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Mathematics, Computing and Technology
MU123 Discovering mathematics

MU123
TMA 01
Covers Units 1 and 2.

2015J
Cut-off date: 3 November 2015

Submission instructions
You will find instructions for completing TMAs in the Assessment resources area of the MU123 website. Please read these instructions before beginning work on this TMA.

Special instructions
Fourteen marks are awarded throughout this TMA for good mathematical communication. The number of marks allocated to each question is shown at the beginning of the question. Your tutor may use the abbreviation ‘GMC’ when allocating these marks.
Good mathematical communication includes explaining your reasoning and communicating your ideas clearly and correctly. You will find it helpful to look again at Subsection 5.3 of Unit 1.
Question 6 asks you to think about your progress throughout Units 1 and 2; you might want to read this first so that you can bear it in mind as you work through the other questions.

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MU123 TMA 01
Question 1 –

Cut-off date 3 November 2015

20 marks

This question is based on your work on MU123 on Unit 1. Four marks are allocated for good mathematical communication, as described in the special instructions at the beginning of this TMA.

[4]

Table 1 shows the number of cups of coffee drunk on a certain day by a group of people who work for a local council.
Table 1

Number of people drinking a given number of cups of coffee

Number of cups

Men

Women

Total

0

12

6

18

1–2

A

16

24

3–4

10

3

13

5 or more

3

2

5

Total

33

27

60

(a) Calculate the number that should be in the shaded box marked A.
Show your working clearly.

[2]

(b) Work out the percentage of the people surveyed who drank 5 or more cups of coffee, giving your answer

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...– – Question 1 a) In table 1 the box marked A. represents the number of employees over 45 that used a car to travel to work. The table shows that the total number of employees that uses a car to travel to work is 36. The table also shows that 11 of these employees are under the age of 45. Therefore to calculate box A = Total employees – Number of under 45 that use a car Shaded Box marked A = 36 – 11 =25 The number that box A. represents is 25, showing there are 25 employees over the age of 45 that use a car as there mode of transport to work. b) From Table 1, the number of employees that used a bus to travel to work is 18 out of 90 employees. So the percentage that travelled by bus So 20% percent of employees came to work by bus. c) The number of employees that used a carbon neutral mode of transport was Employee s that used carbon natural methods The statement that only one-third of these employees are under the age of 45 is true. Out of these 36 employees that used carbon neutral mode of transport the table shows that 12 employees were under the age of 45. Employees under the age of 45 walked or cycled. 1 4 12 3 So this verifies that only one third of employee that used carbon neutral mode of transport were under the age of 45 years old. Page 1 of 6 – – Question 2 (a) The price of a one litre carton of smoothie under the first offer of 25% off the usual price would be So the price of a one litre carton of smoohtie under offer...

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