NAME:…………………………………………………………………stream…………

IBUN HAMIS ISLAMIC SECONDARY SCHOOL KIGOOGWA

S4.END OF TERM I EXAMINATION 2025
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 parts; I and II. Answer one item from each part.
 Answer four examination items in all.
 Any additional item(s) will not be scored.
 Begin each question on a fresh page.

ITEM ONE
Birabwa is a market vendor who sells vegetables in Jinja Central market. She buys her produce
from farmers in nearby farming villages. This week she bought 8 packs of
tomatoes containing 10 tomatoes from a farmer’s garden. She sold 25% of the total
number of packs before her long time friend Afua came to visit her and decided to take her out
for a drink at a hotel.
At the hotel, the friend ordered for 2 cups of hot coffee worth Shs 5,100 and 2 plates of food
each at Shs 20,000. While enjoying their evening meal, Afua informs Birabwa that she goes to
the hotel gym after every four days. Birabwa is impressed and she also resolves to come to the
same gym every after a week to do exercise.
After the meal and the chat, her friend gave Birabwa Shs 20,000 for transport back to the market.
Unfortunately, she found that one sixth of the remaining packs of tomatoes had been damaged
and she could not sell them. She decided to re-pack the undamaged tomatoes in new packs of
five tomatoes.
Task:
(a) What percentage of the total number of tomatoes is damaged?
(b) How many packs of fives and five fives did she get after packing again?
(c) After how many days will she meet her fired again at the hotel gym?
(d) How much money (in words) did her friend spend on the outing?

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With mathematics, we’re now friends. 4
ITEM TWO

St Paul’s Kitovu Secondary school is to transport its S.4 students for fieldwork in Kasenyi. All
the 400 students are to be transported using either coasters or buses. Each coaster can carry 40
people while each bus can carry 80 people. The transport department of the school has only 8
drivers on duty and up to four coasters. If the cost of hiring a coaster is shs. 150,000 and that of
hiring a bus is shs. 300,000.
While in Kasenyi their geography teacher Mr. Kefa visited Mr. Sembatya’s shop from which he
found that three shirts and two trousers cost shs. 105,000 at Mr. Sembatya’s shop. Two shirts and
five trousers cost shs. 180,000 at the same shop;
Task:
a) (i) Write down the five inequalities representing the above
information.a
(ii) Represent the inequalities on a graph paper.
(iii) Find the possible number of coasters and buses that can be used and hence determine
the minimum cost.
b) Find the cost of;
(i) Each shirt and each trouser.
(ii) Three items of each type at the shop.

SECTION B
This section has two parts; I and II

Part I

Answer one item from this part.

ITEM THREE
Mr. Wakida is a business man who deals in an agricultural produce business. He visited four
markets in week two of the month of April 2025.
In Nakasero market (N), he bought 3 bags of beans, 5 bags of maize, 10 bags of potatoes and 3
bags of millet.
In Gayaza market (G), he bought 1 bag of beans, 4 bags of potatoes and 2 bags of millet.
In Jinja market (J), he bought 4 bags of beans, 3 bags of maize, 6 bags of potatoes and 1 bag of
millet.
In Masaka market (M), he bought 5 bags of beans and 1 bag of maize.
Mr. Wakida bought each bag of beans at Shs. 45000, a bag of maize at Shs. 30000, a bag of
potatoes at Shs. 15000 and a bag of millet at Shs. 50000
However, since he is a business man, he later sold off all the produce he had bought at Shs.
50000 per bag of beans, Shs. 35000 per bag of maize, Shs. 18000 per bag of potatoes and Shs.
55000 per bag of millet.
TASK:
a) Assist Mr. Wakida to summarize the above information
(b) Using your knowledge of matrix multiplication help him to know:
i) The amount of money spent on the produce in each market.
ii) The amount of money he received after selling off all the bags.
c) Help him to know the amount of profit he made that week.
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With mathematics, we’re now friends. 4
ITEM FOUR
Due to Poor performance in Mathematics that was observed among learners in Pre-Registration
examinations, the school administration through academic board came up with strategies to
improve on the learner's performance. Some of the strategies are that a prize is given to learners
scoring above 70% and a remedial exam be given to learners scoring at most 50%. A
Mathematics examination was given to S.3 learners and marks were obtained as below;
38 74 28 32 10 31 49 34 50
30 56 50 42 38 64 24 64 09
18 35 12 52 41 27 08 48 22
42 43 52 59 72 70 15 79 29
TASK:
a. Using a classes with equal class width of 10 marks and starting with a class having the lowest
class mark of 1 and help the administration to find;
i. The number of learners to be awarded prizes
ii. The number of learners to be given remedial examination.
iii. What is the average performance of the class?
Part II
Answer one item from this part.
ITEM FIVE
John moves to his village. From home, he travels 25km on bearing of 250° to trading Centre,
from there, he changes course and heads N30°W and moves 55km up to the village. In the
village, he earns a gross income of UGX 943,500, and entitled to the following allowances as
well.
o Housing and transport, 10% of his gross income
o Insurance premium of UGX 36500
o Marriage and child allowance of UGX 126,500
o Medical care of UGX 92,400
He is also subjected to the following tax rates
Taxable income Tax rates (%)
(UGX)
1 - 90,000 6
90,001 - 200,000 14
200,001 - 320,000 20
320,001 - 440,000 30
440,001 - 520,000 42
520,001 and above 47
TASK
(a) (i) If he used the direct route from his home to the village, how far is the village from his
home?
(ii) How much does he earn monthly as net salary?
ITEM SIX
A friend was given sketches below of the rooftop he plans to put on his house;

The builder recommended iron sheets of 3ft by 4ft that cost UGX.40, 000 per sheet. Your friend
needs to know how many iron sheets to buy and how much it will cost him. (1ft = 0.3)
He also plans to get a loan of UGX.4, 000,000 that he is to pay back in 3 years to finance his
other projects one bank offers the loan at a simple interest rate of 10% and the others offers the
same loan at a compound interest rate of 5%. He is finding it hard to determine which bank is
cheaper to help him decide which of the two he can get a loan from.
TASK
a) How many iron sheets will he need to buy and how much will he need to buy them?
b) Which bank do you recommend him to get a loan from and why?
END