B3. In the forklift's fuel tank, there are initially 62 liters of fuel. The forklift consumes 15 liters of fuel per hour.
A. $\mathrm{Z}$ With the forklift, they have been moving pallets for 3 hours and 20 minutes. How much fuel is left in the tank after this?

B. The tank has the shape of a rectangular prism with dimensions $0.7 \mathrm{~m}, 30 \mathrm{~cm}$, and $400 \mathrm{~mm}$. Calculate its volume in $\mathrm{dm}^3$.

C. In the morning, the warehouse has 635 pallets of products. With the forklift, they load and transport 18 pallets every twenty-four minutes. How many pallets of products will remain in the warehouse at the end of an eight-hour workday?

## 19th Mathematics Knowledge Competition for Vocational School Students  National Competition, April 13, 2019

## Problems for 3rd Year

Time for solving: 90 minutes. In section A, we will award two points for a correct answer, while we will deduct half a point for an incorrect answer. Enter your answers for section A in the left table. In section B, we will award up to seven points for a correct answer.

| A1 | A2 | A3 | A4 | A5 | A6 | A7 | A8 |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
|  |  |  |  |  |  |  |  |


| B1 | B2 | B3 |
| :--- | :--- | :--- |
|  |  |  |
B3. The volume of the reservoir is $V=a b c=(7 \cdot 3 \cdot 4) \mathrm{dm}^{3}=84 \mathrm{dm}^{3}$.

$\mathrm{V}$ in three hours and 20 minutes, the forklift consumes $3 \cdot 15+5=50$ liters of fuel. 12 liters of fuel remain in the reservoir.

$\mathrm{Z}$ with the forklift, every $24 \mathrm{~min}=0.4 \mathrm{~h}$, 18 pallets are loaded, which means that in $8 \mathrm{~h}$, 360 pallets are loaded. 275 pallets remain in the warehouse.

A. Calculated fuel consumption in 3 hours and 20 minutes: 50 l........................... 1 t

Calculated amount of fuel remaining in the reservoir: 12 l. .................................................

B. Calculated volume in any spatial unit ............................ $\mathbf{t}$

and the result $V=84 \mathrm{dm}^{3}$. ........................................................................

C. Calculated number of pallets loaded in 8 hours: $360 . \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \ldots$ t

![](https://cdn.mathpix.com/cropped/2024_06_07_bbf95781e2fd378a6604g-07.jpg?height=54&width=1488&top_left_y=2343&top_left_x=364)

## 19th Mathematics Knowledge Competition for Vocational School Students National Competition, April 13, 2019

## Solutions and Scoring Guide for 3rd Year

A competitor who arrives at the solution by any correct method (even if the scoring guide does not provide for it) receives all possible points.

A correct method is considered any procedure that

- sensibly takes into account the wording of the problem,
- leads to the solution of the problem,
- is mathematically correct and complete.

$V$ in the table, the correct answers to the multiple-choice questions are recorded. Each correct answer is scored with 2 points, an incorrect answer with $-0.5$ points, and if the question is not answered, 0 points.

| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| B | E | B | A | B | D | C | D |