School

A manager of a company organised a sales promotion in several market centres and a fundraising event to support community projects.

The sales promotion involved 48 female workers and 60 male workers. The workers were divided into the greatest possible number of equal teams, with each team having the same number of female workers and the same number of male workers.

The number of market centres visited was equal to the number of teams formed. The company's sales before the promotion were Shs32,000,000. After the promotion, sales increased by 25%.

During the fundraising, the Board of Directors contributed Shs12,000,000. The company staff contributed half the amount contributed by the Board, while the sales promotion team contributed 0.05 of the increased sales.

The total funds collected were donated to community schools and charity organisations in the ratio 3:5, respectively.

Task:

1. Determine the greatest number of equal teams that could be formed.
2. Find the number of female and male workers in each team.
3. Determine the number of market centres visited.
4. Calculate the amount by which the company's sales increased.
5. Determine the total amount donated to: (i) community schools; (ii) charity organisations.

Nalwoga owns a right-angled triangular garden whose base is 40 m and whose height is 25 m. She plans to expand the garden by increasing both the base and height by the same number of metres without changing its shape.

She wants the area of the expanded garden to be 375m² greater than its original area so that she can grow more crops.

Nalwoga buys 30 kg of seeds from a supplier for Shs480,000. This amount includes the cost of the seeds and a fixed transport charge. When she buys 50 kg of seeds, the total cost is Shs680,000.

Her neighbour has Shs580,000 to spend on seeds and transport from the same supplier. She wants to determine how many kilograms of seeds she can buy.

Task: (a) Determine:

1. the original area of the garden
2. the number of metres by which each dimension should be increased
3. the new base and height.

(b) Determine:

1. the cost of one kilogram of seeds
2. the fixed transport charge
3. form an equation for the total cost of purchasing x kilograms of seeds.

(c) Calculate the number of kilograms of seeds the neighbour can buy with Shs580,000.

A road that connects Mbale City and Sironko in Eastern Uganda is curved modeled by the equation; y = x² - 8x + 30. However, there is a straight marram road modeled by the equation; y = -3x + 30, that connects two bus stop points that are on the road. A construction company has been contracted to expand and tarmac this straight road so that some small vehicles can be passing there. Mbale city council executive allocated shs 240,000,000 in this financial year for expanding and tarmacking it.

The construction company charges a fixed rate of shs 10,000,000 plus shs 15,000,000 for each kilometre.

Task: By illustrating these two roads for (0 ≤ x ≤ 7), help Mbale city council executive to ascertain whether the money allocated will be enough to work on the road.

In preparations for a sports competition, Mr. Ronnie was contacted. He is a coach who provides training services in certain schools. He charges a fixed pay plus an additional fee depending on the number of hours he trains in a given day.

Two students, Amina and Brian, plan to buy scholastic materials from the same shop.

Amina intends to buy 5 exercise books, 6 pens and 4 rulers, while Brian intends to buy 7 exercise books, 4 pens and 5 rulers.

The prices of the materials are: each exercise book costs Shs2,500, each pen costs Shs800 and each ruler costs Shs1,200.

Their parents have asked them to organize the quantities and prices of the materials in rows and columns using matrices. They also want each student to calculate the money needed to buy twice the quantity of each material originally planned.

At the shop, there is a promotion in which customers can win a pen or a ruler. A box contains 8 papers labeled 'pen' and 4 papers labeled 'ruler'. A customer picks two papers at random, one after the other, without replacement. The customer wins a pen if both papers are labeled 'pen' and wins a ruler if both papers are labeled 'ruler'.

Task:

1. Represent the quantities of materials required by Amina and Brian in a matrix.
2. Represent the prices of the materials in a column matrix.
3. Determine the total cost of the materials each student intends to buy.
4. Calculate the amount of money each student should request from their parents to buy twice the original quantities.
5. Determine the probability of winning: (i) a pen; (ii) a ruler; (iii) either a pen or a ruler.

A surveyor is tasked with determining the height of a building in a new development area. From a certain point on the ground, the angle of elevation to the top of the building is 60°. As the surveyor moves 50 metres towards the building, the angle of elevation becomes 75°. The surveyor must calculate the height of the building to ensure compliance with local regulations, which stipulate that the height of a normal building should not exceed 165 metres.

After completing the building survey, the development company decided to create a beautiful garden around the building. A triangular flower bed with vertices A(2, 3), B(4, 5), and C(6, 2) will undergo the following transformations:

The original triangle will be reflected across the y-axis (vertical line) to form a triangular swimming pool.

The triangular swimming pool will then be enlarged by a scale factor of 2 using the centre (-4, 0) to create a resting area for children.

The triangular resting area for children will finally be rotated through 180° about the origin to create a unique seating area in the garden.

Task:

1. Will the building comply with the local regulations? Justify your response.
2. What are the coordinates of the:
   • triangular swimming pool?
   • triangular resting area for children?
   • unique seating area in the garden?

Mark was newly hired by a certain art gallery. One of the art pieces in the gallery was shifted 8ft right and 3ft up from its initial position. In the new position, the coordinates of the vertices on a grid in ft are A(10, 5), B(14, 5), C(14, 9) and D(10, 9). He was instructed to shift it back and hence needs to know the coordinates of the initial position.

The company promised him a gross pay that is to include allowances of Shs100,000. The company is also to deduct income tax worth Shs67,000, following the tax bands below:

• 0-150,000 : Nil 0%
• 150,001-250,000 : 5%
• 250,001-350,000 : 15%
• 350,001-500,000 : 18%
• 500,000 and above : 20%

He wishes to determine the monthly net income he is to be paid every month.

