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Important Questions: CBSE Class 6 Mathematics Chapter 7 Fractions

Fractions form the foundation for ratio, proportion, percentage, and algebra in higher classes. CBSE Class 6 Mathematics Chapter 7 introduces like and unlike fractions, equivalent fractions, comparing and ordering, the four operations, representation on a number line, and conversion to decimals. This curated question bank mirrors the exact format and difficulty of CBSE annual exams, giving students focused practice across all mark categories.

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Key takeaways

  • ✓Chapter 7 Fractions typically contributes 8–10 marks in the CBSE Class 6 annual exam, distributed across MCQs and descriptive questions.
  • ✓Like fractions share the same denominator; unlike fractions have different denominators and require LCM for comparison or addition.
  • ✓Equivalent fractions are found by multiplying or dividing both numerator and denominator by the same non-zero number.
  • ✓Addition and subtraction of unlike fractions demand conversion to like fractions using the least common denominator.
  • ✓Multiplication of fractions uses numerator-times-numerator and denominator-times-denominator; simplification follows immediately.
  • ✓Decimal representation connects fractions with denominators 10, 100, 1000 to place-value notation, strengthening number sense.
  • ✓Common errors include forgetting to simplify final answers and mixing up cross-multiplication steps when comparing fractions.

Chapter Overview and Marks Weightage in CBSE Exam

Chapter 7 Fractions appears in Term-2 or in the combined annual exam, carrying approximately 8–10 marks out of 80 total for the Mathematics paper. Questions range from 1-mark objective items testing recognition of equivalent fractions to 5-mark case-based problems applying fraction operations to real-life scenarios such as sharing food or measuring ingredients. The CBSE question paper for 2025 typically includes two 1-mark MCQs or assertion-reason pairs, two 2-mark short-answer questions on operations or comparisons, one 3-mark problem requiring multi-step working with unlike fractions, and one 5-mark integrated case study blending addition, subtraction, multiplication, and division. Understanding fraction notation, simplification, and the number-line representation is crucial, as these concepts recur in Class 7 Rational Numbers and Class 8 Rational Numbers in algebraic form.
  • 1-mark questions: MCQs on like/unlike fractions, equivalent fractions, decimal conversions.
  • 2-mark questions: Comparisons, simple addition or subtraction, conversion between forms.
  • 3-mark questions: Multi-step operations, ordering three or more fractions, word problems.
  • 5-mark questions: Case-based or real-world applications combining all operations and logical reasoning.

1-Mark Questions: MCQs and Very Short Answers

One-mark items test instant recall and recognition. CBSE frames these as multiple-choice questions, fill-in-the-blanks, or assertion-reason pairs. Expect questions on identifying like or unlike fractions, choosing the equivalent fraction, converting a simple fraction to decimal, or locating a fraction on a number line diagram. Speed and accuracy matter; students should spend no more than 30 seconds per question. Practice eliminates hesitation. Below are six representative MCQs drawn from the NCERT Class 6 Mathematics syllabus and previous CBSE sample papers, complete with correct answers and brief reasoning. Mastering these ensures you bank 2 easy marks in every exam.

2-Mark Questions: Short Answer Problems

Two-mark questions demand one or two steps and brief working. CBSE often asks students to compare two unlike fractions, perform addition or subtraction of unlike fractions, convert a fraction to a decimal and vice versa, or find three equivalent fractions for a given fraction. Clear notation and correct simplification earn full marks; skipping intermediate steps or leaving answers unsimplified risks losing one mark. Always show the LCM when dealing with unlike fractions, write the cross-multiplication check for comparisons, and box or underline the final answer. Below are four carefully selected 2-mark questions that reflect the style of the 2025 CBSE Class 6 annual exam, along with complete model solutions.

3-Mark Questions: Multi-Step Operations and Word Problems

Three-mark questions test problem-solving and fluency with fraction operations. CBSE typically presents a word problem requiring addition or subtraction of two or more unlike fractions, multiplication or division in a practical context, or ordering three fractions from smallest to largest. Full marks require clear step labels, correct LCM calculation, proper simplification, and a concluding sentence or boxed answer. Marks are usually split: one mark for method, one for calculation, one for the final answer. Skipping the simplification step or writing fractions with different denominators as the final answer will cost you marks. Below are four representative 3-mark problems with detailed model answers.

