Item Element of Topics

Construct
Item one Numbers Number bases 2.
Working with Integers 3.
Rectangular Cartesian Coordinates in 2-
Dimensions
4. Fractions,percentages and decimals 5.
Numerical concepts 1 and 2
(a) Indices
(b) Surds 6.
Ratios and Proportions
Item two Patterns and Sequence and patterns
Algebra 2. Equation of lines and curves
3. Algebra 1 and 2
4. Mappings and relations
5. Vectors and translation
6. Inequalities and regions
7. Equation of a straight line
8. Simultaneous equations
9. Quadratic equations
10. Composite functions
11. Equations and inequalities
12. Linear programming
13. Loci
Item three and four Data Data and Data collection/display and presentation
and Probability Probability 2. Graphs
1 3. Set theory
4. Matrices
5. Probability
Item ve and six Geometry Geometry and Geometric Constructions Skills
and Measures Measures 2. Bearings
1 3. General and angle properties of geometric
gures
4. Reection
5. Business mathematics
6. Time and time tables
7. Similarities and enlargement
8. Circles
9. Rotation
10. Length and area properties of twodimensional
geometrical gures.
11. Nets, areas and volumes of solids
12. Trigonometry
13. Vectors
14. Matrix transformations
15. Circle properties
 16. Lines and planes in three dimensions

Number bases

Item 1

Five girls whose homes when marked on a grid make a trapezium, wanted to buy clothes. They
realized that if they buy them in a bunch, it will be cheaper. So they mobilized themselves and each
person contributed as follows: Girl 1: Contributed one hundred thirty-three thousand two hundred
fifty shillings. Girl 2: Contributed 20% more than that of girl 1 and Girl 3: Contributed 11 2 of the
amount girl 1 contributed. Girl 4: Contributed a fraction that is 1 5 less than the fraction of girl 3 of
the amount of girl 1 Girl 5: She contributed the balance required to make the Shs.800, 000 required.
TASK: a) Locate the homes of the girls on a grid while labeling their coordinates.

b) What amount did each girl contribute?

c) In which other way could they contribute the amount required fairly and according to that
way, how much would each contribute?

Question 2

Your mathematics teacher has promised to award his best three students Maria, Monica and Mariam
with 126 counter books. Each counter book costs UGX12000 in the market. Maria will receive 42 counter
books in base 6. Monica will receive 36 counter books in base 8. Mariam will receive the share of her
counter books in base 10. To provide accountability to the school head teacher, the mathematics
teacher intends to present the data on appropriate chart to the head teacher.

Task a) Determine how much money was spent in buying Mariam’s Counter books

b) Help the teacher to present the data to the school head teacher.

ITEM

Wilson and Ronald are students of the same school. They are working on a mathematics assignment that
involves number bases. Wilson is working in base 6 while Ronald is working in base 8. Wilsons number is
24 written on a white cardboard while Ronald’s number is 32 written on a blue cardboard. They are all
aiming at find the least number that can divide all the two numbers. Wilson ′s class has 5 streams with 15
students each while Ronald’s class has 2 streams with 24 students each. The school wishes to determine
the minimum number of students each stream should have so that they contain the same number of
students.

Task

a) Help Wilson and Ronald to determine the least number that can divide all the two numbers
b) Help the school to determine the number of students each stream should have?

Question 4

Your school has received a new set of mathematics books for the lower secondary school curriculum
from the ministry of education and sports. The school is arranging the books into boxes to hand them
over to the school librarian. The school decides to arrange the books in rows on different number bases.
The first box is arranged in base 2, the second box in base 3 and the third in base 5. Each box has equal
number of books in each row. The first box contains rows of books. The second box contains 9 rows of
books and the third box contains 8 rows of books. The librarian is creating selves and each self will
contain equal number of books. Each book costs UGX25000

Task

a) Determine the total number of books that the school received from the ministry of education
and sports.
b) b) How many books will the librarian arrange in each shelf? c) Determine the amount of money
spent in buying each box of books

Question 5

Scovia locks her phone with a password “MATH” after using it. Each letter in the password
represents a number in base five. M represents 13, A represents 1, T represents 20 and 8 represents
8. Ruth wants to use the phone but needs to combine the numbers in base 10 to unlock the phone.
Scovia bought the phone at UGX780000. She plans to sell the phone to Ruth at UGX1080000. Scovia
plans to use part of the money to buy a crate of soda that has 24 bottles for her birthday and save
the rest. Each bottle of soda costsUGX12000.