Task:

1. On which coordinates will Mark shift the painting to?
2. How much will he receive as net pay every month?

At Bright Futures High School, a team of learners involved in cocurricular activities are part of various clubs. Among them: 40 are members of the Photography Club, 20 take part in both the Photography and Debate Clubs. 18 are involved in both Debate and Robotics Clubs, 14 are engaged in Robotics and Photography Clubs only, 4 students are not part of any club. A total of 44 students are involved in at least two of the three clubs. 24 students are in only one club. 22 students take part in either Robotics or Photography, but not Debate.

The school management is considering setting up a shared activity room to support both Debate and Robotics Clubs, on condition that at least 60% of the students are involved in these two clubs.

Meanwhile, a training seminar has been scheduled for learners in Masindi, which is 240 km from Mityana. A truck carrying essential materials sets off from Mityana at 7:45 am, travelling at a steady speed of 40 km/h. Later, a van transporting the learners departs from the same place 1½ hours after the truck, moving at a steady speed of 60 km/h.

Task:

1. Should the school construct the shared activity room? Give a clear justification based on the data provided.
2. (i) Which vehicle arrives first in Masindi? (ii) Calculate the difference in their arrival times.

The school population is 1600 students but the facilitators selected ¼ of the total population to participate in the activities, and these were divided into groups of boys and girls in the ratio of 7:5 however on that day 5% of the chosen girls were to attend an event outside school so they were going to be absent, to identify a learner the attendance record system records their IDs in quaternary base but it has to be converted to decimal base so as to determine their seat number, a girl whose ID number is 213 was identified as absent, they need to determine her seat number.

Task:

1. What time will the timekeeper ring the bell as instructed?
2. Determine the number of girls that were to be absent
3. What was the seat number of the absent girl whose ID was identified?

At a research laboratory there has been a study of the growth of bacteria in a nutrient solution, the number of bacteria has been found to be follow the pattern given by N = at² + bt + c where N is the number of bacteria after t hours. At the start of the experiment there are 20 bacteria, after 2 hours there are 35 bacteria and after 5 hours there are 80 bacteria, they need help to form the equation that will help them to determine the time it will take to get 200 bacteria.

In another section of the laboratory, scientists are researching the growth of another bacteria in a nutrient solution. At the start of the experiment, there is an unknown number of bacteria, after one hour their population had increased by 8000 due to reproduction, the new population is then transferred to another solution which tripled their number.

They need help to form a function that represents the increase in bacteria after one hour and another function that represents the effect of transferring the bacteria to the new solution from which they will form one function that will be used to determine the final population after the two stages if they start with an initial population of 4000 bacteria.

Task:

1. Form a system of equations using the information given hence write the general equation that models the number of bacteria after a given time t in this experiment.
2. How much time will be needed for the bacteria to grow up to 200 in the nutrient
3. (i) Form the functions that they need. (ii) Form the combination of the functions and use it to determine the final population of bacteria if the initial population is 4000.

A company that makes water pipes has received a special order to make 33 hollow plastic pipes that are to be used for irrigation system at a farm, the client has given them the specifications of the pipes they want, a pipe should have an external radius of 7cm, an internal radius of 5cm and a length of 3m,

The production manager estimates that the cost of material to be used is shs10,000 per litre of melted plastic needed and that the paint to be coated on the outer curved surface costs shs35,000 per square meter

They need to determine the minimum cost of melted plastic that will be needed and the total production cost for the order which is to be used by the accounts section which adds a 20% profit margin to determine the amount they will charge the client.

Task:

1. determine the minimum cost of melted plastic that will be needed for the order.
2. What will be the total production cost that will be submitted to the accounts section.
3. How much will the accounts section charge the client.

Francis has recently purchased a piece of land on the outskirts of Mbarara City, where he plans to construct rental houses. Before construction begins, he hires a licensed land surveyor to mark reference points for the boundaries, access road and drainage channel.

Three permanent boundary beacons are established at points O, A and B, forming a triangular section of the land. The position vectors of A and B relative to O are OA = a and OB = b respectively.

To assist with planning the drainage channel, the surveyor marks point C at the midpoint of OA and point D at the midpoint of AB. He then marks point E on BC such that BE:EC = 2:1

The surveyor claims that points O, D and E lie on the same straight line, allowing a straight drainage channel to be constructed through the plot. Francis decides to verify this claim mathematically before paying the surveyor.

Francis is also a trained electrician who is preparing an installation plan for a newly constructed classroom block. On the original floor plan, three light fittings are positioned at X(3,2), Y(-1,1) and Z(-3,-1).

To accommodate a revised classroom layout, the original plan is rotated through a positive quarter turn 90° anticlockwise about the origin. Later, the architect requests an enlarged drawing of the original plan using a scale factor of 3, with the origin as the centre of enlargement.

Task:

1. Express the vectors BE, OE and BD in terms of a and b.
2. Determine whether points O, D and E are collinear. Hence, advise Francis on whether the surveyor's claim is correct.
3. Determine the coordinates of the light fittings: (i) X', Y', Z' (ii) X'', Y'', Z''

A school plans to construct a circular flower garden with centre O and radius 7 m. Two points A and B are marked on the boundary of the garden such that the angle AOB is 120°.

A security camera is to be installed at point C on the major arc AB facing points A and B. The school also plans to construct a straight footpath from an external point P that touches the garden at point B. The distance from P to the centre O is 25m.

The school engineer wants to determine the angle covered by the camera and the length of the footpath before construction begins.

Task: As a mathematics learner, help the school engineer to know the necessities before construction.

At Kololo SSS, S3 learners collected specimens around the school compound for a Biology project. They found a mushroom, a fern, a bean plant, a spider, a cockroach, and a lizard.

The learners are confused about how to group these organisms into kingdoms and classes using observable features. The teacher asks them to use the five kingdom system and the characteristics of Arthropoda to classify the specimens correctly.

Task:

1. Classify each specimen into its correct kingdom.
2. Using observable features, distinguish the spider from the cockroach.
3. Advise the learners on the importance of classification in sustaining biodiversity.

