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Previous year question hub

Numerical Methods - Engineering Sciences Previous Year Questions

Practice Numerical Methods - Engineering Sciences previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

15Papers
15Years
19Questions
1Topics

Numerical Methods question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Numerical Methods. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 11 57.9%
Medium 8 42.1%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 10 52.6%
Numerical Answer Type (NAT) 9 47.4%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
19 Qs

Most asked topics

Top topics across the included previous year papers.

Numerical Methods
19 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Interpolation and Numerical Integration
14 Qs
Numerical ODE Solutions
3 Qs
Linear and Nonlinear Numerical Solvers
2 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Engineering Sciences (XE) 2026
2 Qs
Engineering Sciences (XE) 2025
1 Qs
Engineering Sciences (XE) 2024
1 Qs
Engineering Sciences (XE) 2023
2 Qs
Engineering Sciences (XE) 2022
1 Qs
Engineering Sciences (XE) 2021
1 Qs
Engineering Sciences (XE) 2020
1 Qs
Engineering Sciences (XE) 2019
1 Qs
Engineering Sciences (XE) 2018
2 Qs
Engineering Sciences (XE) 2017
2 Qs
Engineering Sciences (XE) 2016
1 Qs
Engineering Sciences (XE) 2015
1 Qs
Engineering Sciences (XE) 2013
1 Qs
Engineering Sciences (XE) 2012
1 Qs
Engineering Sciences (XE) 2007
1 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Interpolation and Numerical Integration

Explore previous-paper coverage, trends and focused practice for Interpolation and Numerical Integration.

14 questions12 papers12 years

Numerical ODE Solutions

Explore previous-paper coverage, trends and focused practice for Numerical ODE Solutions.

3 questions3 papers3 years

Linear and Nonlinear Numerical Solvers

Explore previous-paper coverage, trends and focused practice for Linear and Nonlinear Numerical Solvers.

2 questions2 papers2 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620262View paper
Engineering Sciences (XE) 202520251View paper
Engineering Sciences (XE) 202420241View paper
Engineering Sciences (XE) 202320232View paper
Engineering Sciences (XE) 202220221View paper
Engineering Sciences (XE) 202120211View paper
Engineering Sciences (XE) 202020201View paper
Engineering Sciences (XE) 201920191View paper
Engineering Sciences (XE) 201820182View paper
Engineering Sciences (XE) 201720172View paper
Engineering Sciences (XE) 201620161View paper
Engineering Sciences (XE) 201520151View paper
Engineering Sciences (XE) 201320131View paper
Engineering Sciences (XE) 201220121View paper
Engineering Sciences (XE) 200720071View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2007 · Engineering Sciences · Numerical Methods · Interpolation and Numerical Integration
Engineering Sciences (XE) 2007
Using the correct values of b and d from Q.25 in the quadrature formula the value of \(\int_{0}^{1} \frac{12}{1+x} dx\) evaluated correct up to 4 decimal places is
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2
2012 · Engineering Sciences · Numerical Methods · Interpolation and Numerical Integration
Engineering Sciences (XE) 2012
The exact solution of the integral \(\int_0^4 (x^2 - 4) dx\) is denoted by \(I_E\). The same integral evaluated numerically by the trapezoidal rule and the Simpson's 1/3 rule are denoted by \(I_T\) and \(I_S\), respectively. The subinterval used in the numerical methods is \(h = 2\). Then
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3
2013 · Engineering Sciences · Numerical Methods · Numerical ODE Solutions
Engineering Sciences (XE) 2013
Using Euler's method to solve the differential equation \[ \frac{d y}{d x} = 2 \cos \left( \frac{4 \pi x}{3} \right) - y, \; y(0) = 1 \] with step-size \( h = 0.25 \), the value of \( y(0.5) \) is
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4
2015 · Engineering Sciences · Numerical Methods · Linear and Nonlinear Numerical Solvers
Engineering Sciences (XE) 2015
The minimum number of iterations required to evaluate $\sqrt{28}$, correct up to three decimal places, by the Newton-Raphson method with an initial guess of 5 is
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5
2016 · Engineering Sciences · Numerical Methods · Interpolation and Numerical Integration
Engineering Sciences (XE) 2016
Let \(P(x)\) and \(Q(x)\) be the polynomials of degree 5, generated by Lagrange and Newton interpolation methods respectively, both passing through given six distinct points on the xy-plane. Which of the following is correct?
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6
2017 · Engineering Sciences · Numerical Methods · Interpolation and Numerical Integration
Engineering Sciences (XE) 2017
Suppose \( \alpha, \beta, \gamma \) and \( \delta \) are constants such that \[ p(x) = \delta + \gamma (x+1) + \beta x(x+1) + \alpha x(x+1)(x-1) \] is the interpolating polynomial for the data \((-1, -3), (0,1), (1,-1), \) and \( (2, -3) \). Then the value of \( \gamma - \beta \) is ______________.
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