MNHS Mathiniks Club

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓️

📢 The wait is over, MNHSians! It’s finally time to reveal the answer to last week’s "𝙈𝘼𝙏𝘼𝙇𝙄𝙉𝙊 𝙆𝘼 𝘽𝘼?" challenge! 🤩

Word Problem:

On a sunny day, a 4 meter tall light pole casts a 5 meter long shadow at the same time a nearby building casts a 15m long shadow.The sun rays strike both the building and the light pole at the same angle.

In this case find the height of the building.

Step by step solutions:
Using the triangle proportionality theorem

Length of building shadow: 15 meters
Height of the light pole: 4 meters
Length of light pole shadow: 5 meters

Let x be the building height

Building height/Building shadow. =. light pole height/Light pole shadow

X/15. = 4/5
Then cross multiply
5x = 60
Divide both side by 5
x = 12
So the building height is equal to 12 meters

Did you get it right? 🤗





🖼: Cassandra Velasco| PIO
✍️: Ivan Jasper | Auditor

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓️

📢 The wait is over, MNHSians! It’s finally time to reveal the answer to last week’s "𝙈𝘼𝙏𝘼𝙇𝙄𝙉𝙊 𝙆𝘼 𝘽𝘼?" challenge! 🤩

Word Problem:

A rectangular garden has an area of 48 square meters. Its length is 2 meters longer than its width.

What are the length and width of the garden? 🌱📐

Did your answer match the correct one? Let’s find out! 👇

Solution:

Let x = the width of the garden.

Since the length is 2 meters longer:

Length = x + 2

Using the formula for the area of a rectangle:

A = length × width

Substitute the given area:

48 = x(x + 2)

Expand:

48 = x² + 2x

Rearrange into standard quadratic form:

x² + 2x − 48 = 0

Factor:

(x + 8)(x − 6) = 0

Set each factor equal to zero:

x + 8 = 0
x = −8

x − 6 = 0
x = 6

Since a measurement cannot be negative, we use:

x = 6

Therefore:

Width = 6 meters

Length = 6 + 2 = 8 meters

✅ Final Answer: The garden is 8 meters long and 6 meters wide.

Did you get it right? 🤗





🖼: Cassandra Velasco | PIO
✍️: Vianca Noblejas | P.O

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓

📢 Show us what you’ve got, MNHSians!

Our weekly "𝙈𝘼𝙏𝘼𝙇𝙄𝙉𝙊 𝙆𝘼 𝘽𝘼?" is back! We challenge you to solve this week’s math word problem using your problem-solving skills. Are you up for the challenge? 🫵

🌱 A rectangular garden has an area of 48 square meters. Its length is 2 meters longer than its width.

What are the length and width of the garden?

Can you figure out the answer? 🤔

Drop your solution and final answer in the comment section below!👇 The official solution will be posted soon, so stay tuned and see if you got it right! 🥸





🖼: Cassandra Velasco| PIO
✍️: Vianca Noblejas | P.O

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓️

📢 The wait is over, MNHSians! It’s finally time to reveal the answer to last week’s "𝙈𝘼𝙏𝘼𝙇𝙄𝙉𝙊 𝙆𝘼 𝘽𝘼?" challenge! 🤩

Word Problem:
A 13-meter ladder is leaning against a vertical wall. The foot of the ladder is 5 meters away from the wall.

How high up the wall does the ladder reach? 🪜

Did your answer match the correct one? Let’s find out! 👇

Solution:
This problem forms a right triangle, where:
* The ladder is the hypotenuse (c = 13m)
* The distance from the wall is the base (a = 5m).
* The height up the wall is the unknown side (b = ?)

Using the Pythagorean Theorem:
a² + b² = c²

Substitute the given values:
5² + b² = 13²

Square each known value:
25 + b² = 169

Subtract 25 from both sides:
b² = 144

Take the square root of both sides:
b = 144 –> b = √144
b ‎ = 12

Therefore, the ladder reaches 𝟭𝟮 𝗺𝗲𝘁𝗲𝗿𝘀 up the wall.

Did you get it right? 🤗

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🖼: Cassandra Velasco| PIO
✍️: Beatriz Alingasa | Treasurer

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓

📢 Show us what you’ve got, MNHSians!

