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SAT Math / Problem-Solving and Data Analysis

SAT topic

Problem-solving and data

Ratios, percentages, and statistics in context.

Learning goals

  • Extract the asked quantity from a table, graph, or word problem before calculating.
  • Use ratios, rates, or a simple statistic that matches the question.

Explanation

Read what the question is asking before you start calculating. Estimate to catch unreasonable answers, then check that the result matches the units in the problem.

Common mistakes

  • Averaging averages that come from groups of different sizes.
  • Reading a graph point correctly and then answering a different question.

Practice

1 of 2Percent problems · easy · multiple choice

A quantity increases from 50 to 65. What is the percent increase?

Original Marlow Works item — not a College Board question.

Take your time—this is practice, not a test.

Quick review

  1. 01Underline the units the answer must use.
  2. 02Estimate a reasonable range first.
  3. 03If a table is given, identify the row and column before doing arithmetic.
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Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

  • Official / link only

    Official SAT practice hub

    College Board SAT practice landing page, including links to tests and tools.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Official / link only

    Bluebook full-length practice

    Official digital SAT practice tests in the Bluebook app.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Official / link only

    Student Question Bank

    Official SAT practice questions hosted by College Board.

    College Board · All rights reserved · accessed 2026-10-01

    Use as an external link. Do not republish question stems.

    Open source

  • Official / link only

    Official SAT Prep on Khan Academy

    College Board describes this as free Official SAT Prep with lessons, hints, and walkthroughs.

    Khan Academy / College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Reference only — do not copy

    OpenStax College Algebra 2e

    Algebra reference; current terms include noncommercial and AI-ingestion limits.

    OpenStax · Restricted — see publisher page · accessed 2026-10-01

    Open source