CBSE Class 7 Mathematics Chapter 10 Ratios, Proportions and Percentages Worksheet with Answers

Before attempting the worksheet, revisit the core ideas from NCERT Class 7 Mathematics Chapter 10. A ratio expresses how many times one quantity contains another, written in simplest form by dividing both terms by their HCF. When two ratios are equal, they form a proportion, which is verified by cross-multiplication: if a:b = c:d then a×d = b×c. Percentages express a number per hundred and are interconverted with fractions and decimals using the rule percent = (fraction × 100). The chapter extends percentages to commercial mathematics: profit or loss is calculated on cost price, and simple interest uses the formula SI = (P × R × T)/100 where P is principal, R is rate per annum, and T is time in years. Understanding these relationships builds the foundation for advanced topics in Class 8 and beyond.

This worksheet is pitched at medium-to-hard difficulty, aligning with the CBSE Class 7 term-end examination standard. Students should allocate approximately 90 minutes in a single sitting to complete all five sections and the case-study question. Section A (MCQs) should take around 12 minutes, Section B (fill-in-the-blanks) about 10 minutes, Section C (matching or true-false) roughly 8 minutes, Section D (short-answer) around 25 minutes, Section E (long-answer and HOTS) approximately 30 minutes, and the case-study question another 5 minutes. Parents are encouraged to use a timer to simulate exam conditions at home. After submission, spend 15-20 minutes reviewing the answer key with your child, discussing any mistakes and reinforcing the correct methods. Regular timed practice using such worksheets builds speed, accuracy and confidence for both school assessments and board-style questions in higher classes.

Multiple-choice questions test quick recall and conceptual clarity. Each MCQ in this section carries one mark and has four options. Focus on eliminating obviously wrong answers first, then apply the concept. For ratio questions, always simplify before matching options. For proportion problems, use cross-multiplication mentally. Percentage questions often involve converting between fraction, decimal and percent forms — practise these conversions until they become automatic. Profit-loss and simple interest MCQs may require you to substitute into standard formulae, so memorise SI = (P×R×T)/100 and Profit% = (Profit/CP)×100. Read each question twice to avoid silly mistakes, especially with negative wording like 'which is NOT a proportion'. Time management is key: spend no more than two minutes per MCQ so you have sufficient time for long-answer questions later.

Fill-in-the-blank questions demand precise recall of definitions, formulae and standard results. Write your answer neatly in the space provided; partial credit is rarely given for incomplete or incorrect terminology. In ratio problems, ensure you simplify fully before writing the answer. For percentage conversions, double-check your arithmetic — a common error is misplacing the decimal point. When a question asks for a formula (like simple interest), write it exactly as taught in NCERT: SI = (P×R×T)/100. Some blanks may test vocabulary: know that two ratios in proportion are called 'proportional' or form a 'proportion'. Others may ask for a computed value, so carry a rough sheet to work out intermediate steps. Always read the sentence with your filled answer to verify it makes grammatical and mathematical sense. These five questions together carry five marks and should take around ten minutes.

Matching questions assess your ability to connect related concepts, while true-false questions test precise understanding of definitions and properties. For match-the-following, draw a rough table on your answer sheet and pair each item in Column A with exactly one item in Column B. Eliminate obvious matches first, then use logical reasoning for the rest. Common pairs in this chapter include: a ratio with its simplest form, a percentage with its decimal equivalent, a profit scenario with its profit percent, or a proportion with its cross-product verification. True-false questions require careful reading — a single word like 'always' or 'never' can flip the truth value. If a statement says 'Profit is always calculated on selling price', mark it False because profit is calculated on cost price. These questions are quick but tricky; budget about eight minutes for this section and avoid rushing through without thinking.

Short-answer questions require you to show working and write a brief explanation alongside your numerical answer. Each question in this section carries two marks — typically one mark for correct method and one for the correct final answer. Write all steps clearly: if you are simplifying a ratio, show the HCF calculation; if solving a proportion, show the cross-multiplication and algebraic manipulation; for percentage problems, show the conversion or calculation explicitly. These questions often involve two-step reasoning, such as finding percentage increase or calculating cost price when selling price and profit percent are given. Use the unitary method or direct formulae as taught in NCERT Class 7 Mathematics Chapter 10. Allocate roughly five minutes per question, totaling 25 minutes for this section. Even if your final answer is incorrect, clear working can earn you partial credit in school assessments.

Long-answer and Higher-Order Thinking Skills questions demand multi-step reasoning, integration of concepts and clear logical presentation. Each question here carries three marks and tests your ability to apply ratios, proportions and percentages in realistic or abstract scenarios. A typical HOTS question might ask you to find the original price when final price and successive percentage changes are given, or to compare two investment options using simple interest. Another might require you to deduce the third term of a continued proportion or solve a word problem involving multiple ratios. Show every intermediate step: define your variables, write the formula, substitute values, solve the equation, and box your final answer. Use proper units (rupees, years, percent) and check that your answer is reasonable in context. Allocate ten minutes per question; if you get stuck, move on and return later. These questions differentiate strong students from average ones, so practise similar problems from NCERT exemplar and past CBSE papers.

Case-study questions, increasingly common in recent CBSE papers, present a short real-life scenario followed by three or four sub-questions that test your ability to extract data, choose the right concept and compute accurately. Read the passage carefully, underline key numerical data and identify which topic each sub-question relates to — ratio, proportion, percentage, profit-loss or simple interest. Typically, sub-questions are sequenced from easy to moderate: the first might ask for a simple percentage, the second for a comparison using ratios, and the third for a compound calculation like profit percent. Marks are distributed as 1+1+2 or 1+1+1+1, so budget your time accordingly. Write each sub-answer on a new line with a clear label (i), (ii), (iii). Even if you cannot solve part (ii), attempt part (iii) independently if it does not depend on the previous answer. This question is an excellent opportunity to score full marks if you stay calm and methodical.

Below is the complete answer key for all sections. Each answer includes a brief explanation or working so students can understand the correct method and learn from any mistakes. Cross-check your answers carefully, awarding yourself marks as per the scheme. If you scored below 60%, revisit the relevant NCERT sections and practise additional problems. If you scored above 80%, challenge yourself with NCERT Exemplar or previous years' CBSE sample papers. Remember, consistent practice and honest self-assessment are the keys to mastering Ratios, Proportions and Percentages. Parents should sit with their child during the review session, discussing alternative methods and reinforcing weak areas. For further doubt-clearing and instant step-by-step solutions, CBSETUTOR.ai offers 24×7 AI-powered tutoring at a flat ₹999 per month for all classes 6–12, with photo-upload problem solving and a three-day free trial.

Even with a detailed worksheet and answer key, students often need personalised guidance to clarify doubts and build deep understanding. CBSETUTOR.ai provides an AI-powered tutor available 24×7, allowing Class 7 students to upload a photo of any ratio, proportion or percentage problem and receive step-by-step solutions instantly. Whether your child is stuck on simplifying a compound ratio, solving a tricky proportion, converting recurring decimals to percentages, or applying the simple interest formula in a word problem, the AI tutor breaks down each step in simple language. Priced at just ₹999 per month for all subjects across Classes 6–12, CBSETUTOR.ai is more affordable than a single hour with a private tutor in most Indian cities. Parents appreciate the transparent flat-fee model and the three-day free trial, which lets families test the platform risk-free. Regular practice on worksheets like this one, combined with on-demand AI support, ensures your child stays ahead in CBSE Mathematics and builds confidence for higher secondary challenges.