Nalwoga in Wakiso grows tomatoes. At the start of the season, the ministry supplied a new variety of tomato seeds under PDM. After 3 weeks, she noticed yellowing leaves, stunted growth, and her plants in a shaded part of the garden performed poorly compared to those in open sunshine.

Her extension worker tested a leaf from the healthy plant for starch and found it positive, while the yellow leaf tested negative.

Task:

1. Explain why the shaded plants performed poorly.
2. Describe an experiment to show that chlorophyll is necessary for photosynthesis using variegated leaves.
3. Advise Nalwoga on three conditions she can improve to increase her tomato yield.

Mr. Murushid is a farmer in Mityana. He ringed (removed a bark ring) a mango tree branch intending to induce early flowering. Two weeks later the upper part above the ring swelled and had many fruits, but after a month the branch dried and died.

Task:

1. Explain why the part above the ring swelled and had many fruits.
2. Explain why the upper and lower parts of the branch eventually dried and died.
3. State the significance of the ringing experiment in transport in plants.

Senior Three learners of Bright Futures High School visited a farm on a hilly place near a dusty marram road. The soil was loose, light-coloured, did not retain water and crops were wilting quickly.

They collected soil samples A, B, C and carried out experiments on water retention, air content and humus content.

Task:

1. Identify the type of soil in the farm based on the description.
2. Explain how you would carry out an experiment to determine the water retention capacity of soil samples.
3. Advise the farmer on three ways to improve this soil for better crop production.

Badru is a pumpkin farmer in Kitumba village. During a long dry season characterized by high temperatures, much sunshine and dry windy conditions, the hairy pumpkin leaves would droop (bend downwards) and flower petals remained closed for a long part of the day but would straighten and open during early morning hours. Badru had a very poor yield.

Task:

1. Mention the process in the pumpkin plants that was affected by the condition experienced.
2. Describe how the conditions experienced affected the functions of the pumpkin plants which led to poor yields.
3. Explain how leaves are adapted to reduce water loss during such dry conditions.

An assistant in the biology laboratory is looking for a housefly, cockroach, mosquito, termite, bee and butterfly for S3 practical examinations. Learners need to know where to find them and how to identify each insect with a unique structural feature.

Task:

1. Advise him on where he can find each insect in the environment.
2. Using observable features, explain how you can identify a cockroach from a housefly.
3. Explain two ways insects are adapted to their habitats that make them successful.

At the school canteen, learners complained that the meals were not balanced. The menu had posho, beans, and soda. The school nurse reported cases of kwashiorkor, night blindness and scurvy among S1 learners. The Biology teacher collected samples of posho, beans, groundnuts and orange juice to carry out food tests.

Task:

1. Carry out food tests to determine the nutrients present in each food sample.
2. Explain the cause of each of the deficiency diseases reported.
3. Advise the school on a balanced meal plan for the learners using locally available foods.

In Mbarara district, a community health worker is sensitizing teenagers about reproductive health. He explains that some girls miss their periods and face unplanned pregnancies because they do not understand the menstrual cycle and fertilization.

He presents a diagram of the female reproductive system showing ovary, oviduct, uterus and cervix.

Task:

1. Describe what happens during ovulation, menstruation and fertilization.
2. Explain why fertilization normally occurs in the oviduct and not in the uterus.
3. Advise teenagers on three methods of family planning and their importance.

In a family in Kampala, both parents have black hair but they have three children: two with black hair and one with brown hair. The parents claim that brown hair appeared from nowhere. The clan elders attribute it to a curse.

The Biology teacher explains that hair colour is inherited and uses symbols B for black (dominant) and b for brown (recessive).

Task:

1. Using a genetic cross, explain how the brown-haired child is possible.
2. What is the probability of the next child being brown-haired?
3. Explain to the family the difference between continuous and discontinuous variation using examples.

During inter-house sports at Kololo SSS, a sprinter heard the gun sound, started running, increased breathing rate and sweating. Later, some students were found abusing alcohol and smoking during the sports event and their reaction time became very slow.

Task:

1. Explain how the nervous system coordinates the response from hearing the gun sound to starting to run.
2. Describe how the body regulates breathing rate and sweating during exercise.
3. Explain the effects of alcohol and tobacco smoke on the nervous system and advise students on dangers of drug abuse.

In Kololo SSS laboratory, S3 learners sprayed perfume at one corner of the closed lab. After 2 minutes, all learners in the lab could smell it. When potassium permanganate crystals were put in a beaker of water without stirring, the purple colour slowly spread.

Task:

1. Explain why the perfume was smelt throughout the lab.
2. Describe an experiment to demonstrate diffusion in liquids.
3. Explain how temperature affects the rate of diffusion using particle theory.

At home, Nalwoga mixes sand and salt, boils water with tea leaves, and her brother separates iron filings from sulphur powder using a magnet. Her mother says air is a mixture but water is a compound.

Task:

1. Classify sand and salt mixture, tea and iron filings and sulphur as element, compound or mixture.
2. Describe how Nalwoga can obtain pure salt from sand and salt mixture.
3. Explain why air is considered a mixture and water a compound.

A farmer in Masaka has low crop yields. Soil tests show the soil is highly acidic (pH 3.5). Crops like beans do not grow well. The agricultural officer advises adding agricultural lime (CaO) and using NPK fertilizer.

Task:

1. Explain what is meant by acidic soil and how pH is measured.
2. Explain the reaction that occurs when agricultural lime is added to acidic soil.
3. Advise the farmer on two other methods to manage soil acidity and importance of maintaining neutral pH.

In Mbarara, people use borehole water which does not form lather easily with soap and leaves white deposits on kettles. When the water is boiled, it forms lather easily. The district water officer says the water has temporary hardness due to calcium hydrogen carbonate.

