Set 1

A farmer builds a chicken coop with a height of $3 \text{ m}$ and a rectangular base area of $256 \text{ m}^2$. The walls of the coop are made of whole plywood panels that are not cut. The size of one plywood panel is $80 \text{ cm} \times 300 \text{ cm}$.

The width of the land available to build the coop is $7.5 \text{ m}$, and the minimum width so that the chickens do not experience stress is $5 \text{ m}$. The price of one plywood panel is $\text{Rp}40,000.00$. The cost to purchase panels with these conditions is ....

Rani has an empty rectangular plot of land behind her house measuring $1 \text{ m} \times 0.35 \text{ m}$ that can be planted with various types of fruit seedlings. Rani bought a package of fruit seedlings consisting of 2 strawberry seedlings, 1 orange seedling, and 4 mango seedlings for $\text{Rp}45,000.00$. Planting one strawberry seedling requires a land area of $10 \text{ cm} \times 5 \text{ cm}$, and planting one orange seedling requires twice the land area needed for one strawberry seedling.

It is known that planting one mango seedling requires a land area of $5 \text{ cm} \times 2.5 \text{ cm}$. If Rani wants to buy two packages of fruit seedlings and fertilizer for the land to be planted with seedlings at a price of $\text{Rp}100,000.00/\text{m}^2$, then the total amount of money Rani has to spend is ....

Mbox laptop store offers a $20\%$ discount for purchasing series $A$ laptops. Purchases at the store can be paid in monthly installments (with equal amounts, starting from the second month) with a simple interest of $6\%$ per year. The down payment required is at least $10\%$ of the initial price, and every subsequent minimum multiple will get an interest reduction of $1\%$ per year, up to a maximum of $2\%$ per year.

Juju buys a series $B$ laptop for $\text{Rp}20,000,000.00$ by installments. If Juju pays a down payment of $10\%$, the interest Juju has to pay per month is ....

Mbox laptop store offers a $20\%$ discount for purchasing series $A$ laptops. Purchases at the store can be paid in monthly installments (with equal amounts, starting from the second month) with a simple interest of $6\%$ per year. The down payment required is at least $10\%$ of the initial price, and every subsequent minimum multiple will get an interest reduction of $1\%$ per year, up to a maximum of $2\%$ per year.

In December 2024, Jeje bought a series $A$ laptop for $\text{Rp}12,000,000.00$ and paid in 15 installments with the minimum down payment to get the lowest interest rate. The amount of down payment Jeje has to pay is ....

Mbox laptop store offers a $20\%$ discount for purchasing series $A$ laptops. Purchases at the store can be paid in monthly installments (with equal amounts, starting from the second month) with a simple interest of $6\%$ per year. The down payment required is at least $10\%$ of the initial price, and every subsequent minimum multiple will get an interest reduction of $1\%$ per year, up to a maximum of $2\%$ per year.

In celebration of its 22nd anniversary, the store offers an installment plan without a down payment with the lowest installment interest rate. Jojo buys a series $A$ laptop for $\text{Rp}15,000,000.00$ by installments. So that Jojo's monthly installment is not more than $\text{Rp}600,000.00$, Jojo must pay in installments at least ... times.

Mbox laptop store offers a $20\%$ discount for purchasing series $A$ laptops. Purchases at the store can be paid in monthly installments (with equal amounts, starting from the second month) with a simple interest of $6\%$ per year. The down payment required is at least $10\%$ of the initial price, and every subsequent minimum multiple will get an interest reduction of $1\%$ per year, up to a maximum of $2\%$ per year.

At the annual special event, the store offers an installment program without a down payment, with the first, second, third, fourth, and subsequent monthly installments being $\text{Rp}2,000,000.00$, $\text{Rp}1,800,000.00$, $\text{Rp}1,600,000.00$, $\text{Rp}1,400,000.00$, and so on until zero rupiah for purchasing a series $B$ laptop priced at $\text{Rp}10,000,000.00$. With this purchase method, the price of the series $B$ laptop is ... percent more expensive compared to the initial price.

A farmer rents 3 types of tractors to plow his rice field. If only tractor 1 is used, it takes $3$ days to plow the field. If only tractor 2 is used, it takes $4 \frac{1}{5}$ days. Meanwhile, if only tractor 3 is used, it takes $3.5$ days. The rental price for tractor 1 is $\text{Rp}54,000.00$ per day, tractor 2 is $\text{Rp}27,000.00$ per day, and the rental price for tractor 3 is $\text{Rp}45,000.00$ per day. Tractor rental does not have to be for a full day with proportional costs.

If on the first day the farmer uses only tractors 1 and 3, the portion of the field that can be plowed by both tractors is ... part.

