NCERT MCQ Solutions for Class 6 Maths – Ganita Prakash Chapter-wise with Answer

TABLE OF CONTENTS

• Class 6 Maths MCQs Chapter-wise
• What Each Chapter’s MCQs Cover
• Sample Class 6 Maths MCQs with Answers
• Types of MCQs You Will Practise
• Why MCQ Practice Matters in Class 6
• 8 Smart Strategies to Solve MCQs
• Common Mistakes to Avoid
• 4-Week Revision Plan
• About Ganita Prakash
• FAQs on Class 6 Maths MCQs

Class 6 Maths MCQs Chapter-wise – Ganita Prakash (English and Hindi Medium)

Select a chapter to start practising. Every chapter page has its own set of MCQs with answers and explanations, and Hindi Medium students can open the same chapter in Hindi from the third column.

Hindi Medium students get the same chapter-wise practice, based on गणित प्रकाश (Ganit Prakash), the Hindi edition of Ganita Prakash, with every answer explained in Hindi. कक्षा 6 गणित प्रकाश के सभी 10 अध्यायों के बहुविकल्पीय प्रश्न (MCQ) उत्तर और व्याख्या सहित हिंदी माध्यम में उपलब्ध हैं। ऊपर की तालिका में अपने अध्याय के सामने दिए गए हिंदी लिंक पर क्लिक करके अभ्यास शुरू करें।

What Each Ganita Prakash Chapter’s MCQs Cover

Here is what the MCQs of each Ganita Prakash chapter test, with one quick tip per chapter to help you avoid the most common traps.

The MCQs test number sequences such as counting numbers, odd and even numbers, square, triangular and cube numbers, Virahanka numbers and powers of 2, along with ways of showing them in pictures. They also check relations among sequences, for example why adding odd numbers starting from 1 always gives a square number, and shape sequences such as regular polygons, complete graphs, stacked squares and triangles, and the Koch snowflake.

QUICK TIP:
Write the first four terms of a sequence and look at the difference between neighbouring terms before you check the options.

Questions cover the basic ideas of geometry (point, line segment, line and ray) and the parts of an angle, its vertex and arms. You will compare angles, measure them with a protractor, draw angles of a given size and classify them as acute, right, obtuse, straight or reflex. Real-life MCQs ask about the angle between the hands of a clock or between two spokes of a wheel.

QUICK TIP:
Estimate first: is the angle less than 90°, exactly 90° or more? This removes wrong options straight away.

These MCQs build number sense and logical thinking. Topics include supercells (numbers bigger than all their neighbours in a grid), patterns on the number line, digit sums, palindromes, Kaprekar’s magic number 6174, clock and calendar numbers, mental maths, the unsolved Collatz conjecture, simple estimation and winning strategies for games such as the race to 21.

QUICK TIP:
Use estimation to rule out options that are clearly too large or too small before you calculate.

The questions focus on collecting and organising data, tally marks, frequency, pictographs and their scale, and reading and drawing bar graphs. Many MCQs give you a graph and ask you to draw a conclusion, pick a suitable scale or notice when an attractive infographic could mislead the reader.

QUICK TIP:
Always read the scale or key first. If one symbol stands for 10 students, half a symbol stands for 5.

MCQs cover common multiples and common factors (through games such as Idli-Vada), prime and composite numbers, the Sieve of Eratosthenes, co-prime numbers, prime factorisation and divisibility tests for 2, 4, 5, 8 and 10.

QUICK TIP:
1 is neither prime nor composite, and 2 is the only even prime number. Both facts appear often in the options.

Questions test the perimeter of rectangles, squares, triangles and regular polygons, area in square units, the area of rectangles and squares, finding area on grid paper, tangram pieces and the area of a triangle as half of a rectangle. Some MCQs show that two shapes can have the same area but different perimeters and the other way round.

QUICK TIP:
Perimeter is a length (cm, m), while area is measured in square units (sq cm, sq m), so check the unit in every option.

MCQs cover fractional units and equal sharing, fractions as parts of a whole, measuring with fractional units, marking fractions on the number line, mixed fractions, equivalent fractions, lowest terms, comparing fractions and adding or subtracting fractions with Brahmagupta’s method of making the denominators equal.

QUICK TIP:
Change the fractions into equivalent fractions with the same denominator before you compare, add or subtract them.

These questions check how well you understand constructions with a compass and ruler: circles, centre and radius, arcs used in artwork, the properties of squares and rectangles, constructing them from given sides or from a side and a diagonal, the diagonals of rectangles and squares, and points that are equidistant from two given points.

QUICK TIP:
The gap between the compass point and the pencil tip is the radius and many MCQs are built on this single idea.