Task a) What number should Ruth use to unlock the phone?

b) Determine Scovia’s percentage profit

c) Express the amount of money that will be used to buy the crate of soda as a percentage of
the amount of money that will be save.

James and Joan are students in the same school. James is holding a white card with numbers 24 and
45 written in base 6 on it. Joan is holding a blue card with the same numbers written in base 8 on it.
They all want to find the least number that can divide the two numbers on their respective cards.
James claims that he will be the first to obtain the correct answer since he is 5 years older than Joan.

Task

a) Determine the correct answer James will find

b) How old is Joan if the sum of the ages of the two students is 39

Working with integers

A football team gains 3 points on the first tournament, loses 6 points on the second tournament,
loses 3 points on the third tournament and gains 4 points on the fourth tournament. Each point
gained is awarded UGX54500 and each point lost is deducted UGX12500. The team has 40 players
who are either left footed or right footed. 28 players are right footed while 17 players are left
footed. A player who is both left and right footed is awarded UGX 258000 by the football
association.

Task

a) Determine the total amount of money the football team obtained from the four tournaments b)
How much money did the football management spend in awarding the players who are both right
and left footed? (write your answer in words)

Question 3

You are playing a game on your computer using a spinner. You start with the spinner at blue and
score 48, and spin the spinner four times to orange, spin the spinner three times again to green and
finally spin the spinner 6 times to red. Each spin gives a score of 4.

Task

a) Write your total score in words b) Using two different charts, display the scores at blue, orange,
green and red

Question 4

Prepared by Sam Ogwang Otema (0750900271)

James bought three bags at UGX 45000 each after being given a discount of 5% on the original price
of each of the bags from a shop in Kampala. He bought oranges at UGX500 each and put in the bags.
Each bag contained 8 oranges. James then decided to share them with his four friend Joshua, Jakin,
Jack and Jadon by dividing them equally in to four groups. He bought 10 more oranges later on and
added them to the total number of oranges he had. James realized that he had to multiply the sum
of the oranges by 2 to determine the final count. Joshua being the oldest of the other four friends by
2 years claims that he should be given more oranges. The sum of the ages of the five people when
pressed on a calculator was found to be 77.

Task

a) Determine the total amount of money of the final count. b) What is total original cost of the three
bags c) Determine the ages of the five people.

Question 5
Your sports teacher is organizing a sports event this Saturday. He wants to buy sports equipment
sets that include basketballs and footballs for their activities. He has three different sets to choose
from: Set A includes 8 basketballs and 12 footballs, Set B includes 6 basketballs and 18 footballs and
Set C includes 10 basketballs and 15 footballs. Each ball in set A costs UGX80000, each ball in set B
costs UGX 8000 more than that in Set A and each ball in Set C costs UGX12000 more than that in Set
B. The sports teacher wants to figure out the total number of each type of ball he needs to buy to
ensure that each activity group has the required number of balls without shortage or wastage.

Task

a) Determine the total amount of money he must spend in buying to balls to achieve his target. b)
The sports teacher has UGX 7800000 for buying the balls, he wants to use 10% of the balance to
purchase mineral water. Determine how much he has to spend on mineral water.

Question 6

among his other friends. If he gives each friend 𝑥 apples , he will have 3 apples remaining. Each
Your high school friend spent UGX15000 in buying apples. He wants to distribute the apples equally

apple costs UGX1000. Emily, Michael and Sophia are among your best friends as well. Emily has 18
apples in her bag. Michael has 24 bags in his bag

Prepared by Sam Ogwang Otema (0750900271)

while Sophia has 30 apples in her bag too. They want to find the highest equal number of apples
that should be put in each bag and the least equal number of apples each bag can contain.

Task

a) Determine the number of apples (𝑥) each friend will receive from your friend. b) Help Emily,
Michael and Sophia to address the challenge.

Question 7

Your brother went to school to do mathematics practice on the chalkboard. During his practice, he
pressed a number on a calculator, added the square of 5 to the number. He later realized that when
he divides the result by 4, he gets 5 times the number. After the practice, your brother left school
and walked 5 kilometers to a trading centre to buy water, he then walked in the north east to his
friend’s home and rested there for some hours before walking 6 kilometers in the western direction
to a supermarket to buy some scholastic materials for mathematics practice in the coming days.
Your home is 5 kilometers due south of the supermarket.

Task
a) Help your brother to find out the number. b) How far is your home from the school using the
direct route?