Task:

1. Explain what is meant by hard water and temporary hardness.
2. Describe how you can remove temporary hardness by boiling and by chemical method.
3. Explain two disadvantages of hard water and how to conserve water at home.

S3 learners were given cards with elements: Na (11), Mg (12), Al (13), Si (14), P (15), S (16), Cl (17), Ar (18). They noticed a trend in atomic size, metallic character and reactivity across the period.

Task:

1. Arrange the elements in order of the periodic table and state the group and period for Na, Cl and Ar.
2. Explain the trend in atomic radius and metallic character across the period from Na to Ar.
3. Predict how Na and Mg would react with cold water and write equations.

In Wakiso, families use charcoal, firewood, and some use biogas from cow dung. One family using charcoal in a poorly ventilated kitchen had a member faint due to carbon monoxide poisoning. Biogas users reported cleaner air.

Task:

1. Explain how charcoal burns in limited and in plenty supply of air with equations.
2. Explain why carbon monoxide is dangerous to human health.
3. Advise the community on advantages of biogas over charcoal and firewood.

Kololo SSS has rusted iron gates. The chemistry teacher wants to electroplate the gate with copper to prevent rusting. He has copper sulphate solution, copper rods and a battery.

Task:

1. Define electrolysis and state the products formed at anode and cathode when copper sulphate solution is electrolysed using copper electrodes.
2. Describe how you would electroplate an iron spoon with copper in the laboratory.
3. Explain two industrial applications of electrolysis in daily life.

A cook in the school kitchen adds salt to beans and cooks them quickly in a pressure cooker but beans cooked in an open saucepan take long. She also notices that small pieces of meat cook faster than large pieces.

Task:

1. Explain two factors that affect the rate of cooking which are similar to rate of chemical reactions.
2. Describe an experiment to investigate the effect of concentration on rate of reaction between marble chips and hydrochloric acid.
3. Explain why pressure cooker cooks food faster using concept of rate of reaction.

S3 learners carried out an experiment where they burned magnesium in air. They observed a bright white flame and a white powder. When they inverted a gas jar over a burning candle standing in water, the water level rose after the candle went off.

Task:

1. State what is observed and write equation for burning of magnesium in air.
2. Explain why water level rose in the gas jar experiment and estimate percentage of oxygen in air.
3. Describe two methods used to prevent iron from rusting in daily life.

In Bushenyi, farmers ferment banana juice to make local brew (tonto). After 3 days, bubbles are seen and the juice becomes alcoholic with a sharp smell. When distillation is done, a clear liquid with boiling point 78°C is obtained.

Task:

1. Explain the process of fermentation and name the enzyme and organism responsible.
2. Write a chemical equation for fermentation of glucose to ethanol.
3. Explain two uses and two dangers of ethanol to society and advise on responsible use.

A S3 learner at Kololo SSS bought 2 litres of cooking oil for his mother but was given 1.8 litres. The bottle was labelled 2kg. He has a spring balance, measuring cylinder and water at home.

Task:

1. Explain how he can use the measuring cylinder and balance to find out if he was cheated.
2. Define density and calculate the density of cooking oil if 2 litres has mass 1.84 kg.
3. Advise traders on importance of using standard measurements.

In Mbarara, Francis wants to pump water from a 12 m deep well to a tank on a 5 m high building using a pump. The tank holds 1000 litres of water. The pump is rated 1.5 kW. He wants to know if the pump can do the work in 10 minutes.

Task:

1. Calculate the total work needed to lift 1000 litres of water to the tank.
2. Calculate the power required to do this work in 10 minutes.
3. Advise Francis whether the 1.5 kW pump is sufficient and explain how to reduce energy wastage.

A farmer in Soroti uses a tractor with wide tyres to move in a garden without sinking. His wife uses a sharp knife to cut meat easily, while a blunt knife fails. A student carrying a backpack feels pain when straps are thin.

Task:

1. Explain why wide tractor tyres and sharp knives work using the concept of pressure.
2. Calculate the pressure exerted by a 60 kg student wearing shoes of total area 0.04 m² standing on the floor.
3. Advise on two applications of pressure in daily life.

In Wakiso, a mother cooks food using a charcoal stove with shiny aluminium walls. Houses in Gulu have iron sheet roofs that make rooms very hot during day and very cold at night. A thermos flask keeps tea hot for 12 hours.

Task:

1. Explain the three modes of heat transfer illustrated in the charcoal stove, iron roof and thermos flask.
2. Explain why the thermos flask keeps tea hot for long using its structure.
3. Advise builders on two ways to keep houses cool during hot season.

Francis, a trained electrician, is preparing installation for a newly constructed classroom block. A motorist uses a convex side mirror to see behind. A dentist uses a concave mirror to see teeth. Students use a magnifying glass to focus sunlight on paper.

Task:

1. Explain why a convex mirror is used as side mirror and a concave mirror by dentist.
2. A concave mirror of focal length 10 cm forms an image 30 cm from mirror. Calculate magnification.
3. Explain one danger of using concave mirror as solar concentrator.

During a school assembly, learners at the back hear the speaker's sound after 0.5 seconds. The distance from speaker to back is 170 m. In music club, a guitar string of length 60 cm produces sound of frequency 440 Hz.

Task:

1. Calculate speed of sound in air from the assembly observation.
2. Explain why sound is heard later at the back and how to improve sound in the hall.
3. Distinguish between longitudinal and transverse waves with examples.

Francis installs three light fittings X(3,2), Y(-1,1), Z(-3,-1) in a classroom. The fittings are 60W bulbs used 8 hours daily. The school pays Shs720 per unit (kWh). Wires sometimes overheat when many appliances are connected to one socket.

Task:

1. Calculate the total monthly energy consumption and cost for the three bulbs.
2. Explain why wires overheat when overloaded and how to prevent it.
3. Advise the school on two ways to save electricity.

