option 1 is beneficial for Amanda.
QUESTION 3 [6marks]
A. Sara invests £6850 at a 4.5% interest rate annually. How long would it take for Sara
to reach the balance of £8920.48 with annually compounding interest?(3 marks)
B. Matilda invests £8500 in a bank savings account and after 8 years her balance is
£13547.78.
Calculate the compound interest rate she received and round your answer to two
decimal places (2dp). (3 marks)
[TYPE YOUR ANSWER TO QUESTION 3 HERE]
3)
A) P= £6850
r=4.5% =.045
A= £8920.48
n =1
t =?
A= P*( 1+ r
n ¿ ¿nt
A= amount
P = principal amount
r = interest rate in decimals
n = number of times interest is compounded per year
t = time
8920.48= 6850(1+ .045
1 ¿ ¿t
1.3022= (1.045)t
7

t=6
6 years is needed
B) P=8500
t=8
A=13547.78
n= 1
r=?
A= P*( 1+ r
n ¿ ¿nt
A= amount
P = principal amount
r = interest rate in decimals
n = number of times interest is compounded per year
t = time
13547.78= 8500 (1+ r
1 )
8
1.0599=1+r
r=.0599
= .06
Interest 6%
QUESTION 4 [7 marks]
b) Calculate the intersect point for line y = 7x – 10 and y = 5x + 2 (4 marks)
8
Week 5 and 6 – Linear equations

b) Solve the inequality and choose a correct graphical representation for your result. (3 marks)
6t – 6 ≤ 8t – 12
A. B. C.
D. E. F.
TYPE YOUR ANSWER TO QUESTION 4 HERE]
4)
a) at intersecting point
7x-10=5x+2
2x =12
X=6
Put x=6 in any equation
y=7x -10
=7*6 - 10
=42-10
=32
Intersecting point (x, y) = (6,32)
9
-3
3-33
-3 3

b) 6t-6 ≤ 8t-12
12-6 ≤ 8t-6t
6 ≤ 2t
3 ≤ t
Option c
QUESTION 5 [5 marks]
Draw a line representing the given linear inequalities y > 3x + 1 and shade the region that
satisfies this inequality.
x -2 0 1
y
10

TYPE YOUR ANSWER TO QUESTION 5 HERE]
5)
Y > 3x + 1
x -2 0 1
y -5 1 4
11

QUESTION 6 [10 marks]
The scatter plot presents the correlation between monthly expenses spent on advertising a
newly launched product and monthly profit from its sale. Knowing that the line of the best fit
crosses points (4000, 13057) and (6000, 17057) calculate the expected profit when company
invests £8000 for an advert.
12
Week 7 – Scatter plot and Histogram