Navodaya Arithmetic Test 2027: Practice Questions, Answers & Explanations

Navodaya Arithmetic Test 2027 is an important section of the Jawahar Navodaya Vidyalaya Selection Test (JNVST). A good understanding of basic mathematical concepts, regular practice and careful calculation can help students improve their performance in this section.

Many students find Arithmetic difficult because they try to memorise formulas without understanding how to use them in Navodaya Class 6 Entrance Exam 2027. The better approach is to learn the basic concept, solve questions step by step and practise different question patterns.

Learn how students can approach important Arithmetic concepts, understand the JNVST 2027 exam pattern, try sample questions with answers and learn how to prepare effectively. We have also included a downloadable collection of Navodaya Arithmetic previous-year questions from 2020 to 2025 for additional practice.

JNVST 2027 Arithmetic Test: Exam Pattern

The JNVST Class 6 entrance exam for the 2027 admission session follows a revised exam pattern. The Arithmetic section carries 25 marks.

Students should aim to solve each question accurately without spending too much time on a single problem. Since there are 20 questions to answer in approximately 30 minutes, practising with a timer can help improve speed and time management.

Navodaya Class 6 Arithmetic Syllabus 2027

Before starting preparation, students should understand which topics are included in the revised Navodaya Class 6 Arithmetic Syllabus 2027. The Arithmetic section tests basic mathematical understanding and the ability to apply concepts to simple problems.

The main topics include:

1. Number System and Numeric Operations
2. Four Fundamental Operations
3. Factors and Multiples
4. Fractions
5. Measurement and Unit Conversion
6. Simplification of Numerical Expressions
7. Perimeter and Area
8. Types of Angles and Their Applications
9. Data Analysis

Students should give attention to understanding each topic rather than memorising answers. Practising questions from different difficulty levels will help them become more confident.

Important note about JNVST previous-year questions: Previous JNVST papers are useful for understanding question styles and improving problem-solving skills. However, older papers may contain topics that are not part of the revised 2027 Arithmetic syllabus. For example, some older question collections include decimals, percentage, profit and loss, simple interest, speed and distance, volume and approximation. Always give priority to the latest official JNVST 2027 prospectus.

Important Arithmetic Topics to Practise for JNVST 2027

1. Number System and Place Value

The number system is one of the basic areas of Arithmetic Topics to Practise for JNVST 2027. Students should understand place value, number names, ascending and descending order, prime numbers and the formation of the greatest or smallest number using given digits.

Remember these points:

• The place value of a digit depends on its position in a number.
• The greatest number can be formed by arranging the given digits in descending order.
• To form the smallest number, arrange the digits in ascending order, but do not place zero at the beginning.
• A prime number has exactly two factors: 1 and the number itself.
• The number 1 is neither prime nor composite.

2. Four Fundamental Operations and Simplification

Students should be comfortable with addition, subtraction, multiplication and division. Questions may also test the correct order of operations in a numerical expression.

Remember BODMAS:

• Brackets
• Orders
• Division
• Multiplication
• Addition
• Subtraction

Division and multiplication have equal priority, so solve them from left to right. Addition and subtraction also have equal priority and should be solved from left to right.

3. Factors and Multiples

A factor divides a number exactly, while a multiple is obtained by multiplying a number by 1, 2, 3 and so on.

Students should practise:

• Finding factors and multiples
• Prime factorisation
• Highest Common Factor (HCF)
• Least Common Multiple (LCM)
• Divisibility rules

Useful relationship for two positive integers:

HCF × LCM = Product of the two numbers.

4. Fractions

Fractions represent parts of a whole. Students should practise simplifying fractions, comparing fractions, adding and subtracting like fractions, and finding a fraction of a given quantity.

Remember:

• For like fractions, add or subtract the numerators and keep the denominator unchanged.
• For unlike fractions, first make the denominators equal.
• To find a fraction of a quantity, divide the quantity by the denominator and multiply by the numerator.

5. Measurement and Unit Conversion

Measurement questions test whether students can work with different units of length, mass, capacity and time.

Before solving a measurement problem, check whether all the quantities are expressed in the same unit.

6. Perimeter and Area

Students should understand the difference between perimeter and area.

• Perimeter is the total length around a closed shape.
• Area is the space covered by a flat shape.