Our weekly "𝙈𝘼𝙏𝘼𝙇𝙄𝙉𝙊 𝙆𝘼 𝘽𝘼?" is back! We challenge you to solve this week’s math word problem using your problem-solving skills. Are you up for the challenge? 🫵

🪜 A 13-meter ladder is leaning against a wall. The foot of the ladder is 5 meters away from the wall.

How high up the wall does the ladder reach?

Can you figure out the answer? 🤔

Drop your solution and final answer in the comment section below!👇 The official solution will be posted soon, so stay tuned and see if you got it right! 🥸





🖼: Cassandra Velasco | PIO
✍️: Beatriz Alingasa | Treasurer

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓️

❗️It's time to reveal the long awaited answer from last week's "𝘔𝘈𝘛𝘈𝘓𝘐𝘕𝘖 𝘒𝘈 𝘉𝘈?" 🫢

Word Problem:
A 4-inch by 6-inch photograph was enlarged by increasing each side by the same amount. The new area of the photo is 168 square inches.

🧐 Did you identify how many inches was each dimension increased?
Scroll down to check your answer! 👇

Solution:
Let x = the amount each side of the photo is increased.

Then, x + 4 = the new width and x + 6 = the new length.

Since Area = length × width, the formula using the new area is
(x + 4)(x + 6) = 168.

Multiply using the distributive property on the left side of the equation then simplify:
(x + 4)(x + 6) = 168
x² + 6x + 4x + 24 = 168
x² + 10x + 24 = 168.

Subtract 168 from both sides and simplify:
x² + 10x + 24 − 168 = 168 − 168.
x² + 10x − 144 = 0.

Factor the trinomial:
(x − 8)(x + 18) = 0.

Set each factor equal to zero and solve:
(x − 8)(x + 18) = 0
x − 8 = 0
x = 8

x + 18 = 0
x = −18

Reject the negative solution because you can’t have a negative dimension. Therefore, each dimension of the photo is increased by 𝟴 𝗜𝗡𝗖𝗛𝗘𝗦.

Did you get it right? 🤗

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🖼: Cassandra Velasco | PIO
✍️: Ashley Jade Garcia | Vice President

𝗠𝗔𝗧𝗔𝗟𝗜𝗡𝗢 𝗞𝗔 𝗕𝗔❓️

📢 Show us what you got, MNHSians!

Our weekly "𝘔𝘈𝘛𝘈𝘓𝘐𝘕𝘖 𝘒𝘈 𝘉𝘈?" is back and going! We encourage you all to answer this following world problem below. Can you solve it? 🫵

A 𝟰-𝗶𝗻𝗰𝗵 by 𝟲-𝗶𝗻𝗰𝗵 photograph was enlarged by increasing each side by the same amount. The new area of the photo is 𝟭𝟲𝟴 𝘀𝗾𝘂𝗮𝗿𝗲 𝗶𝗻𝗰𝗵𝗲𝘀.

By how many inches is each dimension increased?

Lets us know your answer in the comment section down below! 👇 Soon, we will post the answers. Be ready! 🥸

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🖼: Cassandra Velasco | PIO
✍️: Ashley Jade Garcia | Vice President

The announcement you've been waiting for is here—meet your newly elected Mathiniks Officers for the school year 2026-2027!

Congratulations to the newly elected officers of Mathiniks!
As you start this exciting chapter, may you lead with teamwork and determination.
We're excited to welcome our fearless leaders.

They bring innovative vision, passion for problem-solving, and a genuine desire to make this year the most engaging and rewarding yet. May your leadership help Mathiniks grow and thrive.

Congratulations once again and best of luck in your leadership journey

Math Lingap 2025 was a heartwarming celebration of kindness, caring, and sharing. The gifts given to our students came from the donations of their fellow students during the “Donate and Participate” event held from December 1 to 3. Each item was carefully repacked to make sure it would bring happiness, encouragement, and smiles to a total of 48 students.

And a heartfelt thank you to Grade 10 - Mei Gui for their kindness and generosity! Your thoughtful gifts brought so much joy and happiness to our SNED students, making their day extra special.

This showed that even small acts of giving can make a big difference. It was not just about giving gifts, but about showing love, thoughtfulness, and support for one another. Seeing the students’ bright smiles, hearing their words of thanks, and feeling their excitement made the day truly special and unforgettable. Math Lingap 2025 reminded everyone that sharing and caring for others can create joy, build stronger connections, and make our school community feel like one big family. 🎁💛