A S3 project makes a simple electric bell and a DC motor for the science fair. They use a battery, copper coil, soft iron core, and permanent magnets. When current flows, the iron core attracts the striker and bell rings.

Task:

1. Explain how the electromagnet is made and why soft iron is used instead of steel.
2. Explain how electric current produces magnetic field in the bell and motor.
3. State two uses of electromagnets in daily life.

A truck carrying materials sets off from Mityana at 7:45 am, travelling at steady speed 40 km/h to Masindi 240 km away. A van leaves 1.5 hours later at 60 km/h. On reaching hilly section, the truck slows down due to friction and slope.

Task:

1. Which vehicle arrives first in Masindi? Calculate difference in arrival times.
2. Explain using Newton's laws why the truck slows down on hilly section and how seatbelts protect passengers.
3. Calculate stopping distance if van brakes with deceleration 5 m/s² from 60 km/h.

At a construction site, workers use a wheelbarrow to lift sand, a pulley to lift bricks to top floor, and an inclined plane to roll drums onto a truck. A boy uses a 3 m long plank to lift a 300 kg drum onto a 1 m high truck with effort 1200 N.

Task:

1. Identify the classes of levers in wheelbarrow and explain mechanical advantage.
2. Calculate efficiency of the inclined plane used by the boy.
3. Explain two ways of improving efficiency of simple machines.

Kololo SSS computer lab has 20 computers but 5 are not booting, 3 have dusty keyboards and loose RAM. The mouse on one computer moves erratically. The lab technician is asked to categorize hardware and fix minor issues.

Task:

1. Distinguish between input, output, storage and processing devices with two examples each from the lab.
2. Explain two possible causes why a computer may not boot and how to fix dusty RAM issue.
3. Advise the school on two preventive maintenance practices for the computer lab.

S3 learners submitted project reports named "report", "REPORT", "report.docx", "report(1).docx" all in one folder on Desktop. Some files were infected by virus from a flash disk. The teacher failed to find the correct file.

Task:

1. Explain the difference between system software and application software with examples.
2. Explain importance of proper file naming and folder organization demonstrated by the problem.
3. Advise learners on two ways to protect computers from virus spread via flash disks.

Francis is preparing an installation plan for a newly constructed classroom block. He needs to type a proposal with headings, table of three light fittings X(3,2), Y(-1,1), Z(-3,-1), page numbers and a table of contents for the head teacher.

Task:

1. Explain how to create headings, insert a table and insert page numbers in MS Word or Writer.
2. Explain importance of using table of contents and spell check in a formal document.
3. Advise on two features that make a document look professional.

The Director of Studies at Kololo SSS uses Excel to keep S3 Term 3 Mathematics Seminar marks for 48 students. She wants to calculate average, highest mark, count students who scored above 60% and create a chart for presentation.

Task:

1. Explain functions to use for average, maximum, count-if above 60% in a spreadsheet.
2. Explain how to create a bar chart to show performance per subject.
3. Advise on two ways spreadsheets help in school management.

S3 learners were given research on climate change. Some copied information from Wikipedia without citing. One learner received an email claiming she won $1,000,000 and should send her password. Another shared his location on Facebook to strangers.

Task:

1. Explain two advantages of internet for research and how to evaluate credible information.
2. Identify the type of cyber threat in the email and explain how to respond.
3. Advise learners on three online safety rules when using social media.

Kololo SSS wants to connect the administration block, computer lab and library (80 m apart) to share internet and printer. They have a choice between using cables (LAN) and using mobile hotspot.

Task:

1. Distinguish between LAN, MAN and WAN and advise which type the school should set up.
2. Explain two network devices needed (e.g., switch, router, access point) and their functions.
3. Explain two advantages and one disadvantage of sharing a printer on a network.

A teacher lost all S3 Biology marks when his laptop was stolen. He had no backup. Another learner's work was deleted by a classmate who guessed her password "1234". The school now wants to implement security measures.

Task:

1. Explain two methods of data backup and why backup is important.
2. Explain what makes a strong password and how to protect data with passwords.
3. Advise the school on two other data security measures apart from passwords.

S3 learners are to present about the circular flower garden with centre O and radius 7 m to the school engineer. They have photos, video clip and diagrams but the presentation has too much text on one slide and font size 10 which is not visible from back.

Task:

1. Explain three principles of good presentation design that the learners violated.
2. Explain how to insert images, video and apply transitions in PowerPoint or Impress.
3. Advise on two uses of presentation software in teaching and learning.

The attendance record system at Kololo SSS records learner IDs in quaternary base but converts to decimal for seat numbers. The school wants to create a database for 1600 students with fields: Name, Class, ID, Attendance. The clerk uses a flat file in Word instead.

Task:

1. Explain why a database (e.g., Access) is better than Word for managing 1600 students.
2. Define field, record, primary key using the students database example.
3. Explain how to query the database to find all S3 students absent on a day.

In Mbarara, Francis uses mobile money to pay for land survey. Farmers use drones to spray crops, and schools use AI chatbots to learn. However, some youths spend 10 hours daily on TikTok and face cyberbullying. The community worries about job losses due to automation.

Task:

1. Explain two positive impacts of ICT in agriculture, education and finance as shown.
2. Explain two negative impacts of ICT on youth and society.
3. Advise the community on responsible use of ICT and how to adapt to emerging technologies.

In Kololo SSS, S3 learners trace their clan origins. Some learners claim their grandparents migrated from Bahr-el-Ghazal, others from Ethiopian highlands due to drought, overpopulation and search for pasture. The Bantu settled in Buganda with fertile soils while Luo settled in Northern Uganda.

Task:

1. Explain four reasons for migration and settlement of ethnic groups into East Africa.
2. Describe the effects of Bantu migration on the Baganda.
3. How does migration today compare with early migrations in East Africa?

