State TestPrep

NJSLA Grade 5 Math Practice Test

A free, self-grading practice set modeled on the NJSLA Grade 5 mathematics blueprint. All questions are original placeholders for teacher review; see the project README. The real NJSLA is longer than this representative Form A, which covers all five grade-5 domains.

Start the practice test →18 questions · ~30 min · calculator: none

Standards covered on this practice test

  • 5.G.A.1Use a pair of perpendicular number lines (axes) to define a coordinate system and graph points in the first quadrant.
  • 5.G.B.4Classify two-dimensional figures in a hierarchy based on properties.
  • 5.MD.A.1Convert among different-sized standard measurement units within a given measurement system, and use these conversions in solving multi-step, real-world problems.
  • 5.MD.C.5Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume (V = l × w × h).
  • 5.NBT.A.1Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
  • 5.NBT.A.3Read, write, and compare decimals to thousandths.
  • 5.NBT.A.4Use place value understanding to round decimals to any place.
  • 5.NBT.B.5Fluently multiply multi-digit whole numbers using the standard algorithm.
  • 5.NBT.B.6Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.
  • 5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths using concrete models, drawings, and strategies based on place value.
  • 5.NF.A.1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing them with equivalent fractions with a common denominator.
  • 5.NF.A.2Solve word problems involving addition and subtraction of fractions referring to the same whole, including unlike denominators.
  • 5.NF.B.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).
  • 5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
  • 5.NF.B.5Interpret multiplication as scaling (resizing) by comparing the size of a product to the size of one factor.
  • 5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
  • 5.OA.A.1Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
  • 5.OA.A.2Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

How this maps to the real NJSLA

The real NJSLA Grade 5 math test is longer than this practice set and mixes content, reasoning, and modeling tasks, and is delivered adaptively — so the exact number of questions varies by student. This free Form A is a shorter, representative set that covers all five grade-5 domains and auto-grades instantly.