HSPT Quantitative

A comprehensive exploration of quantitative reasoning skills tested on the HSPT, including problem-solving, number concepts, and data analysis.

Advanced Topics

Problem Solving Strategies

Cracking Complex Problems

The HSPT loves to challenge you with multi-step problems. These require you to combine different math skills and think critically.

Common Strategies

  • Work Backwards: Start with the answer and figure out what you need to get there.
  • Draw a Diagram: Sketch out the problem to visualize what's happening.
  • Guess and Check: Try possible answers and see which one fits.
  • Look for Patterns: Spot repeating elements to simplify the problem.

When to Use Them

Use these strategies when a problem seems confusing or you’re not sure where to start.

Real-World Example

Solving puzzles, planning routes, or even figuring out who ate the last cookie—problem-solving strategies make life easier!

Examples

  • You have 8 apples and give some away. Now you have 3. How many did you give away? (Work backwards: 8 - ? = 3; answer: 5).

  • A number plus 6 is 10. What is the number? (Guess and check: 4 + 6 = 10, so the answer is 4).

In a Nutshell

Using the right strategy can turn a tough problem into an easy one.

Key Terms

Work Backwards
A strategy where you start with the end result and reverse the steps to find the answer.