Fractions, percentages and decimal

Question 1

Your uncle works as a sales agent in a cement manufacturing company. He is paid a basic monthly
salary of UGX1800000. He is paid UGX400000 for every 25 bags of cement he sells. Your uncle sells
400 bags of cement in a month. He decides to save 20% of total salary every month and share the
10% of it among his four children in the ratio of 2:3:4:1 according to their ages. The eldest child
receives the highest amount of money. His daily expenses are UGX 20000. The rest of the money is
invested in to the family business.

Task

a) How much money is invested in to the family business every month? b) Work out how much
money the youngest child gets

Question 2

Prepared by Sam Ogwang Otema (0750900271)

Annet bought fruits consisting of mangoes, guavas, oranges and passion fruits in the ratio of 2:4:4:2
from a fruit store. He ate 1 4 of the fruits and gave away 40% of the remaining oranges to his
friends. She sold the rest of the fruits to his neighbor at UGX1500 each. Each fruit in the fruit store
costs a UGX800. She bought 14 passion fruits from the fruit store.

Task

a) Determine her percentage profit. b) Display the information using an appropriate chart.

Question 3

A secondary school consists of 24 lower secondary school prefects. The prefects plan to hold a
meeting this Saturday in one of the school hall. The school hall can accommodate many people as it
has single seats arranged in 8 rows and 12 columns. The school has bought 48 bottles of mineral
water, 120 bottles of soda and 84 cups of juice. 17 prefects drink soda, 12.5% of the prefects do not
drink soda or juice and 9 prefects drink juice. Each bottle of the drinks costs UGX4000

Task

a) Using appropriate chart, display the categories of drinks bought b) Work out how much money
was used to buy bottles of drinks for people who drink both soda and juice if they will drink two
bottles each.
Question 4

Oscar wants to design a triangular garden in her backyard. The base of the triangular garden is 12
metres long and the height is 8 metres. He plans to divide the garden in to three equal sections to
plant different flowers. Oscar decides to allocate 1 3 of the garden to roses, 1 4 to tulips and the
remaining section to sunflowers. Oscar realizes that the roses need 40% of their section to grow
properly, the tulips need 25% and the sunflowers require 35%. Oscar decides to install a decorative
border around the perimeter so that it just touches the edges of the garden and the border costs
UGX50000 per metre.

Task

a) What is the total cost of installing the decorative border? b) What is the area in square meters
allocated to each type of flower?

Prepared by Sam Ogwang Otema (0750900271)

c) Find out how many square metres of each flower bed should be allocated for optimal growth.

Question 5

The village hunters standing by the roadside need to navigate through the game park to find three
different wild animals, cob, rhino and porcupine resting at three different places. The village hunters
need to move northeast to find the cob and turn southward to find the rhino before turning
southwest to find where the porcupine is resting. The distance from the road to the cob is 25% of
the total distance and the distance to the rhino is 40% of the total distance. The remaining distance
to the porcupine accounts for the remaining 35%. The distance to the cob from the village hunters is
500 metes

Task

a) Work out the total distance the village hunters need to cover. b) What angle should the hunters
turn through if they are to move from the road to the porcupine?

ITEM ONE:

Herman and his father Lutaaya have an age difference of 25 years and the product of their ages is
150 years. One day during a mathematics lesson Herman borrows a calculator from his neighbor and
on the screen he finds a number 840 which made him wonder which two numbers he could have
entered to get the as a product of The figure Later on during the festive season Herman and his
elder brother Tom were visited by their uncle and were each given and

Respectively. Herman used all his money to buy 4 shirts and 3 vests while Tom used all his money to
buy 5 shirts and 4 vests.
Tasks:

(a) How old do you think is Herman and his father Lutaaya?

(b) Help Herman figure out all the possible values that his neighbor could have typed in the in the
calculator to get the number on the screen.

(c) Help the two brothers explain to their father how much he would spend if he wanted to buy
three vests and five shirts for their cousin brother Isaac.

Question 6

Mr. Amara is a village farmer. He owns a triangular garden with sides measuring (𝑥 + 2) metres, 𝑥 +
5) metres and (𝑥 + 8) meters. Mr. Amara wants to build a circular fence around the garden in such a
way that it just touches the corners of the garden without entering it to keep out animals. The
fencing material costs UGX7800 per meter. He wants to fence 3 4 of the perimeter of the garden
and leave the remainder unfenced for an entrance. The perimeter of the garden is 45 metres. The
garden will be used to grow trees and each tree will occupy 2𝑚2 of space of the garden

Task

a) Determine the cost of fencing the garden b) Work out the total number of trees that can be
planted in the garden

Question 7

Your sister, Mercy works in one of the non-governmental organizations in Uganda. She is paid a
monthly salary of UGX8800000. Your sister decides to invest a portion of her total savings in a fixed
deposit account that offers a simple interest rate of 5% per month. She invests 1 3 of her total
savings which amounts to UGX1400000. Mercy saves 30% of her monthly salary and uses the
remainder to pay school fees.

