Grade 11 | Senior High School Entrance Exam Reviewer

At 10 PM, Mark switched to Math. He knew the exam would include:

Algebra, Geometry, Statistics, and Word Problems

Problem 1 (Linear Equation): Solve for ( x ): ( 3(x - 4) + 5 = 2x + 1 )

Solution: ( 3x - 12 + 5 = 2x + 1 ) ( 3x - 7 = 2x + 1 ) ( 3x - 2x = 1 + 7 ) ( x = 8 )

Common trap: Forgetting to distribute the negative sign.

Problem 2 (Geometry – Area of a Circle): A circular garden has a radius of 7 meters. What is its area? (Use ( \pi \approx 3.14 ))

Solution: ( A = \pi r^2 ) ( A = 3.14 \times 7^2 = 3.14 \times 49 = 153.86 \ \textm^2 ) grade 11 senior high school entrance exam reviewer

Problem 3 (Statistics – Mean): In five exams, Mark scored 85, 90, 78, 92, and 85. What is his mean score?

Solution: ( \textMean = \frac85+90+78+92+855 = \frac4305 = 86 )

Problem 4 (Word Problem – Ratio): The ratio of boys to girls in Grade 10 is 3:5. If there are 120 girls, how many boys are there?

Solution: ( \frac35 = \fracx120 ) ( 5x = 360 ) ( x = 72 \ \textboys )

Mark smiled. “Step-by-step. Don’t rush.”

Mark stared at the stack of reviewers on his desk. Tomorrow was the SHS Entrance Exam. He took a deep breath and opened his English booklet. At 10 PM, Mark switched to Math

Lesson 1: Context Clues & Reading Comprehension

He read a practice paragraph:

“The old forest was considered nefarious by the villagers. They told stories of travelers who entered but never returned, their disappearances shrouded in mystery. No one dared to venture past the gnarled trees after sunset.”

Question: What does nefarious most likely mean?

Answer: B) Evil or wicked (hinted by disappearances, no one dared to enter)

Quick Tips:

Mark then tackled a main idea question:

“Social media has transformed communication, but it has also led to shorter attention spans. Studies show that people now struggle to read long articles. However, social media also allows instant connection during emergencies.”

Question: What is the main idea?

Answer: B

“Okay,” Mark whispered. “Identify the thesis. Not just a detail.”

This section usually covers Basic Math, Algebra, and basic Geometry/Statistics. Algebra, Geometry, Statistics, and Word Problems