✓ Grade 5

5th Grade Math Worksheet Generator

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🎛️ Active Topics4 Selected

📊 20 Problems•⏱️ ~20 Mins

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Adding Unlike FractionsGrades 4–7

5 Qs

🍕

Multiplying FractionsGrades 5–7

5 Qs

🔢

Decimal Operations (+, −, ×, ÷)Grades 5–7

5 Qs

➗

Order of Operations (PEMDAS / BODMAS)Grades 5–8

5 Qs

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PanMaths.com5th Grade Math Comprehensive Review • Version A

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 20

Instructions: Show all your work for each problem. Write final answers clearly on the lines provided.

Section 1Adding Unlike Fractions(Questions 1–5)

12+46

Workspace:

210+36

Workspace:

57+12

Workspace:

110+48

Workspace:

45+46

Workspace:

Section 2Multiplying Fractions(Questions 6–10)

12×68

Workspace:

26×78

Workspace:

24×12

Workspace:

23×78

Workspace:

10.

13×37

Workspace:

Section 3Decimal Operations (+, −, ×, ÷)(Questions 11–15)

11.

47.98+34.16

Workspace:

12.

5.01−4.22

Workspace:

13.

5.1×4.1

Workspace:

14.

15.21+44.39

Workspace:

15.

22.13−10.93

Workspace:

Section 4Order of Operations (PEMDAS / BODMAS)(Questions 16–20)

16.

(5+3)×2

Workspace:

17.

(19+6)÷5+10

Workspace:

18.

(3+5)×6

Workspace:

19.

5×(6+5)−21

Workspace:

20.

(5+3)×2

Workspace:

PanMaths.com • Custom Multi-Topic Math Assessment (Version A)Page 1 of 2

PanMaths.com✅ Master Answer Key & Worked Steps • Version A

Topic: 5th Grade Math Comprehensive Review

Total Questions: 20

TEACHER COPY

Section 1Adding Unlike Fractions

1/2 + 4/6

= 7/6

1. Find Least Common Denominator (LCD) of 2 and 6: LCD = 6

2. Convert to Equivalent Fractions: 1/2 = 3/6 and 4/6 = 4/6

3. Add Numerators: (3 + 4) / 6 = 7/6

2/10 + 3/6

= 7/10

1. Find Least Common Denominator (LCD) of 10 and 6: LCD = 30

2. Convert to Equivalent Fractions: 2/10 = 6/30 and 3/6 = 15/30

3. Add Numerators: (6 + 15) / 30 = 21/30

4. Simplify to Lowest Terms: 7/10

5/7 + 1/2

= 17/14

1. Find Least Common Denominator (LCD) of 7 and 2: LCD = 14

2. Convert to Equivalent Fractions: 5/7 = 10/14 and 1/2 = 7/14

3. Add Numerators: (10 + 7) / 14 = 17/14

1/10 + 4/8

= 3/5

1. Find Least Common Denominator (LCD) of 10 and 8: LCD = 40

2. Convert to Equivalent Fractions: 1/10 = 4/40 and 4/8 = 20/40

3. Add Numerators: (4 + 20) / 40 = 24/40

4. Simplify to Lowest Terms: 3/5

4/5 + 4/6

= 22/15

1. Find Least Common Denominator (LCD) of 5 and 6: LCD = 30

2. Convert to Equivalent Fractions: 4/5 = 24/30 and 4/6 = 20/30

3. Add Numerators: (24 + 20) / 30 = 44/30

4. Simplify to Lowest Terms: 22/15

Section 2Multiplying Fractions

1/2 × 6/8

= 3/8

1. Multiply Numerators: 1 × 6 = 6

2. Multiply Denominators: 2 × 8 = 16

3. Form Intermediate Fraction: 6/16

4. Simplify by Greatest Common Divisor (2): 6 ÷ 2 / 16 ÷ 2 = 3/8

2/6 × 7/8

= 7/24

1. Multiply Numerators: 2 × 7 = 14

2. Multiply Denominators: 6 × 8 = 48

3. Form Intermediate Fraction: 14/48

4. Simplify by Greatest Common Divisor (2): 14 ÷ 2 / 48 ÷ 2 = 7/24

2/4 × 1/2

= 1/4

1. Multiply Numerators: 2 × 1 = 2

2. Multiply Denominators: 4 × 2 = 8

3. Form Intermediate Fraction: 2/8

4. Simplify by Greatest Common Divisor (2): 2 ÷ 2 / 8 ÷ 2 = 1/4

2/3 × 7/8

= 7/12

1. Multiply Numerators: 2 × 7 = 14

2. Multiply Denominators: 3 × 8 = 24

3. Form Intermediate Fraction: 14/24

4. Simplify by Greatest Common Divisor (2): 14 ÷ 2 / 24 ÷ 2 = 7/12

#10

1/3 × 3/7

= 1/7

1. Multiply Numerators: 1 × 3 = 3

2. Multiply Denominators: 3 × 7 = 21

3. Form Intermediate Fraction: 3/21

4. Simplify by Greatest Common Divisor (3): 3 ÷ 3 / 21 ÷ 3 = 1/7

Section 3Decimal Operations (+, −, ×, ÷)