Before colonial rule, Buganda was a well-organised kingdom with a Kabaka, Katikkiro, chiefs, clans and a strong army. The kingdom had Lukiiko and collected taxes. Francis from Mbarara compares Buganda with his Ankole Kingdom.

Task:

1. Describe the political, social and economic organization of Buganda Kingdom.
2. Explain why Buganda was able to expand in the 19th century.
3. What lessons can modern Uganda learn from Buganda's system of administration?

In 1840, Arab traders from Zanzibar arrived in Buganda with cloth, guns and beads. They exchanged them for slaves and ivory. They built mosques in Tabora and introduced Islam. Chief Mirambo resisted them.

Task:

1. Explain why Arab traders came to East Africa and how the trade was organized.
2. Describe the effects of Long Distance Trade and introduction of Islam on Buganda.
3. Explain how Chief Mirambo and Kabaka Mwanga reacted to foreign influence.

In 1877, Church Missionary Society and White Fathers arrived in Buganda. They taught reading, built Mengo Hospital and schools. Later, they invited their home governments to colonize Uganda. In 1894 Uganda became a British protectorate.

Task:

1. Explain reasons why Christian missionaries came to Uganda.
2. Describe positive and negative effects of missionary activities in Buganda.
3. Explain why Uganda was colonized and how Ugandans reacted to colonial rule.

During colonial rule, the British introduced cash crops like cotton and coffee, built Uganda Railway from Mombasa to Kasese, and imposed hut tax and poll tax. Indians were brought to build the railway. Africans were forced to work on European farms.

Task:

1. Explain why the British introduced cash crops and forced labour in Uganda.
2. Describe the effects of colonial economic policies on Africans.
3. How did the construction of Uganda Railway change East Africa?

By 1950s, Ugandans formed political parties like UPC, DP and Kabaka Yekka to fight for independence. In 1962 Uganda got independence with Obote as Prime Minister and Kabaka Mutesa II as President. Nationalism grew due to World War II veterans and Pan-Africanism.

Task:

1. Explain four factors that led to rise of nationalism and independence in Uganda.
2. Describe the role of political parties in the struggle for independence.
3. What challenges did Uganda face immediately after independence?

After independence, Uganda experienced coups. In 1971, Idi Amin overthrew Obote. His rule (1971-1979) was characterized by killing, expulsion of Asians in 1972 and collapse of economy. Tanzanian army with UNLA overthrew him in 1979.

Task:

1. Explain why military coups occurred in Uganda after independence.
2. Describe the social and economic effects of Idi Amin's rule.
3. What lessons should Uganda learn to avoid military rule?

In 1967, Uganda, Kenya and Tanzania formed the first East African Community which collapsed in 1977 due to ideological differences and Idi Amin's policies. In 1999, it was revived to promote trade, free movement and common market. Today goods move from Mombasa to Kampala to Kigali.

Task:

1. Explain why the first East African Community collapsed in 1977.
2. Describe the objectives and benefits of the revived East African Community.
3. Explain three challenges facing East African Community today and suggest solutions.

During World War I and II, East African soldiers were recruited as porters and soldiers in Burma and North Africa. After returning, they demanded independence. In Mityana, a truck carrying essential materials sets off at 7:45 am, similar to how troops were transported during war.

Task:

1. Explain why East Africans participated in World War I and II.
2. Describe how World War II led to rise of nationalism in East Africa.
3. Explain the social and economic effects of World Wars on Uganda.

Since 1986, Uganda has had NRM government which introduced 1995 Constitution, restored cultural institutions, introduced UPE and USE. However, there are challenges of corruption, human rights abuses and electoral violence. At Bright Futures High School, 44 students are involved in at least two clubs demanding rights to participate in decisions.

Task:

1. Explain four features of 1995 Uganda Constitution and its importance.
2. Describe how democracy and human rights have been promoted since 1986.
3. Explain challenges facing democracy in Uganda and suggest solutions.

Francis has purchased land in Mbarara to construct rentals. He hires a surveyor to mark boundaries. However, he cuts down all trees, burns bushes and blocks the drainage channel, causing flooding to neighbours. The community elders say man was created to take care of creation.

Task:

1. Explain the Biblical teaching about man's creation and stewardship in Genesis 1-2.
2. Describe how Francis has failed as a steward of God's creation.
3. Advise Francis on Christian ways of caring for the environment.

At Kololo SSS, some S3 students steal Biology specimens, tell lies to teachers, and bully S1 learners. The chaplain says this behaviour started when Adam and Eve disobeyed God in the Garden of Eden, bringing sin into the world.

Task:

1. Describe the story of the Fall of man in Genesis 3.
2. Explain the consequences of sin to Adam, Eve and the human race today.
3. How should Christians overcome sinful behaviour in school?

Mama Nalwoga in Wakiso prays daily for a child but has waited 10 years. She is losing faith. The pastor encourages her using Abraham who waited 25 years for Isaac and was willing to sacrifice him.

Task:

1. Describe the call of Abraham and the promises God made to him.
2. Explain how Abraham demonstrated faith when asked to sacrifice Isaac.
3. What lessons can Christians learn from Abraham's faith in times of challenges?

In Uganda, some workers are underpaid, overworked and denied leave, like Israelites in Egypt under Pharaoh. The trade union leader in Mityana compares their situation to Israelites who cried to God and Moses was sent to liberate them.

Task:

1. Describe how Moses was called to liberate the Israelites from Egypt.
2. Explain the importance of Passover and Exodus events to Israelites and Christians.
3. How should Christians fight for justice and liberation of oppressed people today?

Before construction of rentals, Francis wants good leadership like King David but his surveyor gives false measurements to get more money, like King Saul who disobeyed God. The community wants a just leader who unites people.

Task:

1. Explain why Israelites demanded for a king and how Saul and David became kings.
2. Compare the leadership of Saul and David.
3. What qualities of good leadership can modern leaders learn from David?

