5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills
For teachers and families in the first weeks of school: 4th and 5th grade carry-over review across multi-digit multiplication, long division algorithms, like fractions, equivalent fractions, and decimal operations.
About This Weekly Practice Pack
Target Audience & Setting
Designed for 5th and 6th grade math teachers, middle school transition teams, and homeschool parents during the first weeks of school to verify multi-step procedural stamina.
Key Mathematical Stamina
Samples critical 4th and 5th grade math benchmarks: standard multi-digit multiplication, long division multi-step algorithms with remainders, fraction operations with common denominators, proportional reasoning through equivalent fractions, and column decimal alignment. Serves as an informal check to reveal whether students remember core multi-step algorithms before new curricular units begin.
One seed governs the entire pack. Print one unified document with sectioned answer keys.
Tip: in the print dialog, choose 'Save as PDF' to keep a copy.
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills
Multiply the numbers using the standard algorithm. Show all partial products and carry marks.
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills
Divide using long division steps: Divide, Multiply, Subtract, Bring down (DMSB). Write remainders as R r.
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills
Add or subtract the fractions with like denominators. Simplify your answer to simplest form or mixed number if possible.
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills
Find the missing numerator or denominator to make the fractions equivalent, or reduce the fraction to simplest form.
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills
Align the decimal points and compute each problem. Include the dollar sign ($) in your answer if present.
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills — Answer Key
Answer key for Multi-Digit Multiplication: 2-Digit Standard Algorithm (10 problems).
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills — Answer Key
Answer key for Long Division: Single-Digit Divisors with Remainders (8 problems).
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills — Answer Key
Answer key for Fractions Review: Adding & Subtracting with Like Denominators (10 problems).
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills — Answer Key
Answer key for Fractions Review: Equivalent Fractions & Simplification (10 problems).
5th–6th Grade Back to School Math Review — Review of 4th and 5th Grade Skills — Answer Key
Answer key for Decimals Review: Column Addition & Subtraction (12 problems).
Ways to Use This Pack
The first ten minutes while attendance is taken and students settle into the room.
Daily focused math time with zero screen distractions and clear answer keys for easy checking.
A clean, predictable practice sheet students can complete at home without adult coaching.
Clear student sheets with complete answer keys ready for any substitute to run without prep.
Pack Contents & Skill Breakdown
5 Sections • 50 Total ProblemsEvery section is generated from our verified procedural math engines with dedicated problem formatting. If you want to customize an individual section's factor ranges, digit counts, or problem volume, explore the dedicated generator tool linked below.
| Section | Topic & Underlying Generator | Preset Level | Problems | Full Tool |
|---|---|---|---|---|
| Section 1 | Multi-Digit Multiplication: 2-Digit Standard Algorithm Multiplication • Designed to practice: 4.NBT.B.5 (Prerequisite) | Standard | 10 | Customize → |
| Section 2 | Long Division: Single-Digit Divisors with Remainders Division • Designed to practice: 4.NBT.B.6 (Prerequisite) | Standard | 8 | Customize → |
| Section 3 | Fractions Review: Adding & Subtracting with Like Denominators Fractions • Designed to practice: 4.NF.B.3 (Prerequisite) | Standard | 10 | Customize → |
| Section 4 | Fractions Review: Equivalent Fractions & Simplification Fractions • Designed to practice: 4.NF.A.1 (Prerequisite) | Standard | 10 | Customize → |
| Section 5 | Decimals Review: Column Addition & Subtraction Decimals • Designed to practice: 4.NF.C.7 (Prerequisite) 4.MD.A.2 (Prerequisite) | Standard | 12 | Customize → |
Common Core State Standards © Copyright 2010 National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
Classroom & Home Practice Routines
Classroom Implementation
Distribute one section per day during the first week as morning work or during an independent work station. Observe student scrap work in Section 2 (long division) to check whether division sequence errors stem from multiplication slips or subtraction borrowing.
Home & Homework Strategy
Set a consistent 12-to-15 minute daily routine. Encourage your student to show all column work clearly and use the included answer key to self-correct and reflect on any calculation slips.
Frequently Asked Questions
Is this review packet a formal diagnostic placement test?
No. This packet is not a formal test—it is an informal review and warm-up tool designed to show teachers and families what procedural habits need a quick refresher, without test stress or formal labels.
Why are long division and multi-digit multiplication featured in the first week?
Multi-step algorithms are the most common arithmetic procedures lost during summer break. Checking these early prevents frustration when 5th and 6th grade topics—such as decimal division and ratios—build on them.
How does this packet bridge elementary school to middle school expectations?
It reviews the essential computation pillars needed for upper elementary and middle school success: fluency with vertical algorithms, conceptual understanding of fractional parts, and precision with decimal notation.