#11

47.98 + 34.16

= 82.14

1. Align Decimal Points: Line up columns by decimal point (47.98 + 34.16)

2. Add Place Values from Right to Left with Carrying

3. Bring down the decimal point: 47.98 + 34.16 = 82.14 ✅

#12

5.01 − 4.22

= 0.79

1. Align Decimal Points & Pad with Zeros: 5.01 − 4.22

2. Subtract Columns from Right to Left (Regroup/Borrow as needed)

3. Bring down the decimal point: 5.01 − 4.22 = 0.79 ✅

#13

5.1 × 4.1

= 20.91

1. Count Decimal Places: 5.1 (1 place) + 4.1 (1 place) = 2 total decimal places

2. Multiply as Whole Numbers: 51 × 41 = 2091

3. Place Decimal Point 2 spots from the right: 20.91 ✅

#14

15.21 + 44.39

= 59.60

1. Align Decimal Points: Line up columns by decimal point (15.21 + 44.39)

2. Add Place Values from Right to Left with Carrying

3. Bring down the decimal point: 15.21 + 44.39 = 59.60 ✅

#15

22.13 − 10.93

= 11.20

1. Align Decimal Points & Pad with Zeros: 22.13 − 10.93

2. Subtract Columns from Right to Left (Regroup/Borrow as needed)

3. Bring down the decimal point: 22.13 − 10.93 = 11.20 ✅

Section 4Order of Operations (PEMDAS / BODMAS)

#16

(5 + 3) × 2

= 16

1. Parentheses: (5 + 3) = 8

2. Multiply: 8 × 2 = 16

#17

(19 + 6) ÷ 5 + 10

= 15

1. Parentheses: (19 + 6) = 25

2. Divide: 25 ÷ 5 = 5

3. Add: 5 + 10 = 15

#18

(3 + 5) × 6

= 48

1. Parentheses: (3 + 5) = 8

2. Multiply: 8 × 6 = 48

#19

5 × (6 + 5) − 21

= 34

1. Parentheses: (6 + 5) = 11

2. Multiply: 5 × 11 = 55

3. Subtract: 55 − 21 = 34

#20

(5 + 3) × 2

= 16

1. Parentheses: (5 + 3) = 8

2. Multiply: 8 × 2 = 16

PanMaths.com • Complete Step-by-Step Answer Key (Version A)Page 2 of 2

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🏛️ Number & Operations in Base Ten✓ Grade 5📐 CCSS.MATH.CONTENT.5.NBT.B.5

5th Grade Math Worksheet Generator: Pedagogical Standards & Implementation

The definitive upper-elementary benchmark worksheet covering unlike fraction arithmetic, multi-digit decimal operations, and multi-step PEMDAS order of operations.

🧠 Core Mathematical Rules & Precedence

Understand the Core Operation: Apply standard mathematical definitions and properties specific to 5th grade math comprehensive review.

Preserve Equality & Order: Execute arithmetic operations sequentially following established mathematical precedence.

Step Verification: Verify calculations at each intermediate milestone to prevent downstream compounding errors.

Simplify Final Results: Express all answers in canonical lowest terms or standard mathematical form.

✏️ Worked Step-by-Step Problem Solution

Worked 5th Grade Math Comprehensive Review Problem

5th Grade Math Comprehensive Review Standard Problem

Step 1: Identify given numerical values and the required target operation.
Step 2: Apply the governing mathematical algorithm and record intermediate calculation lines.
Step 3: Simplify the resulting quantity to irreducible lowest terms.
Step 4: Check the final answer against inverse arithmetic operations.

Verified Solution:Verified Solution in Answer Key

⚠️ Common Student Misconceptions & Traps

⚠️

Rushing Mental Math: Attempting to solve multi-step 5th grade math comprehensive review problems entirely mentally without scratchwork.

⚠️

Forgetting to double-check place-value columns or negative signs during multi-step reductions.

🏫 Classroom Implementation & Printing Best Practices

🛡️

Zero Desk-Copying (Set A / Set B)

Distribute Set A to odd student rows and Set B to even student rows. Both sets test identical difficulty and problem types with different numbers.

📝

Spacious Calculation Workspace

Layout engineered with 2-column wide margins giving students adequate pencil space to record intermediate operations without scratchpaper sprawl.

⏱️

5-Minute Teacher Grading

Page 2 includes a complete teacher master answer key with intermediate steps and final answers for effortless classroom grading or self-checks.

💬 Frequently Asked Questions

Why is this our most popular worksheet preset?

Fifth-grade teachers frequently use this exact 20-problem mix for weekly Friday review spirals because it practices the four hardest grade 5 topics simultaneously.