United States · Grades 11-12

Digital SAT Math free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper Digital SAT Math set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

A taxi company charges a flat fee of $7 plus $2 for each mile traveled. A passenger paid

$33. How many miles did the passenger travel?

Student-produced response: write your answer in the box.

Worked answer

Correct answer: 13

  • Write the cost as an equation: cost = 7 + 2 × miles.
  • $33 = 7 + 2 × m, so 2 × m = 33 - 7 = 26.
  • m = 26 ÷ 2 = 13 miles.
  • Enter 13 in the answer box.

A flat fee plus a rate per unit gives y = (rate)x + (fee): subtract the fee before dividing by the rate.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the Digital SAT Math free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.

How many full Digital SAT Math papers are there?

20 original papers for students preparing for the Digital SAT. Each is 44 questions in 2 modules, 35 minutes per module (Desmos calculator available), with a worked solution for every question. Papers start at A$19.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.