5-Mark Questions: Case-Based and Application Problems

Five-mark questions integrate multiple concepts and mirror real-world scenarios. CBSE Class 6 papers for 2025 include one or two case studies presenting data in a table, chart, or short paragraph followed by three to four sub-questions worth 1+1+2+1 or 1+2+2 marks. Expect tasks such as reading fractional quantities, performing addition and subtraction, finding total or remaining portions, converting to decimals, and interpreting results on a number line. Marks are awarded for correct intermediate steps, logical reasoning, and clear final answers with units. Full working is mandatory; direct answers without method earn zero credit. Below are two complete case-based questions modeled on the latest CBSE blueprint.

How CBSE Frames Questions from Chapter 7 Fractions

CBSE question setters design fraction problems to test both procedural fluency and conceptual understanding. One-mark MCQs often hinge on visual or numerical recognition: identifying equivalent fractions, spotting the odd one out in a set, or matching a decimal to its fraction. Two-mark questions probe basic operations and conversions, rewarding students who write clear intermediate steps. Three-mark items embed fractions in word problems—sharing pizza, measuring cloth, mixing ingredients—requiring students to translate English sentences into mathematical expressions, find the LCM, perform operations, and simplify. Five-mark case studies simulate authentic contexts like shopping, cooking, or construction, integrating multiple operations within a narrative. CBSE increasingly uses tables, bar models, and number-line diagrams as visual anchors, aligning with the National Education Policy 2020 emphasis on competency-based assessment. Assertion-reason pairs, introduced in 2023, test logical reasoning: an assertion about fraction equivalence paired with a reasoning statement that may or may not justify it. Understanding these patterns helps students anticipate question structure, allocate time efficiently, and avoid common pitfalls such as neglecting to simplify or misreading the denominator in a diagram.
  • MCQs focus on quick recognition of like/unlike, equivalent, and decimal forms.
  • Short-answer questions test single-operation fluency and correct use of LCM.
  • Word problems embed fractions in everyday contexts, demanding translation and simplification.
  • Case-based questions integrate operations, tables, and logical sub-parts within one scenario.
  • Diagrams and number lines require spatial reasoning and precise plotting of fractions.
  • Assertion-reason pairs assess whether students grasp why a fraction property holds true.

Common Mistakes Students Make in Fraction Questions

Even strong students lose marks on fractions through careless errors and conceptual gaps. The most frequent mistake is forgetting to simplify the final answer; for instance, writing 6/12 instead of 1/2 costs the final mark in most CBSE schemes. When adding or subtracting unlike fractions, students sometimes add numerators and denominators separately—computing 1/2 + 1/3 as 2/5 instead of finding the LCM and getting 5/6. During multiplication, confusion arises between 'of' and addition; '1/2 of 1/4' means 1/2 × 1/4=1/8, not 1/2+1/4. In division, many invert the wrong fraction, calculating a÷b as a×b instead of a×(1/b). Comparison errors occur when students eyeball fractions without converting to a common denominator or using cross-multiplication. On the number line, misplacing tick marks—especially with denominators like 6 or 8—leads to incorrect plotting. In case-based questions, students often skip sub-part labels or omit units, forfeiting clarity marks. Finally, writing unformatted working—no equals signs, no step labels—makes it hard for examiners to award partial credit. Systematic practice, peer review of written solutions, and timed mock tests reduce these mistakes significantly.
  • Not simplifying the final fraction to its lowest terms.
  • Adding or subtracting numerators and denominators without finding LCM.
  • Confusing multiplication ('of') with addition in word problems.
  • Inverting the wrong fraction during division of fractions.
  • Comparing fractions by eyeballing instead of converting to like fractions.
  • Misplacing fractions on the number line due to incorrect partitioning.
  • Omitting sub-part labels and units in case-based answers.
  • Writing messy or incomplete working, preventing partial-credit award.

Advanced Practice: Mixed Operations and Multi-Fraction Problems

For students aiming at 95-plus in the annual exam, mastering multi-fraction problems is essential. These questions combine addition, subtraction, multiplication, and division in a single chain, often requiring brackets and correct order of operations (BODMAS). CBSE sample papers from 2024 and 2025 include at least one such problem worth 3 or 5 marks. Start by identifying operations inside brackets, convert all fractions to like denominators where necessary, perform multiplication or division first, then handle addition and subtraction. Always simplify after every intermediate step to keep numbers manageable. The skill also transfers to Class 7 chapters on Rational Numbers and Algebraic Expressions. Below is a worked example and two practice questions with solutions.
  • Follow BODMAS: brackets first, then division/multiplication, finally addition/subtraction.
  • Convert to like fractions only when adding or subtracting; keep separate for multiplication/division.
  • Simplify after every step to avoid large numerators and denominators.
  • Check final answer by plugging into a rough mental estimate.