MCQs ask you to spot figures with line symmetry, count their lines of symmetry, recognise rotational symmetry and find the angles of symmetry and the centre of rotation. Designs such as rangoli, kolam and tile patterns appear throughout the questions.

QUICK TIP:
A square has 4 lines of symmetry and looks the same after turns of 90°, 180° and 270°, so use it as your reference shape.

This chapter introduces negative numbers and integers. MCQs are based on Bela’s Building of Fun with floors above and below the ground, the number line, comparing integers, additive inverses, adding and subtracting integers, the token model with positive and negative tokens and real-life uses such as bank credit and debit, heights above and below sea level, and temperatures below zero.

QUICK TIP:
On the number line, the number further to the right is greater, so –3 is greater than –7.

Sample Class 6 Maths MCQs with Answers

Try these 10 questions, one from each chapter, before you open the chapter pages. Each answer comes with a one-line explanation.

• Q1. (Chapter 1 – Patterns in Mathematics) What is the sum of the first five odd numbers, 1 + 3 + 5 + 7 + 9?
  (a) 20 (b) 25 (c) 30 (d) 15
  Answer:
  (b) 25. Adding odd numbers starting from 1 always gives a square number, and here 5 × 5 = 25.
• Q2. (Chapter 2 – Lines and Angles) The Ashoka Chakra has 24 equally spaced spokes. What is the angle between two neighbouring spokes?
  (a) 12° (b) 15° (c) 18° (d) 24°
  Answer:
  (b) 15°. A full turn is 360°, and 360° ÷ 24 = 15°.
• Q3. (Chapter 3 – Number Play) What is Kaprekar’s magic number for four-digit numbers?
  (a) 1089 (b) 6174 (c) 495 (d) 9999
  Answer:
  (b) 6174. For any four-digit number whose digits are not all the same, repeatedly subtracting the smallest number made from its digits from the largest one leads to 6174.
• Q4. (Chapter 4 – Data Handling and Presentation) In a pictograph, one symbol stands for 10 students. How many students do 3½ symbols show?
  (a) 30 (b) 35 (c) 40 (d) 3½
  Answer:
  (b) 35. Three full symbols show 30 students and half a symbol shows 5 more.
• Q5. (Chapter 5 – Prime Time) Which pair of numbers is co-prime?
  (a) 12 and 18 (b) 15 and 25 (c) 8 and 9 (d) 14 and 21
  Answer:
  (c) 8 and 9. Their only common factor is 1, even though neither number is prime.
• Q6. (Chapter 6 – Perimeter and Area) A rectangle is 8 cm long and 5 cm wide. What is its perimeter?
  (a) 13 cm (b) 26 cm (c) 40 cm (d) 40 sq cm
  Answer:
  (b) 26 cm. Perimeter = 2 × (8 + 5) = 26 cm; 40 sq cm is its area, not its perimeter.
• Q7. (Chapter 7 – Fractions) Which fraction is equivalent to 3/4?
  (a) 6/8 (b) 4/6 (c) 9/16 (d) 3/8
  Answer:
  (a) 6/8. Multiplying both the numerator and the denominator of 3/4 by 2 gives 6/8.
• Q8. (Chapter 8 – Playing with Constructions) What is the distance from the centre of a circle to any point on the circle called?
  (a) Diameter (b) Radius (c) Arc (d) Perimeter
  Answer:
  (b) Radius. Every point on a circle is at the same distance, the radius, from its centre.
• Q9. (Chapter 9 – Symmetry) How many lines of symmetry does a square have?
  (a) 1 (b) 2 (c) 4 (d) 8
  Answer:
  (c) 4. Two lines join the midpoints of opposite sides and two lie along the diagonals.
• Q10. (Chapter 10 – The Other Side of Zero) What is the value of (–5) + 3?
  (a) 8 (b) –8 (c) 2 (d) –2
  Answer:
  (d) –2. Start at –5 on the number line and move 3 steps to the right to reach –2.

Types of MCQs You Will Practise in Class 6 Maths

Class 6 Maths objective questions are not all alike. Knowing the common types of MCQs helps you pick the right approach for each question.

• Concept-based MCQs: test definitions and properties, such as what makes a number prime or which part of an angle is its vertex.
• Calculation-based MCQs: need a short calculation, such as a perimeter, a sum of integers or the sum of two fractions.
• Picture and graph-based MCQs: ask you to read a figure, a pictograph, a bar graph or a number line.
• Pattern and reasoning MCQs: ask for the next term, the rule behind a sequence or the winning move in a game.
• Assertion–Reason MCQs: give a statement and a reason; you decide whether both are true and whether the reason explains the statement.
• Case-based (competency-based) MCQs: begin with a short real-life situation, such as a bank passbook, a running track or a class survey, followed by questions that apply the concept.