A cuboid-shaped cardboard box has a base perimeter of $6x \text{ cm}$ and a height of $\left(5 - \frac{1}{3}x\right) \text{ cm}$ where $x$ is a real number.

If the width of the box's base is $(4x - 5) \text{ cm}$, the length of the base is ... cm.

A cuboid-shaped cardboard box has a base perimeter of $6x \text{ cm}$ and a height of $\left(5 - \frac{1}{3}x\right) \text{ cm}$ where $x$ is a real number.

If the base of the box is rectangular with a width of $(4x - 5) \text{ cm}$ and $A$ is the set containing all real numbers $x$ that satisfy the dimensions of the cuboid, the correct set $A$ is ....

A cuboid-shaped cardboard box has a base perimeter of $6x \text{ cm}$ and a height of $\left(5 - \frac{1}{3}x\right) \text{ cm}$ where $x$ is a real number.

If the base of the box is rectangular with a width of $(4x - 5) \text{ cm}$ and $A$ is the set containing all real numbers $x$ that satisfy the dimensions of the cuboid, the maximum surface area of the box is ... $\text{cm}^2$.

A building construction project is completed in 50 working days with the help of 80 workers. Kardi, as one of the workers, makes a plaster mixture of cement and sand every day with a ratio of $1:5$. To assist Kardi's work, a truck is used to transport sand. The truck has a bed size with a length of $4 \text{ meters}$, a width of $2 \text{ meters}$, and a height of $1.5 \text{ meters}$. The sand delivered by the truck is purchased at a price of $\text{Rp}300,000.00$ per cubic meter.

The price of sand transported in one full truck bed is ....

A building construction project is completed in 50 working days with the help of 80 workers. Kardi, as one of the workers, makes a plaster mixture of cement and sand every day with a ratio of $1:5$.

To make the plaster material, the amount of cement required by Kardi to be mixed with $0.24 \text{ cubic meters}$ of sand is ... kg. (Use sand density $1,400 \text{ kg/m}^3$).

It is known that in a day Kardi can plaster 10 walls, while his colleague, Anton, can plaster 6 walls of the same size.

If Kardi and Anton work together to plaster 56 walls, the time required for both of them to complete the task is ... days.

A building construction project is completed in 50 working days with the help of 80 workers.

If the project is carried out by 64 workers assuming each worker has the same working ability, the project can be completed in ... days.

A building construction project is completed in 50 working days with the help of 80 workers.

If the project is to be completed in 40 days assuming each worker has the same ability, the number of additional workers needed so that the project can be completed as planned is ... people.

Consider the following apple mass table.

Ferdian and Belle are each collecting $6$ apples. The mass of the apples is shown in the table above. The average mass of apples collected by Ferdian is $3 \text{ grams}$ greater than the average mass of apples collected by Belle.

The value of $x$ is ....

Consider the following apple mass table.

Given that the value of $x$ is $180$. Based on the information above, determine whether each of the following statements is TRUE or FALSE. Order your answer from the first statement to the third.

1. $25\%$ of the smallest apples have a mass of $< 162 \text{ grams}$.
2. $25\%$ of the largest apples have a mass of $> 180 \text{ grams}$.
3. $50\%$ of the smallest apples have a mass of $< 170 \text{ grams}$.

Consider the following apple mass table.

Given that the value of $x$ is $180$. If they then exchange apples so that Ferdian carries the heavy apples and Belle carries the light ones, the difference in the mass of apples carried by Ferdian and Belle is ....

A coffee shop is known to be able to sell 200 cups of iced coffee in a normal day at a price of $\text{Rp}12,000.00$ per cup. After conducting various surveys, the coffee shop owner concludes that for every decrease in the price of iced coffee by $\text{Rp}1,000.00$, the number of iced coffees sold will increase by 20 cups per day. In order not to lose money, the minimum daily income of the shop is $\text{Rp}2,100,000.00$ to cover the shop's operational costs.

The number of iced coffees sold per day when the price of iced coffee becomes $\text{Rp}9,000.00$ is ....

A coffee shop is known to be able to sell 200 cups of iced coffee in a normal day at a price of $\text{Rp}12,000.00$ per cup. After conducting various surveys, the coffee shop owner concludes that for every decrease in the price of iced coffee by $\text{Rp}1,000.00$, the number of iced coffees sold will increase by 20 cups per day. In order not to lose money, the minimum daily income of the shop is $\text{Rp}2,100,000.00$ to cover the shop's operational costs.

If the shop owner wants to increase the number of iced coffee sales, but with the same income as a normal day, the number of iced coffees sold is ... cups.