Prepared by Sam Ogwang Otema (0750900271)

Task

a) Determine the amount of money she withdraws from the fixed deposit account after 4 years. b)
Work out her total savings in 2 years.

Your aunt is planning to enroll you in a boarding school for your O-level education. She has a budget
of Shs 5,000,000 for your school expenses. To visit the school, she decides to take a boda-boda. The
boda-boda travels 3 km west from your home to the main road, then 4 km south to reach the
school. However, you later realize there's a shortcut path that leads directly from your home to the
school. Upon reaching the school, your aunt learns that the school fees are Shs 3,000,000, boarding
fees are Shs 1,500,000, and the cost of school supplies is Shs 500,000. Fortunately, the school oers a
scholarship program. Students with excellent primary school leaving exam results receive a 50%
discount on school fees, a Shs 200,000 reduction in boarding fees, and a Shs 150,000 voucher for
school supplies. You are

S.4 Virtual Seminar c

eligible for this scholarship based on your outstanding performance. The school also oers two
payment options for school fees: • Option 1: Two Installments - Pay two-fths of the school fees at
the beginning of the term and the remaining balance before the midterm exams. • Option 2: Four
Installments - Pay equal amounts at the beginning of the term, before midterm exams, after
midterm, and before nal exams.

Task:

(a) What is the distance from your home to the school using the direct path?

(b) i. Considering the scholarship, calculate the total amount your aunt will pay for your school
expenses.

ii. Can your aunt aord the school expenses based on her budget?

(c) i. For those paying the full school fees amount, calculate the amount paid per installment for
each payment option.

ii. Which payment option would you recommend and why?

DATA AND PROBABILITY

9. In a school survey, 200 students were asked about their internet usage habits. They were asked to
choose from three activities: Social Media (like Facebook and TikTok), Academic Work (such as
research and homework), and Playing Games. The results showed that 165 students use the internet
for Social Media, 130 use it for Academic Work, and 100 use it for Playing Games. Among them, 70
students use it for both Social Media and Academic Work only, 60 use it for both Social Media and
Playing Games, and 50 use it for both Playing Games and Academic Work. Additionally, no students
exclusively use the internet for playing games. Now, the school needs to decide whether to set rules
if more than 60% of students spend their internet time on Social Media.

Task:

(a) Calculate how many students use the internet for at least one of these activities.

(b) Determine how many students don't use the internet at all.
(c) Estimate the percentage of students who use the internet solely for Academic Work.

(d) Based on the ndings, advise the school on whether to implement rules or not.

10. A certain company in Kampala is analyzing the optimal departure time for its 40 employees to
ensure they reach home by 6:00 PM, minimizing their commute time and avoiding peak tra-c
congestion. The company conducts a survey to track the times employees typically arrive home after
work, measured in minutes past 5:00 PM.

15 20 25 30 35 40 45 50 55 60 65 70 75 20 25 30 35 40 45 50 55 60 65 70 75 80 25 30 35 40 45 50 55
60 65 70 75 80 30 35

S.4 Virtual Seminar c

Task:

(a) Based on calculations using the collected data, suggest an optimal departure time for employees
to begin their commute home.

(b) Following advice to allow employees to leave work when at least 50% of them have already
arrived home, determine the optimal departure time.

(c) As the company management, which of the two suggested departure times from (a) and (b)
would you choose to ensure employees reach home by 7:00 PM, and why?

Item 4 You are going to host some friends for a movie night. You have four options you can choose
from: C= comedy, A= animation, M= musical, R= romance. You decided to ask them which one they
would love to watch so that you choose one that is preferred by most of them. Below where their
preferences:

C A A R R M M C M R C R R M A A R M
A A R A R R R.

TASK: a) Summarize your data. b) Represent your data. c) Which movie will you choose to show
your friends?

