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Smarter Balanced grade 7 math practice test

A free practice set in the style of grade 7 math on the Smarter Balanced tests: 12 questions in the online formats state tests use, marked as soon as you finish. Nothing is stored.

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Grade 7 practice set

12 questions, with no clock. A new set every time, marked when you finish, with the marks by Smarter Balanced’s categories.

Have paper and a pencil ready for working out.

What’s on grade 7 math

The Smarter Balanced tests report grade 7 math in 3 categories. The practice set covers each of them:

Claim 1: Concepts and Procedures

  • Proportional relationships and the constant of proportionality
  • Adding and subtracting positive and negative numbers
  • Multiplying and dividing positive and negative numbers
  • Combining like terms and expanding
  • Solving two-step equations
  • Supplementary, complementary and vertical angles
  • Circumference and area of circles
  • The probability of a simple event

Claims 2 and 4: Problem Solving and Modeling and Data Analysis

  • Unit rates with fractions
  • Percent problems: tips, discounts, markups and percent change
  • Money: sales tax and simple interest
  • Word problems with negative numbers
  • Scale drawings and maps
  • Volume and surface area of prisms
  • Random samples, and predictions from them
  • Compound events: counting outcomes and their probability

Claim 3: Communicating Reasoning

  • Solving two-step inequalities
  • Which side lengths and angles make a triangle
  • Comparing two groups by their means and spread
  • The Smarter Balanced tests check the Common Core State Standards (or each member's version of them).
  • The real grade 7 test: About 35-40 questions on the full blueprint: Concepts and Procedures 17-20 (grades 3-5) or 16-20 (grades 6-8); Problem Solving with Modeling and Data Analysis 8-10; Communicating Reasoning 8-10 (those two together 18-20). One performance task of 4-6 items is included. The adjusted blueprint cuts the adaptive part by about half.
  • Calculators: No calculator in grades 3-5. Grades 6-8 mix calculator and non-calculator items, given in separate segments.

How to help at home

  1. Do one set, then talk

    After a set, look at the ones they missed together. Ask how they got their answer before saying what the right one is.

  2. Little and often

    A short set a few times a week does more than a long session the week before.

  3. Use real life

    Prices at the store, recipes, distances and times on a trip: grade-level math is everywhere.

  4. Keep it calm

    The test checks how the year went. A good night’s sleep helps more than cramming.

Other grades

More about the Smarter Balanced tests in 2027

See Thena explain the ones they missed

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