Practising a mix of these types prepares you for whatever format your school paper uses and builds the application skills that competency-based questions look for.

Why MCQ Practice Matters in Class 6 Maths

Class 6 is the year when mathematics becomes more abstract, with fractions, negative numbers, angles and constructions arriving together. National data shows why steady practice matters. In the PARAKH Rashtriya Sarvekshan 2024, the Ministry of Education’s survey of more than 21 lakh students in Classes 3, 6 and 9, Class 6 students scored an average of 46% in Mathematics, their weakest subject, and only 29% could represent and compare common fractions such as 1/2 and 1/4. Short, regular MCQ practice helps close such gaps early.

• MCQs carry marks: Most Class 6 Maths papers open with a section of 1-mark MCQs. For example, Tiwari Academy’s Ganita Prakash sample papers have 12 MCQs of 1 mark each in Section A.
• Instant feedback: Every answer comes with an explanation, so you can see exactly where your thinking went wrong.
• Quick revision: A short MCQ set covers a whole chapter in minutes, which makes it ideal before unit tests.
• Speed and accuracy: Timed practice trains you to think quickly without careless errors, a skill you will need in every later class.
• Olympiad readiness: Maths Olympiads use multiple choice questions, so regular practice builds both confidence and reasoning.

How to Solve MCQs Quickly and Correctly: 8 Smart Strategies

1. Read the whole question and all four options before you choose. Many wrong options are designed to look almost right.
2. Estimate first. Remove options that are clearly too big, too small or in the wrong unit.
3. Draw a rough figure for questions on angles, perimeter, area, constructions and symmetry.
4. Check units and signs: cm or sq cm, + or –, and the degree sign (°) for angles.
5. Work backwards when direct solving is slow: put an option into the question and see if it fits.
6. Watch for words such as NOT, EXCEPT, always and never, because they change the answer.
7. Do not get stuck. Mark a difficult question, move on and come back to it at the end.
8. Review every wrong answer and write its reason (concept, calculation or reading error) in a mistakes notebook.

Common Mistakes to Avoid in Class 6 Maths

4-Week Revision Plan Using Chapter-wise MCQs

Follow this simple plan before your half-yearly or annual exams. About 30 to 40 minutes a day is enough.

Short on time before a unit test? Solve the MCQs of only the chapters in your test syllabus, then revise the explanations of every question you got wrong.

About Ganita Prakash – NCERT’s Class 6 Maths Book

Ganita Prakash is NCERT’s Mathematics textbook for Grade 6, written under the National Curriculum Framework for School Education (NCF-SE) 2023 in line with NEP 2020. It replaced the older 14-chapter Class 6 Maths book from the 2024-25 session and has 10 chapters; the current edition is the 2026-27 reprint, and the Hindi edition is called गणित प्रकाश. The book teaches mathematics through patterns, puzzles, games and stories, with ‘Figure it Out’ exercises, ‘Math Talk’ discussions and short history notes on how Indian mathematicians such as Brahmagupta worked with fractions and negative numbers. It ends with Learning Material Sheets for hands-on activities. Because our MCQs use the book’s own terms, examples and chapter order, practising them is also a quick way to revise the textbook itself.

• Students of CBSE schools and state boards that follow NCERT textbooks, in English or Hindi Medium.
• Teachers, for quick class quizzes, exit tickets and homework checks.
• Parents, to check their child’s understanding one chapter at a time.
• Olympiad aspirants, to build speed with MCQ-format questions.

Once you have finished a chapter on this page, keep practising on your phone with the Tiwari Academy MCQ Online Test App, available for Android and iOS. Short sessions add up quickly: ten minutes of MCQs on the way to school or during a break is enough to keep a chapter fresh. For the best results, set a timer, attempt a full chapter without looking at the answers and then read the explanation of every question you missed. Repeat the same chapter a few days later and compare your two scores. This simple cycle of attempt, check and re-attempt turns MCQ practice into steady improvement and it builds the speed and confidence you need in unit tests, half-yearly and annual examinations.

MCQs show you what you know, while NCERT Solutions show you how to reach every answer. When an MCQ explanation points to a gap, open our NCERT Solutions for Class 6 Maths and work through the chapter’s ‘Figure it Out’ questions with complete step-by-step answers. The solutions follow the latest Ganita Prakash textbook for 2026-27, are available in English and Hindi Medium and are especially useful for long-answer questions, constructions and case-based problems that need full working in the exam. A simple routine works best: read the chapter, study its NCERT Solutions and then solve the chapter’s MCQs on this page to check your understanding. Together, they give you complete preparation for Class 6 Maths, with concept clarity from the solutions and exam speed from the MCQs.

FAQs on Class 6 Maths MCQs