During the fundraising for community schools and charity organizations in ratio 3:5, the manager discovers some board members diverted funds meant for charity to build their own houses. This reminds learners of Prophet Amos who condemned social injustice in Israel.

Task:

1. Describe the social evils Prophet Amos condemned in Israel.
2. Explain Amos' message about true worship and justice.
3. How should Christians fight corruption and injustice in Uganda today?

At Bright Futures High School, 40 learners are in Photography Club, 20 in both Photography and Debate, 18 in both Debate and Robotics. Some learners are selfish and do not share camera equipment, unlike the Good Samaritan who helped a stranger. The chaplain teaches about parables.

Task:

1. Explain why Jesus taught using parables and narrate the parable of the Good Samaritan.
2. Describe the lessons from the parable of the Good Samaritan.
3. How can learners apply the lesson of the Good Samaritan in school life?

In Mbarara district, a health worker sensitizes about reproductive health. Many people are sick, some with HIV, others with disabilities. The pastor says Jesus healed the sick, fed the hungry and showed compassion, and Christians should do the same.

Task:

1. Narrate one miracle of healing and one miracle of feeding by Jesus.
2. Explain what Jesus' miracles teach about His nature and mission.
3. How should Christians show compassion to the sick and needy in their community today?

During Easter, S3 learners at Kololo SSS watch a film about crucifixion of Jesus. Some fear death due to accidents on Mityana-Masindi road where a truck sets off at 7:45 am. The chaplain explains that resurrection gives hope beyond death.

Task:

1. Describe the events of crucifixion and resurrection of Jesus.
2. Explain the significance of resurrection to Christians.
3. How does Christian hope about life after death help believers facing fear and suffering?

After sports competition, some students abuse alcohol and drugs, leading to slow reaction time. Others quarrel and fight in dormitories. The chaplain says on Pentecost the Holy Spirit changed the apostles to live holy lives and bear fruits of the Spirit.

Task:

1. Describe the events of Pentecost in Acts 2.
2. Explain the fruits and gifts of the Holy Spirit.
3. How can the Holy Spirit help students overcome drug abuse and indiscipline?

Francis has purchased a piece of land on the outskirts of Mbarara City to construct rentals. The land has three beacons O, A, B forming a triangular section, with overgrown bushes, a small stream and a hill overlooking the city. He wants to advertise it for sale if construction fails.

Task:

1. Write a descriptive composition of 250-300 words describing the land Francis bought.
2. Use at least five adjectives and three similes to make the description vivid.
3. Identify the tense you have used and why descriptive writing uses it.

A manager organised a sales promotion with 48 female and 60 male workers divided into equal teams. Sales increased by 25% from Shs32,000,000. Funds were donated to schools and charity in ratio 3:5. One female worker, Atim, faced many challenges but emerged as best seller.

Task:

1. Narrate a story from Atim's perspective about how she succeeded in the sales promotion.
2. Use past tense, dialogue and chronological connectors (first, then, finally).
3. What moral lesson does your story teach about hard work?

Mr. Murushid, a farmer in Wakiso, acquired land on a hilly place near a dusty marram road. The soil is poor, crops are dying and his mango tree branch dried after ringing. He wants to write to the District Agricultural Officer seeking advice and support.

Task:

1. Write a formal letter to the District Agricultural Officer requesting advice on soil improvement and transport in plants.
2. Include correct format: address, salutation, subject, closing.
3. Write a brief report of the findings on his farm to be attached to the letter.

Read the passage below and answer questions: "In Mbarara, people use borehole water which does not form lather easily with soap and leaves white deposits on kettles. When the water is boiled, it forms lather easily. Deforestation has caused rivers to dry. Charcoal burning has increased carbon monoxide, causing fainting in poorly ventilated kitchens. Biogas from cow dung is cleaner..."

Task:

1. Why does borehole water not form lather easily and what happens after boiling?
2. Find synonyms for the words: deposits, ventilated, cleaner as used in the passage.
3. Summarize in 60 words the environmental problems mentioned and their solutions.

At Kololo SSS, S3 learners report: The head teacher said, "We will construct a circular flower garden with centre O and radius 7 m." The engineer said, "The footpath has been constructed by workers." A student said, "I have measured the angle AOB which is 120 degrees."

Task:

1. Change the head teacher's and student's statements into indirect speech.
2. Change the engineer's statement from passive to active voice.
3. Explain when passive voice is preferred over active voice in scientific reports.

At Kololo SSS computer lab, learners spend 10 hours daily on TikTok, face cyberbullying and copy Wikipedia without citing. Some received email scams claiming they won $1,000,000. Parents argue ICT should be banned in school while teachers say it is essential.

Task:

1. Write an argumentative essay for or against: "ICT should be banned in secondary schools."
2. Give at least three points with examples to support your argument.
3. Use linking words: however, furthermore, therefore, in conclusion.

At Bright Futures High School, 40 learners are in Photography Club, 20 in both Photography and Debate, 18 in both Debate and Robotics. The motion for debate is: "A shared activity room for Debate and Robotics Clubs should be constructed only if 60% of students are involved."

Task:

1. Write a debate speech for or against the motion, with introduction, three arguments and conclusion.
2. List three non-verbal skills you would use when presenting the speech.
3. Explain two effective listening skills for the audience during debate.

The Biology teacher described: "The pumpkin leaves drooped like tired children, the flower petals closed like folded hands, the dry wind howled through the garden, and the sun was a ball of fire in the sky."

Task:

1. Identify four figures of speech used in the description above.
2. Explain the meaning of each figure of speech and its effect.
3. Compose a four-line poem about drought using at least two figures of speech.

A company makes 33 hollow plastic pipes for irrigation, external radius 7cm, internal radius 5cm, length 3m. Cost of material is Shs10,000 per litre, paint Shs35,000 per m². They want to advertise their pipes and add 20% profit margin.