Important formulas:

7. Types of Angles

Students should identify different types of angles and understand their measurements.

8. Data Analysis

Data-based questions test how well students can read and understand information presented in tables, bar diagrams and pictographs.

To solve these questions:

• Read the title and labels carefully.
• Check the scale used in the graph.
• Identify the value represented by each bar or symbol.
• Perform the required addition, subtraction or comparison.

Navodaya Arithmetic Practice Questions with Answers and Explanations

Try the following questions to check your understanding of important Arithmetic concepts for the upcoming Navodaya Class 6 Entrance Exam. Read each question carefully and attempt to solve it before checking the explanation.

Question 1: Number System

How many prime numbers are there between 20 and 40?

A. 3
B. 4
C. 5
D. 6

Answer: B. 4

Explanation:

The numbers between 20 and 40 that are prime are:

23, 29, 31 and 37.

Each of these numbers has only two factors: 1 and the number itself.

Therefore, there are 4 prime numbers between 20 and 40.

Question 2: Greatest and Smallest Numbers

Find the difference between the greatest and smallest 3-digit numbers formed using all the digits 5, 0 and 8.

A. 324
B. 342
C. 350
D. 358

Answer: B. 342

Explanation:

• Greatest number = 850
• Smallest number = 508

Zero cannot be placed at the beginning of a three-digit number. Therefore, the smallest number is 508.

Difference = 850 − 508 = 342.

Question 3: Division

The divisor is 23, the quotient is 15 and the remainder is 9. Find the dividend.

A. 345
B. 354
C. 363
D. 372

Answer: B. 354

Explanation:

Use the division relationship:

Dividend = Divisor × Quotient + Remainder

= 23 × 15 + 9

= 345 + 9

= 354

Question 4: BODMAS

Find the value of:

72 ÷ 8 + 6 × 3 − 4

A. 21
B. 23
C. 25
D. 27

Answer: B. 23

Explanation:

According to BODMAS, perform division and multiplication before addition and subtraction.

= 9 + 18 − 4

= 27 − 4

= 23

Remember to follow the correct order of operations. Do not simply solve the expression from left to right.

Question 5: Factors

How many factors does the number 48 have?

A. 8
B. 9
C. 10
D. 12

Answer: C. 10

Explanation:

The factors of 48 are:

1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

All these numbers divide 48 exactly.

Therefore, 48 has 10 factors.

Question 6: HCF and LCM

Find the HCF of 18 and 24.

A. 3
B. 6
C. 9
D. 12

Answer: B. 6

Explanation:

Factors of 18 = 1, 2, 3, 6, 9, 18.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.

The common factors are 1, 2, 3 and 6.

The greatest common factor is 6.

Question 7: Fractions

Find the value of:

2/3 + 3/4 − 1/6

A. 1
B. 5/4
C. 7/6
D. 3/2

Answer: B. 5/4

Explanation:

The denominators are different. First, find their LCM.

LCM of 3, 4 and 6 = 12.

Convert the fractions:

2/3 = 8/12

3/4 = 9/12

1/6 = 2/12

Now,

8/12 + 9/12 − 2/12

= 15/12

= 5/4

Question 8: Measurement

A can contains 14.7 litres of oil. How many bottles of capacity 245 mL can be completely filled from it?

A. 50
B. 55
C. 60
D. 65

Answer: C. 60

Explanation:

First, convert litres into millilitres.

14.7 litres = 14.7 × 1,000 = 14,700 mL.

Number of bottles = Total quantity ÷ Capacity of one bottle

= 14,700 ÷ 245

= 60 bottles

Question 9: Perimeter

A rectangle is 12 metres long and 7 metres wide. Find its perimeter.

A. 19 m
B. 28 m
C. 38 m
D. 84 m

Answer: C. 38 m

Explanation:

Perimeter of a rectangle = 2 × (Length + Breadth)

= 2 × (12 + 7)

= 2 × 19

= 38 metres

Question 10: Angles

A bicycle wheel has 36 equally spaced spokes. What is the angle between two adjacent spokes?

A. 8°
B. 10°
C. 12°
D. 15°

Answer: B. 10°

Explanation:

A complete circle measures 360°.

The 36 spokes divide the circle into 36 equal angles.

