Grades 4–5 Free Printable PDF • Sectioned Answer Keys

Summer Bridge Math Pack: Finished 4th Grade to Entering 5th Grade

For parents and homeschool families carrying exiting 4th graders into 5th Grade: multi-digit multiplication, long division algorithms, like-fraction operations, decimal money, and an introductory preview of equivalent fractions.

Designed to practice:
4.NBT.B.5 4.NBT.B.6 4.NF.B.3 4.NF.C.7 4.MD.A.2 4.NF.A.1
Free for classroom instruction, tutoring, and homeschool study • Terms of Use (Educational License)

About This Weekly Practice Pack

Target Audience & Setting

Designed for families and summer tutors supporting students who finished Fourth Grade and are solidifying computational stamina for upper-elementary mathematics.

Key Mathematical Stamina

Preserves hard-won fourth-grade algorithmic habits: multi-digit vertical multiplication, multi-step long division with remainders, like-denominator fraction sums and differences, and lined-up decimal arithmetic. Section 5 previews fifth-grade fraction equivalence through missing-factor scaling, bridging concrete models to formal proportional reasoning.

Grades 4–5 5 Curated Sections • 50 Total Problems

One seed governs the entire pack. Print one unified document with sectioned answer keys.

Free for classroom instruction, tutoring, and homeschool study • Terms of Use (Educational License) • Answer keys are version-locked to each pack seed code, guaranteeing an exact match with your printed sheets.

Tip: in the print dialog, choose 'Save as PDF' to keep a copy.

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Answer keys verified by automated tests — how we check →
Worksheet Mill Pack Code: 0028T5

Summer Bridge Math Pack: Finished 4th Grade to Entering 5th Grade

Section 1 of 5: 4th Grade Review: Multi-Digit Multiplication (Standard Algorithm)
Name: ________________________________ Date: ____________________ Score: _________

Multiply the numbers using the standard algorithm. Show all partial products and carry marks.

1.
86
× 69
 
2.
76
× 30
 
3.
81
× 73
 
4.
48
× 26
 
5.
27
× 22
 
6.
28
× 17
 
7.
79
× 39
 
8.
73
× 15
 
9.
32
× 31
 
10.
66
× 47
 
Worksheet Mill Pack Code: 0028T5

Summer Bridge Math Pack: Finished 4th Grade to Entering 5th Grade

Section 2 of 5: 4th Grade Review: Long Division with Single-Digit Divisors
Name: ________________________________ Date: ____________________ Score: _________

Divide using long division steps: Divide, Multiply, Subtract, Bring down (DMSB). Write remainders as R r.

1.
 
8
532
2.
 
3
156
3.
 
8
985
4.
 
3
570
5.
 
9
900
6.
 
3
217
7.
 
3
123
8.
 
9
647
Worksheet Mill Pack Code: 0028T5

Summer Bridge Math Pack: Finished 4th Grade to Entering 5th Grade

Section 3 of 5: 4th Grade Review: Adding & Subtracting Like Fractions
Name: ________________________________ Date: ____________________ Score: _________

Add or subtract the fractions with like denominators. Simplify your answer to simplest form or mixed number if possible.

1)
3 6 - 2 6 =
    
2)
3 10 + 6 10 =
    
3)
2 5 + 1 5 =
    
4)
2 3 - 1 3 =
    
5)
1 3 + 2 3 =
    
6)
1 2 - 1 2 =
    
7)
2 6 - 2 6 =
    
8)
4 5 - 4 5 =
    
9)
1 3 - 1 3 =
    
10)
1 2 + 1 2 =
    
Worksheet Mill Pack Code: 0028T5

Summer Bridge Math Pack: Finished 4th Grade to Entering 5th Grade

Section 4 of 5: 4th Grade Review: Decimal Column Addition & Subtraction
Name: ________________________________ Date: ____________________ Score: _________

Align the decimal points and compute each problem. Include the dollar sign ($) in your answer if present.

1.
$74.01
+ $53.23
 
2.
$32.37
+ $21.96
 
3.
$96.52
+ $42.81
 
4.
$30.45
+ $5.70
 
5.
$46.34
- $20.79
 
6.
$88.17
- $44.66
 
7.
$96.82
- $35.89
 
8.
$36.46
- $7.64
 
9.
$75.15
- $23.64
 
10.
$16.02
- $15.99
 
11.
$52.25
- $50.83
 
12.
$46.64
- $9.32
 
Worksheet Mill Pack Code: 0028T5

Summer Bridge Math Pack: Finished 4th Grade to Entering 5th Grade

Section 5 of 5: 5th Grade Preview: Equivalent Fractions & Visual Scaling
Name: ________________________________ Date: ____________________ Score: _________

Find the missing numerator or denominator to make the fractions equivalent, or reduce the fraction to simplest form.

1)
1 2 =   6
2)
10 15 = 2  
3)
9 12 = 3  
4)
5 10 = 1  
5)
5 6 = 10  
6)
1 4 =   16
7)
3 8 = 6  
8)
2 5 =   15
9)
2 10 =   5
10)
3 6 =   2

Ways to Use This Pack

Homeschool Practice

Daily focused math time with zero screen distractions and clear answer keys for easy checking.

Homework

A clean, predictable practice sheet students can complete at home without adult coaching.

Morning Work

The first ten minutes while attendance is taken and students settle into the room.

Sub Plans

Clear student sheets with complete answer keys ready for any substitute to run without prep.

Weekly classroom routine: Use one section per daily summer school session. Allow students to work in pairs on Section 2 (long division) to check each quotient step with multiplication on scrap paper before writing final remainders.

Pack Contents & Skill Breakdown

5 Sections • 50 Total Problems

Every 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 4th Grade Review: Multi-Digit Multiplication (Standard Algorithm)
Multiplication • Designed to practice: 4.NBT.B.5
Standard 10 Customize →
Section 2 4th Grade Review: Long Division with Single-Digit Divisors
Division • Designed to practice: 4.NBT.B.6
Standard 8 Customize →
Section 3 4th Grade Review: Adding & Subtracting Like Fractions
Fractions • Designed to practice: 4.NF.B.3
Standard 10 Customize →
Section 4 4th Grade Review: Decimal Column Addition & Subtraction
Decimals • Designed to practice: 4.NF.C.7 4.MD.A.2
Standard 12 Customize →
Section 5 5th Grade Preview: Equivalent Fractions & Visual Scaling
Fractions • Designed to practice: 4.NF.A.1
Standard 10 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

Use one section per daily summer school session. Allow students to work in pairs on Section 2 (long division) to check each quotient step with multiplication on scrap paper before writing final remainders.

Home & Homework Strategy

Aim for a consistent 12-to-15 minute daily routine. If long division or fraction operations cause frustration after weeks off, complete the first two problems side-by-side with your child before letting them finish independently.

Frequently Asked Questions

Why are long division and multi-digit multiplication prioritized in this summer pack?

Multi-step computational algorithms suffer the steepest summer slide among upper-elementary topics. A short weekly touchpoint maintains place-value alignment and step sequencing so children enter Grade 5 confident and ready.

Is my student expected to master unlike-denominator fractions before starting Grade 5?

No. Adding and subtracting fractions with unlike denominators is a central Grade 5 standard. Section 5 introduces equivalent fractions through simple scaling (e.g., 2/3 = ?/6) to build the mental foundation for common denominators without early frustration.

How are remainders presented in the Section 2 answer key?

Quotients are listed in standard elementary notation (such as "34 R 2"), making it straightforward for parents and students to verify both the whole quotient and remainder without converting to decimals.