Task:

1. Write an advertisement for the company's irrigation pipes suitable for a newspaper.
2. Include features, uses, cost and contact information.
3. Write a notice to staff about the new order and production deadline.

Read the long text about bacteria growth: "At a research laboratory there has been a study of the growth of bacteria in a nutrient solution, the number of bacteria has been found to follow the pattern N = at² + bt + c where N is number after t hours. At start 20 bacteria, after 2 hours 35, after 5 hours 80, they need to form equation to determine time to get 200 bacteria. In another section, scientists research growth of another bacteria... increased by 8000, tripled..."

Task:

1. Summarize the text in 80 words focusing on main ideas only.
2. Give a suitable title for your summary.
3. Explain two qualities of a good summary.

Francis has purchased land on the outskirts of Mbarara City. The land has three beacons O, A, B forming a triangular section on a plateau with a small stream and a hill. In Mbarara, the land is part of Ankole plateau, while Mbale has Mt. Elgon and Sironko river.

Task:

1. Describe how plateaus, mountains and rivers in East Africa were formed.
2. Explain how relief features like plateau in Mbarara and Mt. Elgon affect human activities.
3. Explain two problems caused by relief and how to manage them.

A road connects Mbale City and Sironko in Eastern Uganda. Mbale is on windward side of Mt. Elgon receiving heavy rainfall (1500mm) supporting dense forest and banana growing. Mbarara in South Western Uganda receives less rainfall and has savanna grassland supporting pastoralism. During long dry season, hairy pumpkin leaves droop due to drought.

Task:

1. Explain why Mbale receives more rainfall than Mbarara using relief and winds.
2. Describe how climate influences vegetation in Mbale and Mbarara.
3. Advise farmers in Mbarara how to adapt to climate change and drought.

S3 learners are given a topographic map of Masindi area, 240 km from Mityana. The map shows Mityana-Masindi road, rivers, hills, settlement patterns. Scale is 1:50,000. A truck sets off from Mityana at 7:45 am at 40 km/h, van leaves 1.5 hours later at 60 km/h.

Task:

1. Calculate map distance between Mityana and Masindi if ground distance is 240 km.
2. Identify three physical and two human features shown on a topographic map.
3. Explain settlement patterns observed and factors influencing them.

Nalwoga owns a right-angled triangular garden base 40m height 25m. She wants to expand area by 375m². She buys seeds but soil is poor, loose, light-coloured, near dusty marram road, hilly, does not retain water. She grows tomatoes that yellow due to lack of nutrients.

Task:

1. Identify the type of soil in Nalwoga's garden and explain its characteristics.
2. Explain three causes of soil exhaustion and erosion on hilly land near marram road.
3. Advise Nalwoga on three methods to improve soil fertility and conserve soil on her expanded garden.

The school population is 1600 students but ¼ selected for activities. Kampala city near Kololo SSS has rapid population growth, slum development in Bwaise, traffic jam on roads modeled y = x² - 8x + 30. Rural youth migrate to Kampala for jobs. Population density in Kampala is 8000 people per km².

Task:

1. Explain four causes of rapid population growth and rural-urban migration in Uganda.
2. Describe problems of rapid urbanization in Kampala and suggest solutions.
3. Calculate population density if Kampala area is 189 km² with 1.5 million people and compare with given data.

A company makes 33 hollow plastic pipes for irrigation, external radius 7cm internal 5cm length 3m. Cost of material Shs10,000 per litre, paint Shs35,000 per m². In Tororo, limestone is mined for cement. In Jinja, industries cause air pollution and water pollution of River Nile.

Task:

1. Explain importance of limestone mining and cement industry to Uganda's development.
2. Describe problems caused by mining and industrialization in Jinja and Tororo.
3. Advise on sustainable mining and industrialization measures.

At a research lab, bacteria N = at² + bt + c pattern observed. Similarly, wildlife population in Queen Elizabeth National Park follows patterns. Francis plans rentals but cuts all trees causing habitat loss. Tourist road connecting Mbale and Sironko passes near Mt. Elgon National Park where tourists view elephants and waterfalls.

Task:

1. Explain importance of forests and wildlife conservation to Uganda.
2. Describe challenges facing forestry and tourism sectors in Uganda.
3. Advise government on two ways to promote eco-tourism while conserving environment.

A road connects Mbale City and Sironko modeled by y = x² - 8x + 30 curved, and straight marram road y = -3x + 30 for 0 ≤ x ≤ 7. Mbale council allocated Shs240,000,000, company charges Shs10,000,000 fixed plus Shs15,000,000 per km. Mityana to Masindi 240km truck at 40km/h van at 60km/h.

Task:

1. Calculate the length of straight road between bus stops and determine if money is enough.
2. Explain importance of transport and communication to development of Mbale and Sironko.
3. Describe problems facing transport sector in Uganda and suggest solutions.

A manager organised sales promotion in several market centres with 48 female and 60 male workers divided into greatest equal teams. Sales increased by 25% from Shs32,000,000. Board contributed Shs12,000,000, staff half board, promotion team 0.05 of increased sales. Funds donated to schools and charity ratio 3:5. Market centres visited equals number of teams.

Task:

1. Calculate total funds collected for donation and amount for schools and charity.
2. Explain importance of trade and market centres to development of an area.
3. Explain challenges facing trade in Uganda and how to overcome them.

East Africa faces climate change: long dry seasons, hairy pumpkin leaves drooping, poor yields. The East African Community (Uganda, Kenya, Tanzania, Rwanda, South Sudan, DRC) tries to promote regional trade, free movement, common market. However, border conflicts, different currencies and political differences hinder cooperation.

Task:

1. Explain causes and effects of climate change on agriculture in East Africa.
2. Describe objectives and benefits of East African Community for member states.
3. Suggest three solutions to challenges facing East African Community and climate change.