Logic and reasoning
What is the negation of the statement: "All birds can fly"?
Some birds cannot fly.
What sequence is commonly found in flower petals, pinecones, and shells?
Fibonacci sequence
What type of graph is best for showing parts of a whole?
Pie chart
What is the average of the numbers 3, 5, and 7?
5
What is the formula for simple interest?
I = P × R × T
If "If it rains, then the ground gets wet" is true, and it is raining, what can we conclude?
The ground gets wet.
What is the Golden Ratio approximately equal to?
1.618
What do we call the vertical axis in a Cartesian graph?
Y-axis
What measure of central tendency is the most frequently occurring number?
Mode
How much interest is earned on PHP1,000 at 5% for 2 years? (Simple interest)
PHP100
Which type of reasoning uses specific observations to form a general rule?
Inductive reasoning
In art, what technique involves using the Golden Ratio to create visually appealing compositions?
Rule of thirds or Golden Spiral
What type of graph is best for tracking changes over time?
Line graph
Find the median of the data set: 2, 4, 7, 9, 10.
7
What is the formula for compound interest?
A = P(1 + r/n)^(nt)
Determine the validity: "If I study, I will pass. I passed. Therefore, I studied."
Invalid (Fallacy: Affirming the Consequent)
How many spirals are typically visible in a sunflower head that follow Fibonacci numbers?
34 and 55 (or other Fibonacci pairs)
A bar graph shows the number of books read per month. Which is the dependent variable?
Number of books
In a skewed distribution, which measure of central tendency is most affected by outliers?
Mean
If PHP5,000 is invested at 4% compounded annually for 3 years, what is the final amount?
PHP5,624.32
Given: "If A, then B. If B, then C." What conclusion can be logically drawn?
If A, then C. (Hypothetical syllogism)
A pinecone has 8 spirals in one direction and 13 in the other. What mathematical pattern is this?
Fibonacci pattern
A scatter plot shows no clear pattern. What type of correlation is this?
No correlation
A student has the following scores: 80, 85, 85, 90, and 100. What is the mean, median, and mode?
Mean = 88, Median = 85, Mode = 85
A PHP10,000 investment grows to PHP12,155.06 in 4 years with annual compounding. What is the interest rate?
5%