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

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07:43

learn2.open.ac.uk

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.

[6]

[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.

[5]

[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.

[1]

[1]

[3]

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

[6]

[3]

per child.

11

(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.

[5]

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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