Angle between two adjacent spokes = 360° ÷ 36

= 10°

Question 11: Data Analysis

The number of books read by a student over four days is given below:

How many more books were read on Wednesday than on Thursday?

A. 8
B. 10
C. 12
D. 15

Answer: B. 10

Explanation:

Books read on Wednesday = 15

Books read on Thursday = 5

Difference = 15 − 5 = 10 books.

How to Prepare for the Navodaya Arithmetic Test 2027

Navodaya Class 6 Arithmetic preparation becomes easier when students follow a regular and organised practice routine. Here are some useful tips for students and parents.

1. Understand the Concepts First

Do not begin by memorising shortcuts or answers. Understand what each mathematical operation means and how a formula works. When the basics are clear, solving different question patterns becomes easier.

2. Practise Topic-wise Questions

Complete one topic at a time. Start with simple questions and gradually move to more challenging ones. This helps students identify areas where they need more practice.

3. Solve Previous-Year Questions

Previous-year questions help students understand how mathematical concepts are tested in the entrance examination. Practise questions from different years and review the solutions after attempting them.

While using older papers, check whether the topic is included in the revised 2027 syllabus.

4. Practise with a Timer

The Arithmetic section has 20 questions and a suggested time of approximately 30 minutes. Students should practise solving questions within a time limit while maintaining accuracy.

5. Maintain a Mistake Notebook

Whenever you make a mistake, write down the question, the correct method and the reason for the mistake. Review this notebook regularly. It can help prevent the same errors during the examination.

6. Revise Formulas and Basic Calculations

Spend a few minutes every day revising important formulas, multiplication tables, number properties, fractions and unit conversions. Regular revision helps students recall concepts more quickly.

7. Take Mock Tests Regularly

Mock tests help students understand their preparation level, improve time management and become familiar with answering objective-type questions. After each test, review incorrect and unanswered questions instead of focusing only on the score.

Download Navodaya Arithmetic Previous-Year Questions PDF (2020–2025)

Practising from Navodaya Class 6 previous-year question papers is one of the useful ways to understand the question patterns in the Navodaya entrance examination.

To support students with their preparation, we have prepared a topic-wise Arithmetic practice resource containing questions from JNVST papers from 2020 to 2025.

The Navodaya Arithmetic Previous-Year Questions PDF includes:

• Topic-wise concepts and important formulas
• Previous-year questions from 2020, 2021, 2022 and 2025
• Step-by-step explanations for solved questions
• Shortcuts and exam tips
• Additional practice questions
• Answers to the practice questions

Click Here for Navodaya Arithmetic Test Notes and Previous-Year Questions PDF Download

Students can use this PDF to practise questions, understand the solutions and revise important mathematical concepts. For the JNVST 2027 exam, use the latest official syllabus as the guide when selecting topics for focused preparation.

Read More at:

• JNVST 2027: Navodaya Class 6 Application Date Extended!
• Jawahar Navodaya Vidyalaya Selection Test (JNVST) 2027: Complete Guide to Class 6 Admission
• Navodaya Class 6 Admission 2027: JNVST Schedule & Last Date to Apply
• Navodaya vs Sainik School: Which is Better for Your Child in 2027?
• Top 10 Mistakes to Avoid While Applying for Navodaya Class 6 Admission 2027
• Navodaya Class 6 Selection Process : How Are Students Selected in JNVST
• JNVST Class 6 Mental Ability Preparation 2027: 50 Tricks + PYQ PDF

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JNVST 2027 Frequently Asked Questions (FAQs)

How many questions are there in the Navodaya Arithmetic Test 2027?

The Arithmetic section of JNVST 2027 has 20 questions carrying a total of 25 marks.

How many marks are in the Arithmetic section in JNVST 2027?

The Arithmetic section carries 25 marks. Each correct answer carries 1.25 marks.

How much time is given for the Navodaya Arithmetic section?

The suggested time for the Arithmetic section in JNVST 2027 is 30 minutes.

Is there negative marking in the Navodaya entrance exam?

No. There is no negative marking for incorrect answers in JNVST 2027.

Which topics should I study for Navodaya Arithmetic 2027?

Students should prepare Number System, Fundamental Operations, Factors and Multiples, Fractions, Measurement, Simplification, Perimeter and Area, Angles and Data Analysis as per the revised syllabus.