3rd Quarter Reviewer in Mathematics

Pasay City is a vibrant urban area known for its rich culture and close-knit communities. Sofia, a moto vlogger, is planning a camping trip at a nearby eco-park. She has prepared essentials like a tent, table, chair, knife, rope, and utensils. Her younger brother, Mark, a Grade 8 student in Pasay, is studying geometric concepts. Mark becomes curious about how Sofia’s camping gear connects to the mathematical systems he is learning.

Mark learned that a mathematical system is made up of undefined terms, definitions, axioms, and theorems. Which statement BEST defines a mathematical system?

 

• A collection of numbers used in everyday life

• A process used to solve algebraic equations

• A set of interrelated components such as undefined terms, axioms, definitions, and theorems working together

• A tool for measuring objects in real-world scenarios

Pasay City is a vibrant urban area known for its rich culture and close-knit communities. Sofia, a moto vlogger, is planning a camping trip at a nearby eco-park. She has prepared essentials like a tent, table, chair, knife, rope, and utensils. Her younger brother, Mark, a Grade 8 student in Pasay, is studying geometric concepts. Mark becomes curious about how Sofia’s camping gear connects to the mathematical systems he is learning.

Mark wants to connect Sofia's camping items to the parts of a mathematical system. He considers the rope as an undefined term. What undefined term is illustrated by a rope?

 

• Line

• Plane

• Point

• Space

Pasay City is a vibrant urban area known for its rich culture and close-knit communities. Sofia, a moto vlogger, is planning a camping trip at a nearby eco-park. She has prepared essentials like a tent, table, chair, knife, rope, and utensils. Her younger brother, Mark, a Grade 8 student in Pasay, is studying geometric concepts. Mark becomes curious about how Sofia’s camping gear connects to the mathematical systems he is learning.

Mark notices that the ropes used to secure the tent form intersecting lines. What part of mathematical system best describes “intersecting lines”?

 

• Defined Terms

• Postulates      

• Theorems

• Undefined Terms

Edward, an aspiring Filipino cook, prepares sisig for dinner, inspired by Gordon Ramsay’s love for Filipino cuisine. He gathers meat, onions, garlic, and tools like knife, chopping board, ladle, and stove. As he cooks, Edward connects the process to the mathematical systems he studies in geometry.

Edward is preparing sisig for his dinner. He chops 3 onions and later decides to chop 2 more. If he adds the number of chopped onions together, he still gets a whole number. Which mathematical property does this demonstrate?

 

• Associative

• Closure

• Commutative

• Distributive

Edward, an aspiring Filipino cook, prepares sisig for dinner, inspired by Gordon Ramsay’s love for Filipino cuisine. He gathers meat, onions, garlic, and tools like knife, chopping board, ladle, and stove. As he cooks, Edward connects the process to the mathematical systems he studies in geometry.

Edward places his knife perpendicular to the chopping board. What geometric term best describes the relationship between the knife and the board?

 

• Coinciding lines

•    Intersecting lines

•     Parallel lines

•   Perpendicular lines

Edward, an aspiring Filipino cook, prepares sisig for dinner, inspired by Gordon Ramsay’s love for Filipino cuisine. He gathers meat, onions, garlic, and tools like knife, chopping board, ladle, and stove. As he cooks, Edward connects the process to the mathematical systems he studies in geometry.

While stirring the sisig, Edward's ladle forms different angles as it moves. What type of angle is formed if the ladle creates a 90-degree angle with the pan?

• Acute angle

•    Obtuse angle

•   Right angle

• Straight angle

In the Philippines, Chinese New Year is celebrated with traditions like dragon dances and enjoying lucky dishes such as tikoy. Richard, a Filipino food blogger, decides to feature tikoy in his social media content for the occasion. He buys ingredients like glutinous rice, sugar, and oil from the market and sets up his vlogging equipment.

During the preparation of tikoy, Richard remembers that the glutinous rice cake comes from rice grains which resemble a fundamental concept in geometry. Which term best describes a single grain of rice?

• Point

• Plane

• Line

• Angle

In the Philippines, Chinese New Year is celebrated with traditions like dragon dances and enjoying lucky dishes such as tikoy. Richard, a Filipino food blogger, decides to feature tikoy in his social media content for the occasion. He buys ingredients like glutinous rice, sugar, and oil from the market and sets up his vlogging equipment.

While filming his tikoy-making process, Richard positions his camera on a tripod and observes how the tripod's three legs form a triangular base, ensuring stability. In geometry, which postulate was illustrated?

 

• Any two parallel lines remain equidistant from each other.

• The area of a triangle is equal to half the product of its base and height.

• The sum of the angles in a triangle is always 180º.

• Through any three non-collinear points, there is exactly one plane.

In the Philippines, Chinese New Year is celebrated with traditions like dragon dances and enjoying lucky dishes such as tikoy. Richard, a Filipino food blogger, decides to feature tikoy in his social media content for the occasion. He buys ingredients like glutinous rice, sugar, and oil from the market and sets up his vlogging equipment.

Richard plans to cut the tikoy into rectangular pieces. To ensure each cut is straight, he uses a ruler to draw lines connecting specific points on the tikoy's surface. Which postulates justifies that two points are contained in one and only one line.

 

• Flat Plane Postulate

•   Plane Postulate

• Point Existence Postulate

• Straight Line Postulate

Summer, a gardener from Pasay City, was hired by the City Mayor to design a triangular garden for a new public park in Malibay. The Mayor requested an equilateral triangle with equal angles at each corner for symmetry. Summer must confirm that the angles meet a fundamental geometric property to ensure the design is accurate.

Summer marked the angles of the triangular garden as ∠A, ∠B, and ∠C. Which theorem justifies the statement, “If ∠A, ∠B and ∠C are the interior angles of a triangle, then m∠A + m∠B + m∠C = 180°?

•   Complement Theorem

•   Linear Pair Theorem

•   Supplement Theorem

•   Triangle Angle Sum Theorem.