6th grade math test: a free 10-question quick check

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The same ten questions as a PDF, with a separate answer key.

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What the questions cover

The ten questions sample 6th grade: ratios and unit rates, exponents, dividing fractions, long division, the height of a triangle, volume with fraction side lengths and two questions on data. Some questions show a table, a triangle or a line plot; one asks your child to type an answer.

The whole year covers these areas:

• Ratios and unit rates

  A ratio compares two amounts, such as 3 red marbles for every 5 blue ones. Ratios open the year, and your child uses them and unit rates (the amount for one) to solve real problems.

• Dividing fractions

  Your child divides a fraction by a fraction, such as how many 1/6-pound bags 2/3 of a pound of trail mix fills, and explains the answer with a drawing or a number line.

• Negative numbers and the coordinate grid

  Numbers below zero arrive, for temperatures, debts and depths below sea level. Your child places them on a number line and plots points in all four quadrants (the four sections) of the coordinate grid.

• Expressions and exponents

  An expression is a math phrase with no equals sign, such as 3x + 2. Your child writes expressions from words, finds their value and rewrites them in equivalent forms (forms that look different but always have the same value).

• Equations and inequalities

  An equation says two amounts are equal, such as x + 7 = 15. Your child solves one-step equations, writes simple inequalities and studies two quantities that change together.

• Area, surface area and volume

  Your child finds the area of triangles and other shapes by splitting them into simpler pieces. Volume uses fraction side lengths, and surface area comes from nets (flat patterns that fold into a solid).

• Long division, decimals and factors

  Long division and decimal arithmetic with the standard method, which should be quick and accurate by the end of the year, plus common factors and multiples.

• Statistics and data displays

  A statistical question expects many different answers, such as "How tall are the students in my class?" Your child describes data by its center and by how spread out it is.

Every topic of the year, explained for parents, is on the 6th grade math page.

What you see at the end

The score, then every question with your child’s answer, the correct answer and a worked solution. A short message explains what a similar score usually means for 6th graders on our full assessment. Treat it as an indication: ten fixed questions cannot measure where a child stands.