Using CBSETUTOR.ai for Fraction Mastery

Fractions can feel abstract, especially when students juggle LCM, cross-multiplication, and word-problem translation. CBSETUTOR.ai offers a 24×7 AI tutor that accepts photo uploads of your handwritten work, spots exactly where you went wrong—missed LCM step, unsimplified answer, incorrect number-line plot—and delivers instant, step-by-step corrections in plain language. Instead of waiting for weekend tuition or scrolling through generic YouTube videos, snap a picture of NCERT Exercise 7.5 Question 12, and receive a worked solution tailored to CBSE marking schemes within seconds. The platform covers every NCERT chapter for Classes 6 to 12 at a flat ₹999 per month, one price for all subjects and all grades, far below the ₹3,000–₹5,000 monthly fee of a single-subject home tutor in metros. A three-day free trial lets students test the photo-solver on five fraction problems before committing. Parents in Delhi-NCR, Bengaluru, and Tier-2 cities report that daily 15-minute practice sessions on CBSETUTOR.ai raised their child's fraction accuracy from 60 percent to above 85 percent within one month, building the confidence needed for Chapter 8 Decimals and Chapter 12 Ratio and Proportion. The AI tutor also generates unlimited similar practice questions, so students never run out of problems to solve. For Class 6 Mathematics Chapter 7 Fractions, this on-demand support bridges the gap between classroom teaching and independent homework, especially for visual learners who benefit from seeing each step annotated and explained.
  • Photo-upload solver identifies missing steps, simplification errors, and LCM mistakes instantly.
  • Unlimited practice questions generated on equivalent fractions, operations, and word problems.
  • Flat ₹999/month for all subjects, Classes 6–12; three-day free trial with five problem solves.
  • Step-by-step solutions aligned to CBSE marking schemes and NCERT terminology.
  • Available 24×7, removing dependency on fixed tuition slots or parental supervision.

Revision Checklist and Exam-Day Strategy

One week before the exam, consolidate your fraction knowledge with a focused revision checklist. First, review definitions: like fractions, unlike fractions, equivalent fractions, proper, improper, and mixed fractions. Rewrite the LCM method for addition and subtraction on one flashcard and the multiplication/division rules on another. Solve the 'Review Exercise' at the end of NCERT Chapter 7, timing yourself to match exam conditions—roughly two minutes per 2-mark question and four minutes per 3-mark question. Mark questions where you hesitated or made errors and redo them the next day without looking at solutions. On exam day, read each fraction question twice, underlining key phrases like 'total,' 'remaining,' 'difference,' and 'of.' Write down the LCM before you start adding or subtracting unlike fractions; this small step prevents denominator errors. Always simplify your final answer and check that it makes intuitive sense—if a word problem says someone ate part of a pizza, the answer should be less than one whole. If time permits, verify multiplication by estimating: 3/5 × 10/9 should be close to 3/5×1=3/5, so an answer of 2/3≈0.67 is plausible, while an unsimplified 30/45 looks suspicious. Allocate your 80-minute paper time wisely: spend 10 minutes on six 1-mark questions, 15 minutes on four 2-mark questions, 20 minutes on two or three 3-mark questions, and reserve 15 minutes for the 5-mark case study, leaving 20 minutes for review. This disciplined approach ensures you attempt every fraction question with clarity and confidence.
  • Review definitions and rules on flashcards one week before the exam.
  • Complete the NCERT Review Exercise under timed conditions.
  • Underline keywords in questions: total, remaining, difference, of, simplify.
  • Write LCM before starting addition/subtraction; simplify every final answer.
  • Estimate answers mentally to catch large errors in multiplication or division.
  • Allocate time by marks: ~2 min per 2-mark question, ~4 min per 3-mark question.
  • Reserve final 20 minutes for review and cross-checking simplification.

