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MATHEMATICS
Paper 1
2024
1
2 ⁄4 hours

MATIGO EXAMINATIONS BOARD

Uganda Certificate of Education
PRE MOCK EXAMINATIONS 2024
MATHEMATICS

Paper 1

2 hours 15 minutes

INSTRUCTIONS TO CANDIDATES

This paper consists of two sections; A and B. it has six examination items.
Section A has two compulsory items.
Section B has two parts I and II. Answer one item from each part.
Answer four examination items in all.
Any additional item(s) answered will not be scored.
All answers must be written in the answer booklet(s) provided
Graph paper is provided
Silent, non-programmable scientific calculations and mathematical tables with a list
of formulae may be used

© 2024 Matigo Examinations Board

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SECTION A
Answer all items in this section.
Item 1
Customers of your family cake making company have always complained of too much
sugar ingredient in the cakes bought. The company has 25 bakers together who can
make 480 cakes in three days. However, your company has been hired to make 960
cakes in the five days remaining for a fourth coming cake festival in your town. The
managing director has hired more 8 bakers and you have been selected to do a
survey from the nearby related company to solve the problem of too much sugar in
cakes. It has been realized that a delicious cake requires Sugar, coconut oil and flour
that are mixed in the ratio of 2:3:5 respectively, each cake contains 0.75kg of flour.
Hint:
1 kilogram of sugar costs Shs 5,000.
500 grams of coconut oil cost Shs 3,500
1 kilogram of flour costs Shs 8,000
Task:
(a) Help your family to find if the available number of bakers can produce the
required number of cakes in the stipulated time and advise them
accordingly
(b) Establish the total cost of sugar, coconut oil and flour required to make 960
delicious cakes. (20 scores)

Item 2
A camping supply company produces back packs in two models; journey and trek.
The journey models requires 4 hours of labour and the company makes a profit of
Shs 40,000. The trek model requires 6 hours of labour and the company makes a
profit of Shs 80,000. The distributor will accept no more than 4 trek models and 15
journey models per week.
Task:
(a) Write mathematical statements that show the relation between the two
models.
(b) Show the feasible region of the relation on the Cartesian plane.
(c) If you were the manager, determine the minimum number of hours of
labour that are required for the company to make a profit of at least Shs
400,000 per week. (20 scores)
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SECTION B
This Section has two Parts; I and II
Part I
Answer one item from this part
Item 3
A telecommunication company plans to introduce a new minutes bundle on the
menu and employs callers to investigate people’s opinion on the minutes of the
package that will cost 1200Shs. The callers made a survey on random calls of the
customers to gather their opinion and use the average minutes. They collected the
data collected below.
52 36 76 51 62 67 70 50
45 49 54 58 53 74 64 56
50 80 70 57 64 64 43 78
84 71 85 72 78 43 42 75
84 72 69 49 66 42 65 88

Task:
(a) Giving a reason based on computations using the collected data, suggest the
suitable number of minutes to be added on the menu.
(b) The supervisor wishes to know the number of people who prefer minutes
greater than 60. Help him/her to estimate this number of people.
(20 scores)
Item 4
In the bid to determine the likelihood of a particular cell phone being successful on
the market, your uncle who owns an electronics workshop tasked you to conduct a
survey on 150 people on the streets of your town about the usage of any of these cell
phones. Galaxy (G), Flip phone (F), and I-phone (I), then he will decide whether to
purchase more of a given type if the likelihood of those who used only that one type
exceeds 0.1. 45 owned a flip phone, 60 owned an I-phone, 63 owned a Galaxy, 15
owned a Flip phone and an I-phone, 25 have owned both a Galaxy and an I-phone, 15
have owned both a Galaxy and a Flip phone only and 5 have owned all the three.
Task:
(a) Find out if there are people who have not owned any of the three.
(b) Calculate the probability of people who owned only one type of cell phone.
(c) Advise your uncle on whether to purchase more of these types
(20 scores)
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Part II
Answer one item from this part.

Item 5
Your brother received Shs 597,000 as a salary and complains of underpayment
exhibited in one of the private secondary schools in which he was employed as a
teacher at the start of the year. He further says the biggest percentage of his money
goes to the government as tax. On acquiring the job he signed a three-year contract
with the following terms and conditions.
A teacher’s monthly gross income has certain allowances deducted from it before it
is subjected to the government income tax band. The allowances are as follows.
 Married teacher Shs 18,000 per month
 Un married teacher Shs 12,000 per month
 Each child below 11 years Shs 5,000 per month
 Each child above 11 years but below 18 years Shs 7,000 per month
 Each lesson taught Shs 3,000
 Each examination invigilated Shs 5000
 Meeting allowance Shs 50,000 per meeting
 Housing allowance Shs 240,000 per month
 Lunch allowance Shs 2,000 per day
Government Income Tax Band
Taxable Income (Shs) Rate (%)
0 – 100,000 10
100,001 – 200,000 25
200,001 – 300,000 30
300,001 – 400,000 45
400,000 and above 50

Your brother earns a monthly a gross pay of 1,240,000 he is married with 3 children
of ages 10, 15 and 19. Given that he has 64 lessons taught in a month, attended
beginning of term staff meeting and invigilated 5 examination sessions.
Hint: A month has 30 days.
Task:
(a) Help him find how much money and its percentage he pays to the
government as tax.
(b) Establish the take home pay of your brother and advise him if there could
be something wrong with his payment transactions. (20 scores)
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Item 6
A family decides to paint the inner walls of its living room for New Year celebrations
with a budget of Shs 400,000. The room is 5m long, 4m wide and 3m high. The room
has two painted doors in the middle of the walls opposite to each other. Each door is
2m high and 0.75m wide. The room has one painted window in one of the side walls
which is 1m square. A painter charges Shs 800 per square meter painted and for
every 10m square wall painted fully, consumes a 4 litre tin paint which he sells at Shs
70,000.
Task:
As a mathematics student;
(a) Establish computations to find out if the budgeted money could be enough
for this work.
(b) If a painter offers a discount of 10% on labour and 5% on every litre of
paint. How much money shall the family save? (20 scores)

END
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