11. A baker is preparing for a local community event. She needs to bake several types of cakes,
however she has to ensure she has the correct quantities of ingredients for each. Below are the
types of cakes she plans to bake and their required quantities of ingredients: • Chocolate Cake:
Requires 3 cups of our, 2 cups of sugar, 4 eggs, and 1 cup of mixed ingredients per cake. • Vanilla
Cake: Requires 4 cups of our, 3 cups of sugar, 3 eggs, and 2 cups of mixed ingredients per cake. •
Red Velvet Cake: Requires 5 cups of our, 2 cups of sugar, and 1 cup of mixed ingredients per cake. •
Lemon Cake: Requires 2 cups of our, 2 cups of sugar, 3 eggs, and 1 cup of mixed ingredients per
cake.

The baker has been asked to bake a total of 10 Chocolate Cakes, 8 Vanilla Cakes, 6 Red Velvet Cakes,
and 5 Lemon Cakes. Task:

(a) Form a matrix to show the quantities of ingredients required for each type of cake.

(b) She wants to calculate the total quantity of each ingredient she will need for the event. Help the
baker using your knowledge of matrix multiplication.

(c) If each kilogram of our goes for UGX 8000, each kilogram of sugar goes for UGX 5000, and each
egg goes for UGX 300, and a cup of mixed ingredients goes for UGX 6000. Find out how much she
will spend on making the cakes considering that each cup with the ingredient weighs 250grammes.

12. A layer chicken farmer decided to weigh a sample of 800 eggs on his farm and classify them
according to their mass (m grams) to optimize the packing process. The frequency distribution of the
egg masses is as follows:

Mass in grams Number of eggs 40−44 36 45−49 142 50−54 286 55−59 238 60−64 76 65−69 22 8 S.4
Virtual Seminar c
2024 All Rights Reserved

The farmer's plan is to pack eggs in given weights. Task:

(a) Determine the median mass of an egg from the given frequency distribution to understand the
central tendency of the egg weights.

(b) What would be the percentage of eggs which would be classied as large(over 62 grams)

(c) The farmer plans to pack eggs that weigh over 62 grams, with each pack containing 12 eggs. If
each pack costs UGX 12,000, calculate the total revenue the farmer will earn from selling all the
large eggs and compare the revenue earned from selling the same eggs to a middle man who he is
buying at UGX 9000.What advice will you oer to the farmer.

13. In preparation for the upcoming national voter registration drive in Uganda, the Electoral
Commission needs to determine the optimal opening time for registration centers across various
districts. This decision aims to facilitate maximum voter registration and ensure e-cient processing of
the data of the citizens eager to participate in the upcoming elections. Here are the arrival times of
citizens at a sample voter registration center in minutes past the scheduled opening time (8:00 AM):

11 66 21 88 33 67 41 45 47 41 27 62 32 43 31 34 66 20 21 36 26 75 80 45 12 44 58 48 42 38 56 63 68
24 21 65 68 63 72 38
Task:

(a) Based on calculations using the collected data, suggest an opening time for voter registration
centers.

(b) Following advice to open registration centers when at least 50% of expected citizens have
arrived, determine the opening time.

(c) As the Electoral Commission of Uganda, which of the two suggested opening times from (a) and
(b) would you choose, and why?

Item 6 Your facilitator gathered information on the ages of some few learners in the school from
different classes. Below are his records: 14 15 16 17 18 21 18 17 15 16 21
21 17 14 18 15 17 17 15 16 21 18 18 21 17 15 14 21 16 17 16 21
16 15 16 21 17 18 16 17 21 18 15 17

TASK: a) In which other way can the facilitator record the information above such that even
another person looking at it can easily tell the number of learners in each age group? b) Illustrate
your suggestion in (a) above. c) State which age are the majority of the learners in the school. d)
Your facilitator wants to sell either cartoon stickers or stickers for different singers in the school.
According to the above records, which stickers do you think will be suitable?

GEOMETRY AND MEASURES

14. Your relative, is planning to start a small bakery business and seeks your advice on nancial
matters related to her venture. She plans to invest a total of $10,000 into the business and wants to
understand the nancial implications of dierent nancing options. She has approached two money
lenders and she is asking for your input before she takes on the decision. Lender 1 : Your
relative ,wants to borrow UGX 50,000,000 from a local bank to purchase baking equipment. The
bank oers her two dierent repayment plans: • Option 1: Simple Interest - The loan is oered at an
annual interest rate of 20% and to be paid after 2 years.

