Grades 6–8 Free Printable PDF • Sectioned Answer Keys

Middle School Spring Review Pack — Full-Year Math Practice (Grades 6–8)

For 6th–8th grade math teachers and families reviewing essential middle school standards: pre-algebra expressions, multi-digit division, circle geometry, decimal operations, and spring story problems.

Designed to practice:
5.OA.A.1 (Prerequisite) 7.NS.A.2.d 5.NBT.B.7 (Prerequisite) 8.EE.C.7 8.SP.A
Free for classroom instruction, tutoring, and homeschool study • Terms of Use (Educational License)

About This Weekly Practice Pack

Target Audience & Setting

Designed for middle school math educators (Grades 6–8) and homeschool families seeking a rigorous, cross-domain spiral review packet for the spring semester.

Key Mathematical Stamina

Synthesizes foundational middle school standards across grades 6 through 8: evaluating numerical expressions with powers and grouping symbols (EE), multi-digit division and decimal computation fluency (NS), circular geometry using standard pi approximation (G), and contextual spring problem-solving.

Grades 6–8 5 Curated Sections • 40 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.

Student Header Fields
Print Options:
Vector PDF Print Quality
Answer keys verified by automated tests — how we check →
Worksheet Mill Pack Code: 0028T5

Middle School Spring Review Pack — Full-Year Math Practice (Grades 6–8)

Section 1 of 5: Order of Operations: Multi-Step Expressions with Exponents
Name: ________________________________ Date: ____________________ Score: _________

Evaluate each expression following the order of operations (PEMDAS/BODMAS). Show your work.

1) 6 × 3 + 42 ÷ 7 =
    
2) 3 × 4 + 3 ÷ 3 =
    
3) (9 + 3) ÷ 3 =
    
4) 10 + 3 × (4 - 1) =
    
5) (4 - 1) × 4 + 21 =
    
6) 16 - 36 ÷ 9 =
    
7) (10 - 3) × 3 + 22 =
    
8) (44 - 14) ÷ 5 =
    
Worksheet Mill Pack Code: 0028T5

Middle School Spring Review Pack — Full-Year Math Practice (Grades 6–8)

Section 2 of 5: Multi-Digit Long Division with Decimal Quotients
Name: ________________________________ Date: ____________________ Score: _________

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

1.
 
4
249
2.
 
8
300
3.
 
8
218
4.
 
2
957
5.
 
4
386
6.
 
4
335
7.
 
5
447
8.
 
5
307
Worksheet Mill Pack Code: 0028T5

Middle School Spring Review Pack — Full-Year Math Practice (Grades 6–8)

Section 3 of 5: Circle Geometry: Circumference & Area Calculations
Name: ________________________________ Date: ____________________ Score: _________

Find the circumference, area, or missing radius for each circle. Use 3.14 for pi and label your answers with proper units.

1. Find Circumference & Area:
18 cm
Answer:
        
2. Find Circumference & Area:
11 cm
Answer:
        
3. Find Circumference & Area:
15 cm
Answer:
        
4. Find Circumference & Area:
10 cm
Answer:
        
5. Find Circumference & Area:
8 cm
Answer:
        
6. Find Circumference & Area:
2 cm
Answer:
        
Worksheet Mill Pack Code: 0028T5

Middle School Spring Review Pack — Full-Year Math Practice (Grades 6–8)

Section 4 of 5: Multi-Digit Decimal Operations (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

Middle School Spring Review Pack — Full-Year Math Practice (Grades 6–8)

Section 5 of 5: Spring Multi-Step Problem Solving & Proportions
Name: ________________________________ Date: ____________________ Score: _________

Read each word problem carefully. Show your work in the space provided, and write your final answer with its matching unit.

1.

The middle school agriculture club calculated the soil needs for their spring planting plots. They prepared 7 raised garden beds requiring 5 bags of organic compost each, plus 5 large patio planters requiring 3 bags each. How many bags of organic compost did they need altogether?

Answer:
        
2.

A science class measured rainwater harvested from the school roof during an active spring storm cycle. Over 5 rainy days, the collection cistern collected 48 liters of water each day. The class then pumped 119 liters to irrigate the school greenhouse. How many liters of water remained in the cistern?

Answer:
        
3.

The middle school agriculture club calculated the soil needs for their spring planting plots. They prepared 6 raised garden beds requiring 8 bags of organic compost each, plus 4 large patio planters requiring 3 bags each. How many bags of organic compost did they need altogether?

Answer:
        
4.

A science class measured rainwater harvested from the school roof during an active spring storm cycle. Over 6 rainy days, the collection cistern collected 50 liters of water each day. The class then pumped 155 liters to irrigate the school greenhouse. How many liters of water remained in the cistern?

Answer:
        
5.

The middle school agriculture club calculated the soil needs for their spring planting plots. They prepared 5 raised garden beds requiring 8 bags of organic compost each, plus 6 large patio planters requiring 2 bags each. How many bags of organic compost did they need altogether?

Answer:
        
6.

A science class measured rainwater harvested from the school roof during an active spring storm cycle. Over 5 rainy days, the collection cistern collected 48 liters of water each day. The class then pumped 176 liters to irrigate the school greenhouse. How many liters of water remained in the cistern?

Answer:
        

Ways to Use This Pack

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.

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.

Weekly classroom routine: Distribute as a weekly review challenge or modular station packet. Pair students for Section 3 (Circles) to discuss radius versus diameter before computing.

Pack Contents & Skill Breakdown

5 Sections • 40 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 Order of Operations: Multi-Step Expressions with Exponents
Mixed Review • Designed to practice: 5.OA.A.1 (Prerequisite)
Standard 8 Customize →
Section 2 Multi-Digit Long Division with Decimal Quotients
Division • Designed to practice: 7.NS.A.2.d
Challenge 8 Customize →
Section 3 Circle Geometry: Circumference & Area Calculations
Geometry
Standard 6 Customize →
Section 4 Multi-Digit Decimal Operations (Addition & Subtraction)
Decimals • Designed to practice: 5.NBT.B.7 (Prerequisite)
Challenge 12 Customize →
Section 5 Spring Multi-Step Problem Solving & Proportions
Word Problems • Designed to practice: 8.EE.C.7 8.SP.A
Challenge 6 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 as a weekly review challenge or modular station packet. Pair students for Section 3 (Circles) to discuss radius versus diameter before computing.

Home & Homework Strategy

Assign one section per session (15–20 minutes). Use the clean answer keys for student self-checks and discussion of step-by-step arithmetic methods.

Frequently Asked Questions

Which middle school grades are covered in this review pack?

This packet bridges Grades 6, 7, and 8, targeting core pre-algebra expressions (EE), number system operations (NS), geometry formulas including circles (G), and multi-step rate and proportion word problems.

Is this packet designed to mimic any state standardized test?

No. We do not name, imitate, or align with any state testing formats. The problems provide direct, honest practice of fundamental middle school curriculum standards.

How are circular calculations formatted in Section 3?

In alignment with our circles generator, calculations use the standard decimal approximation of pi (3.14) to maintain clear, verifiable arithmetic on standard Letter and A4 printable sheets.