Foundations Level
Problem Solving and Data Analysis
Build essential skills in quantitative reasoning and data interpretation.
What You'll Learn
Ratios and Proportions
Understand and solve problems involving ratios and proportional relationships.
Percentages
Calculate percentages, percent change, and percent increase/decrease.
Basic Statistics
Find mean, median, mode, and range of data sets.
Data Interpretation
Read and analyze tables, charts, and simple graphs.
Key Concepts
- •Unit Rates: Finding the rate per one unit (e.g., price per item)
- •Percent Formula: Part/Whole × 100 = Percent
- •Mean: Sum of values divided by number of values
- •Median: Middle value when data is ordered
- •Proportional Thinking: Using cross-multiplication to solve proportions
Example Problem
If 3 pencils cost $1.50, how much would 7 pencils cost?
Solution:
Set up a proportion: 3/1.50 = 7/x
Cross multiply: 3x = 7 × 1.50
3x = 10.50
x = $3.50
Study Tips
- ✓Label your ratios clearly to avoid confusion
- ✓When finding median, always order the data first
- ✓Double-check which quantity represents the "whole" in percentage problems
- ✓Pay attention to units and convert when necessary
Start Practicing
Ready to test your skills? Choose how you want to study: