Trained, tested, and ready forLPT.

In the right triangle shown, the legs measure 4 and 3 units. What is the length of the hypotenuse c?

• A5
• B7
• C12
• D25

Why: By the Pythagorean theorem, c² = 4² + 3² = 25, so c = 5.

In the energy pyramid shown, if producers hold 10,000 energy units, approximately how much reaches the secondary consumers (third level)?

• A100 units
• B1,000 units
• C5,000 units
• D9,000 units

Why: About 10% transfers per level: 10,000 → 1,000 (primary) → 100 (secondary).

The chart shows five quiz scores: 10, 10, 11, 12, and 92. Which measure BEST represents the typical score, and why?

• AThe mean (27), because it uses every value
• BThe median (11), because it resists the single outlier
• CThe mode (10), because it is always most accurate
• DThe range (82), because it shows spread

Why: The outlier (92) inflates the mean to 27. The median (11) resists the outlier and best represents the typical score.

On the supply-and-demand graph shown, what does point E represent?

• AThe equilibrium price and quantity where supply equals demand
• BA permanent shortage
• CThe maximum possible price
• DThe point where demand is zero

Why: Point E is where the supply and demand curves intersect, setting the equilibrium price (Pe) and quantity (Qe).

In the scientific-method flowchart, what happens when the evidence does NOT support the hypothesis?

• AThe process loops back to revise the hypothesis
• BThe investigation must stop permanently
• CThe data are deleted
• DThe conclusion is accepted anyway

Why: The 'No' branch loops back to revise the hypothesis — science is iterative and self-correcting.