The Open University Good Mathematical Communication Questions

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maths questions as previously discussed. I have attached relevant screen shots.

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TMA 01
Cut-off date 10 November 2020
Question 1 10 marks
This question is based on your work on MU123 up to and including Unit 1,
concentrating on good mathematical communication (GMC).
Consider the following TMA question:
A supermarket shelf is 96 cm long and holds exactly 14 cartons of
orange juice. Find the width of one carton of orange juice, in cm,
giving your answer correct to one decimal place.
Here is a student’s attempt at a solution, with the correct numerical result:
=
96 = 96/14
6.9
length
(a) With reference to good mathematical communication (GMC), describe
three aspects of the student’s solution that could be improved.
(b) Write out your own solution to this question.
You will find pages 54-8 of Book A useful.
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[4]
(5)
Question 2 30 marks
This question is based on your work on MU123 up to and including Unit 1.
(a) A craftworker needs exactly 8 m of material to make 10 shopping bags.
Calculate the length of material needed to make 14 bags.
(b) A tutor has 23 MU123 students in their tutor group.
Within this
group
18 students are registered for a Computing and IT qualification.
Calculate the percentage of students in this tutor group who are
registered for a Computing and IT qualification. Give your answer
correct to the nearest whole number.
(c) A local authority has a fleet of 120 vehicles. Within the fleet 15% of the
vehicles are electric.
(i) Calculate the number of electric vehicles in the authority’s fleet.
(ii) Write the number of electric vehicles as a fraction of the total
number of vehicles in the fleet. Give your answer in its simplest
form.
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[3]
[2]
[5]
(d) (i) Archie, Layla and Jacob are growing sunflowers. Archie’s sunflower
is 2.13 m tall. Layla’s sunflower is 17% shorter than Archie’s.
Calculate the height of Layla’s sunflower. Give your answer correct
to three significant figures.
(ii) Jacob’s sunflower is ở of the height of Layla’s sunflower. Calculate
the height of Jacob’s sunflower. Give your answer correct to three
significant figures.
(e) Ryan’s mobile phone alerts him to the amount of screen time he has had
in the previous week. In one week his screen time rose from an average
of 46 minutes a day to an average of 54 minutes a day. Calculate the
percentage increase in Ryan’s screen time, giving your answer correct to
one decimal place.
[5]
[5]
page 2 of 7
Question 3
20 marks
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3 of 7
Question 3
20 marks
This question is based on your work on MU123 up to and including Unit 2.
(a) Bhavani plans to walk part of the Jurassic Way in Northamptonshire at
the weekend. Before she sets out, she estimates that the 24 km section
from Banbury to Woodford Halse will take her 6 hours 15 mins to
complete. Find Bhavani’s average speed in km per hour if she completes
the walk in this time.
4
(6)
151
(b) Bhavani manages to complete the walk from Banbury to Woodford
Halse at an average speed of 3.3 km per hour. Find the time taken by
Bhavani to complete the 24 km walk. Give your answer in hours and
minutes, correct to the nearest minute.
(c) The next stage of the walk, from Woodford Halse to Ashby St Ledgers,
measures 42.5 cm on a map with a scale of 1 : 50 000. Find the
corresponding distance on the ground. Give your answer in km correct
to three significant figures.
(d) The lowest point of the walk from Woodford Halse to Ashby St Ledgers
is 109 m above sea level and the highest point is 196 m above sea level.
Let h represent the height in m above sea level.
(i) Explain what the inequality h > 109 means in this practical
context.
(ii) Draw a number line to illustrate the range of heights above sea
level encountered on the walk.
(iii) Give a double inequality, using h, to describe the range of heights
above sea level encountered on the walk.
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[1]
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page 3 of 7
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Question 4
20 marks
This question is based on your work on MU123 up to and including Unit 2.
(a) A hot air balloon begins its descent to the ground from a height of
160 m. It descends steadily, at a rate of 2 m per second.
(i) Using this information, complete a copy of the table below.
Time, T, in seconds
0 1 15 30 40 55
70
0 80
[2]
Height of balloon,
H, in metres
160
130
100
(ii) Mark the points from part (i) on a graph, with the vertical axis
showing H, the height of the balloon in metres, and the horizontal
axis showing T, the time in seconds. Draw a line through these
points. You will find the tips for drawing graphs on page 84 of
Unit 2 useful.
You can draw your graph either by hand (using graph paper) or
using a computer.
(iii) Explain how you could use your graph to find the time when the
balloon’s height is 30 m. How long does the balloon take to descend
to this height?
(b) A bus journey from Swansea to Cardiff costs £10 per adult and £5.50
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[3]
per child.
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(i) Calculate the total cost of the journey for three adults and four
children.
(ii) Write down a formula for the total cost T, in £, if a is the number
of adults travelling and c is the number of children travelling.
Explain your reasoning.
(c) Given that
نت
5a + 2
b.
-c?
find the value of k when a = 0.7, b = -0.3 and c= -0.5.
Give your answer correct to three significant figures.
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page 4 of 7

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Tags:
computing

numerator and denominator

good mathematical communication

IT qualification

the horizontal axis

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