← Maths syllabus

United StatesMaths

Problem-Solving and Data Analysis

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you read one-variable data, compute and compare measures of center and spread, and reason about samples and statistical claims?

One-variable data: mean, median, mode and range, standard deviation as spread, the effect of outliers, and inference from sample statistics including margin of error and evaluating statistical claims.
A focused answer to the Digital SAT Problem-Solving and Data Analysis skill of one-variable data: mean, median, mode and range, standard deviation as spread, outlier effects, and reasoning about sampling, margin of error, and statistical claims.
11 min answer →

How do you solve percent problems, including percent change, successive percentages, and reverse percentages?

Percentages: compute a percent of a number, percent increase and decrease, percent change, successive percent changes, and find an original amount from a percentage (reverse percent).
A focused answer to the Digital SAT Problem-Solving and Data Analysis skill of percentages: percent of a number, percent increase and decrease, percent change, successive percentages, and finding an original amount from a known percentage.
11 min answer →

How do you compute probabilities and conditional probabilities, especially from a two-way frequency table?

Probability and conditional probability: compute simple probability as favorable over total, read probabilities from two-way frequency tables, and compute conditional probability given a restricted group.
A focused answer to the Digital SAT Problem-Solving and Data Analysis skill of probability and conditional probability: simple probability, reading two-way frequency tables, and computing conditional probability within a restricted row or column.
10 min answer →

How do you set up and solve ratio, rate, and proportion problems, including unit conversions?

Ratios, rates, proportional relationships, and units: solve proportions, work with unit rates and constant of proportionality, and convert between units including compound units.
A focused answer to the Digital SAT Problem-Solving and Data Analysis skill of ratios, rates and proportional relationships: setting up proportions, finding unit rates and the constant of proportionality, and converting units including speeds and densities.
11 min answer →

How do you read scatterplots, fit a line or curve of best fit, and use a model to predict?

Two-variable data: read scatterplots, choose a linear, quadratic or exponential model of best fit, interpret slope and intercept of a line of best fit, and use the model to predict and interpolate.
A focused answer to the Digital SAT Problem-Solving and Data Analysis skill of two-variable data: reading scatterplots, choosing a line or curve of best fit, interpreting its slope and intercept, and using the model to predict.
11 min answer →