S.4 Virtual Seminar c

• Option 2: Compound Interest - The loan is oered at an annual interest rate of 4% and is to be paid
after 2 years

Lender 2: Your relative is considering a hire purchase agreement with a bakery equipment supplier.
The total cost of the equipment is $5,000, and the hire purchase agreement species a down
payment of $1,000 followed by monthly payments of $400 for 24 months.The supplier will consider
a constant dollar rate at 1$ = UGX3,800

Task:

(a) Calculate the total repayment amount for each nancial option over the loan term and compare
them to determine which option would be more cost-eective for your relative bakery business.

(b) Analyze the monthly cash ow implications for your relative, under each nancing option,
considering her ability to manage operational expenses alongside loan repayments.

(c) Based on your calculations and analysis in (a) and (b), provide your relative, with a
recommendation on which nancial option would be optimal for her bakery business, taking into
account both total repayment amount and monthly cash ow considerations.

15. A group of tourists has just arrived at Entebbe International Airport in Uganda for a safari
adventure. They are interested in reaching the source of the Nile in Jinja. The touring company has
approximated the distance from Entebbe to Jinja to be about 94 km, which should take around 3
hours without tra-c, assuming an average speed of 30 km/h for the whole journey. Here are the
directions they are following: • From Entebbe Airport, travel north for 35 kilometers to reach
Kampala, the capital city. • From Kampala, head east on the Jinja highway. As they approached
Mukono, approximately 25 km from Kampala, the guide was alerted by a friend coming from Jinja to
change the route and use the Kayunga road due to an accident in Mabira. The driver changed the
route at Mukono and went in the northeast direction to Kayunga, approximately 45 km away. •
From Kayunga, they headed to Jinja on a bearing of 1300, which took them 1 hour and 44 minutes
as they enjoyed the scenery along the roadside.

Task

(a) Describe the direction from Jinja to Entebbe.

(b) How far is it from Mukono to Jinja using the direct route instead of the Kayunga route?

(c) How long does the journey from Entebbe to Kampala take?

(d) If each liter of fuel costs UGX 4900 and the car van consumes 1 liter per 10 km, how much fuel
and money would they have saved if there was no accident in Mabira?

(e) How much extra time did they spend on the road due to the detour, and wh

.ITEM BUS

Lwasa a prominent business man in Kiwenda Town wants to start Hardware in the town that is
valued at UGX 12.5 millions. He has saved 45% of the required amount with his local SACCO and
wants to top up the balance. However he has been approached by two money lenders Juma and
Saidi who lend their money according to the following conditions.

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JUMA SAIDI

He lends at a simple interest rate of per annum payable in 24 equal monthly installments

He lends at a compound interest rate of per

annum payable in 24 equal monthly installments

Mr. Lwasa wants to decide on which of the two money lenders to opt for.

TASKS:

(a) Help Mr. Lwasa find how much money he intends to borrow.

(b) Which of the two money lenders would you recommend Mr Lwasa to opt for? (c) Having
selected for Mr Lwasa the right money lender how much does he pay per installment?

(d) What will be the saving Mr lwasa would make if he had all the money at the start than going for
the loan from this money lender.

Four members of Gayaza Market order for produce from Namisindwa Village and the items are as
given below.

Allan bought one bag of posho, 5 bags of millet, 2 bags of sorghum and 2 bags of rice.

Bella bought 5 bags of posho, 3 bags of millet and 4 bags of rice.

Cate bought 4 bags of posho and 8 bags of rice.

Dorcus bought 3 bags of rice, 4 bags of sorghum, 3 bags of millet and 2 bags of posho.

The cost per bag of the items bought was: Rice at , sorghum at
, millet at , posho at .

TASK:

(a) Assist the market members to summarize the above in matrix form for the:

(b) Using your knowledge of matrix multiplication help the members to know how each shall spend
on their purchases, and hence find the total cost for all the four venders.

(c) If the sales for the four market Venders was and agreed to share the money amongst Allan, Cate,
Bella and Dorcus in the ratio the ratio respectively. Help the members to determine how each
take and represent the information on a pie chart

ITEM 5 At school you are requested to use a piece of wood to create a rectangular photo frame with
a circular space in it where the photo will be put. Your parents have no money to buy you a new
piece of wood but you have a piece of wood that is in shape of a parallelogram. Two of its angles are
made up of an obtuse angle and two of them are made up of an acute angle. One of the sides is 6cm
and the other 4cm.

TASK: Illustrate accurately how you will cut the piece of wood you have to create what the teacher
assigned you to do clearly showing and labelling the:

a) Obtuse and acute angles of the piece of wood you have.

b) The length and width of the rectangular piece of wood you will be able to cut out of the wood.

c) The circular space.