SAT Ratios, Rates, and Proportions

Ratios, rates and proportions test setting up a proportion and solving it, including unit conversion. The recurring error is answering with one part of a ratio when the question asked for a different part, or for the whole.

Practise this skill freeHow the SAT is structured
MathProblem-Solving and Data Analysis60 questions
The trap on this skill

Using the blue part or one part instead of the red portion.

How this skill behaves

What 60 questions on it look like

88% of these questions can appear in the harder second module. On a section-adaptive test that matters: this is a skill that keeps mattering after a strong first module, not one you leave behind.

Not one question in this skill is rated hard. What makes it cost marks is speed and carelessness, not difficulty.

medium88%
easy12%

Difficulty mix across the 60 questions in this skill.

From the bank

Three real ratios, rates, and proportions questions

Each one explains the credited answer and why every other option fails.

Problem-Solving and Data Analysis · medium

Mailroom short shelf folding setup note has orange and gray tags in a ratio of 5 to 8. If there are 78 tags total, how many are orange?

  1. A48
  2. B6
  3. C31
  4. D30correct
Why D is correct — and why the others are not

The ratio has 13 total parts. Each part is 78/13 = 6, so the number of orange tags is 5(6) = 30. The key support is the way the item treats Ratios, rates, and proportions. A final check is testing the value in the original relationship.

A. This value results from using the gray part or one part instead of the orange portion

B. This value results from using the gray part or one part instead of the orange portion

C. This value results from using the gray part or one part instead of the orange portion

Problem-Solving and Data Analysis · easy

Clinic backup frame staging receipt has green and white tags in a ratio of 2 to 5. If there are 63 tags total, how many are green?

  1. A45
  2. B9
  3. C18correct
  4. D19
Why C is correct — and why the others are not

The ratio has 7 total parts. Each part is 63/7 = 9, so the number of green tags is 2(9) = 18. The final step answers the prompt as it applies to Ratios, rates, and proportions. A final check is verifying the sign and size of the result.

A. This value results from using the white part or one part instead of the green portion

B. This value results from using the white part or one part instead of the green portion

D. This value results from using the white part or one part instead of the green portion

Problem-Solving and Data Analysis · medium

Showroom wide gate checkout time card has black and silver tiles in a ratio of 4 to 7. If there are 88 tiles total, how many are black?

  1. A56
  2. B32correct
  3. C8
  4. D33
Why B is correct — and why the others are not

The ratio has 11 total parts. Each part is 88/11 = 8, so the number of black tiles is 4(8) = 32. The calculation or reading check points back to Ratios, rates, and proportions. A final check is using the equation form named in the stem.

A. This value results from using the silver part or one part instead of the black portion

C. This value results from using the silver part or one part instead of the black portion

D. This value results from using the silver part or one part instead of the black portion

60 questions on this skill, free to start.

Ten a day at no cost, each with the same explanation. One account covers SAT, ACT and AP.

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FAQ

Ratios, Rates, and Proportions questions

How do I set up a proportion?

Keep the same quantity in the same position on both sides — parts with parts, wholes with wholes — then cross-multiply.

What about a ratio of 3:5?

Those are parts, and the whole is 8. A question asking for the larger portion of 40 wants 25, not 5.
Last reviewed 2026-08-28. Format and scoring facts sourced to College Board. Question counts describe the PrepScore bank, not the exam.
Same domain
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Practise ratios, rates, and proportions until the trap stops working.

Real Digital SAT questions, the reasoning on every option, and a mistake bank that only clears when you get it right.

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