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SAMPLE QUESTIONS

Explore a fresh take on math challenges! Unlike traditional problems, these focus on critical reasoning and real-world applications.

From cracking a quadratic graph mystery to analyzing data and saving big during an online sale, these examples highlight how math is a tool for mental muscles and real-world challenges.

Quadratic Equations & Graphs

Three students are shown the graph of quadratic equation y = ax² + bx + c. They each make a claim about the graph.

  • Student 1: "The graph does not cross the x-axis, and it passes through the point (1, -1)."

  • Student 2: "One of the x-intercepts of the graph is x = 1."

  • Student 3: "The turning point of the graph is a minimum point."

Exactly one student is lying. Find the value of a + c.

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Exactly one student is lying. Find the value of a+c.

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The mode of the data set is 17.Find the greatest possible number of students who did 16 sit-ups.

STATISTICS

The number of sit-ups done by 28 students were recorded. The data set is displayed on a dot diagram. However, a portion of the dot diagram is torn and the remainder of the diagram is shown below.

PERCENTAGES

In the annual "11.11" sale, an online shopping platform offers the following vouchers.

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David wants to buy a watch which is ₱5,000.

What is the maximum amount of discounts that he can get?

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Senior High School

In each category, there are 3 sections, with a total of 100 marks.​​

Section A (Easy) : 10 questions, 2 marks each  

Section B (Medium) : 10 questions, 3 marks each

​Section C (Reasoning) : 10 questions, 5 marks each 

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