
Numerical Ability Topics for CUET UG 2025 : The Numerical Ability section in the CUET UG 2025 exam plays a crucial role in assessing a student’s basic mathematical skills. This section is designed to evaluate the fundamental understanding of mathematical concepts and the ability to apply them to solve real-world problems. It helps determine a student's ability to handle numbers, calculate accurately, and make logical decisions using numerical data.
The Numerical Ability section of CUET UG consists of questions related to various branches of mathematics, primarily covering basic arithmetic, algebra, geometry, and statistics. Below are the main topics that students need to focus on:
Linear Equations: Students should be familiar with solving linear equations in one or more variables. This involves simplifying and finding the values of unknowns.
Quadratic Equations: Solving quadratic equations by factoring, completing the square, or using the quadratic formula is key for this topic.
Polynomials: Basic operations on polynomials, including addition, subtraction, multiplication, and division, are tested.
Exponents and Powers: Understanding how to handle exponents, including laws of exponents, and simplifying expressions involving powers.
Surds and Indices: Working with roots, simplifying expressions involving surds, and understanding index laws.
Percentages : Calculating percentages, percentage increase or decrease, and solving problems involving percentage-based calculations.
Profit and Loss: Understanding the basic concepts of profit, loss, and cost price. Students should be able to calculate the profit or loss percentage based on cost and selling prices.
Discounts: Applying and calculating discounts in various scenarios, including successive discounts.
Ratios: Understanding the concept of ratios and their simplification.
Proportions: Solving problems based on direct and inverse proportions, and setting up proportional equations.
Partnerships: Solving problems involving partnership shares and profit sharing, often using the concept of ratios.
Time and Work Problems: Solving problems related to the time taken to complete a job by a single person or a group of people. It involves concepts like work efficiency, total work, and combined work problems.
Work and Wages: Calculating the amount of work done or wages earned when multiple people are involved in a task.
Basic Formulas: Understanding the basic formula.
Relative Speed : Solving problems involving relative motion, especially when two objects are moving towards or away from each other.
Time Taken for Different Speeds: Applying the formula to solve real-life problems, like traveling different distances at different speeds.
Simple Average : Calculating the average (mean) of a set of numbers.
Weighted Average: Understanding how to calculate averages where different data points contribute differently.
Average Speed: Finding average speed when distances and speeds are varying in multiple stages.
Area and Perimeter: Calculating the area and perimeter of common 2D shapes such as squares, rectangles, triangles, and circles.
Surface Area and Volume: For 3D objects like cubes, cuboids, cylinders, cones, and spheres, students should know how to calculate surface areas and volumes.
Mixtures and Allegations: Problems involving the mixing of substances with different values, using the concept of weighted averages.
Whole Numbers and Natural Numbers: Understanding the properties of different types of numbers.
Prime and Composite Numbers: Identifying prime numbers, factors, multiples, and solving problems based on prime factorization.
LCM and HCF: Least common multiple and highest common factor—students should be able to solve problems involving these concepts, including word problems.
Divisibility Rules: Using divisibility rules for numbers like 2, 3, 5, 9, etc.
Basic Probability: Understanding the basic concept of probability and calculating the probability of simple events.
Problems on Probability: Solving problems based on events, such as drawing cards from a deck, tossing coins, or rolling dice.
Tables, Graphs, and Charts: Students need to interpret data from bar graphs, pie charts, line graphs, and tables.
Mean, Median, Mode: Understanding measures of central tendency and how to calculate them based on the provided data.
Range and Standard Deviation: Calculating the range and understanding the concept of standard deviation in data sets.
In the CUET UG 2025, the Numerical Ability section will likely include multiple-choice questions (MCQs) that test a student’s understanding of the above topics. The marking scheme typically follows:
Correct Answer: +5 points.
Incorrect Answer: -1 point (negative marking).
This means it is crucial to attempt only those questions in which the student is confident, as incorrect answers will lead to negative marking.
Conceptual Understanding: Start by understanding the basic concepts of mathematics. Strong fundamentals will make it easier to apply them to problem-solving scenarios.
Practice Regularly: Consistent practice is key. Try solving previous years’ questions and take mock tests to build confidence.
Time Management: Since the exam has a strict time limit (60 minutes for 50 questions), practice solving problems within a set time to improve speed and accuracy.
Use NCERT Textbooks: Focus on NCERT textbooks for fundamental concepts, especially for Algebra, Mensuration, and Number Systems.
Comprehensive guides, practice papers, mock tests, and video lectures designed to help students excel in the CUET 2025 exam.
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