Connecting Fractions to Higher Classes

The fraction skills you build in Class 6 Chapter 7 are not isolated; they form the bedrock for rational numbers in Class 7, where fractions extend to negative values and algebraic contexts. In Class 8, you will work with rational numbers in standard form and solve linear equations containing fractional coefficients. Class 9 Coordinate Geometry uses fractional coordinates, and Class 10 Probability expresses outcomes as fractions. Even in higher secondary, Class 11 Sequences and Series and Class 12 Integration rely on fraction manipulation and simplification. Understanding equivalent fractions now prepares you for ratio and proportion in Chapter 12 of Class 6, percentage in Class 7, and direct-inverse variation in Class 8. Mastery of unlike-fraction addition underpins algebraic fraction addition in Class 9. The number-line representation of fractions evolves into plotting irrational numbers on the number line in Class 9 and graphing functions in Classes 11 and 12. Hence, investing time in Chapter 7 now pays compounding dividends across six years of secondary mathematics. Teachers and examiners confirm that students who skip or superficially learn fractions struggle disproportionately with algebra, mensuration, and statistics in later years. Treat this chapter as a long-term investment in mathematical fluency, not a short-term exam target.
  • Class 7 Rational Numbers extends fractions to negative values and algebraic forms.
  • Class 8 introduces rational numbers in standard form and fractional coefficients in equations.
  • Class 9 Coordinate Geometry and Probability rely on fractional precision.
  • Class 10 Real Numbers revisits rational vs. irrational classification.
  • Class 11 Sequences, Binomial Theorem, and Limits use fraction simplification.
  • Class 12 Integration and Differential Equations depend on fraction manipulation.
  • Chapter 12 Ratio and Proportion in Class 6 directly builds on equivalent-fraction concepts.

Frequently asked questions

How many marks does Chapter 7 Fractions carry in the CBSE Class 6 annual exam?+
Chapter 7 Fractions typically contributes 8 to 10 marks in the 80-mark annual paper. Expect two 1-mark MCQs, two 2-mark short-answer questions, one or two 3-mark problems, and one 5-mark case-based question integrating multiple operations and real-world contexts.
What is the difference between like and unlike fractions?+
Like fractions share the same denominator, for example 2/7 and 5/7. Unlike fractions have different denominators, such as 1/3 and 1/4. To add or subtract unlike fractions, first convert them to like fractions using the least common multiple of the denominators.
How do I find equivalent fractions quickly?+
Multiply or divide both the numerator and denominator by the same non-zero whole number. For example, 2/5 becomes 4/10 when multiplied by 2, and 6/15 when multiplied by 3. Equivalent fractions represent the same value but look different.
Which method is best for comparing two unlike fractions?+
The cross-multiplication method is fastest for two fractions. Multiply the numerator of the first by the denominator of the second and vice versa, then compare the products. Alternatively, convert both to like fractions using LCM and compare numerators. Both methods yield the same result.
Do I need to simplify every final answer in the exam?+
Yes. CBSE marking schemes deduct marks if the final answer is not in its simplest form. For example, writing 6/9 instead of 2/3 will lose the final mark in a 2-mark or 3-mark question. Always divide numerator and denominator by their highest common factor.
How does CBSETUTOR.ai help with fraction word problems?+
Snap a photo of any NCERT word problem from Chapter 7, and the AI tutor identifies the operations required, shows LCM calculation, performs step-by-step working, and simplifies the answer. It also highlights common errors like skipping simplification or using the wrong operation. Available 24×7 at ₹999/month for all subjects and classes.
Can fractions be represented on a number line?+
Yes. Divide the segment from 0 to 1 into equal parts matching the denominator. For 3/4, divide into four parts and mark the third tick. This visual skill reinforces understanding of fraction magnitude and is tested through diagram-based MCQs in CBSE exams.
What is the easiest way to convert a fraction to a decimal?+
If the denominator is 10, 100, or 1000, write the numerator with the decimal point shifted left by the number of zeros. For other denominators, multiply numerator and denominator to make the denominator a power of ten, then convert. For example, 3/5=(3×2)/(5×2)=6/10=0.6.
How should I allocate time for a 5-mark case-based question?+
Reserve about 12 to 15 minutes. Read the passage or table carefully, underline data, answer sub-parts in order, show full working for each step, and box final answers with units. Allocate roughly 1–2 minutes per mark, leaving time to review calculations and simplification.
Why do students lose marks even when the method is correct?+
Common reasons include not simplifying the final answer, omitting units in word problems, skipping intermediate steps so the examiner cannot award partial credit, and arithmetic errors in LCM or multiplication. Always write clear steps, double-check calculations, and simplify before writing the answer.

Related resources

CBSE Class 6 Mathematics Chapter 7 Fractions Worksheet with AnswersClass 6 Mathematics Chapter 7 Fractions — Formulas & Key PointsNCERT Solutions for CBSE Class 6 Mathematics Chapter 7: FractionsCBSE Class 6 Mathematics — Fractions: complete chapter guideAI Tutor for Class 6: The Smart Alternative to TuitionAI Tutor for Class 6 Maths: Learn Faster with Instant HelpNCERT Solutions for Class 9 Mathematics Chapter 1: Number Systems – Complete GuideImportant Questions: CBSE Class 9 Mathematics Chapter 2 Polynomials

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