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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.

19Papers
19Years
61Questions
1Topics

Numerical Methods question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 31 50.8%
Medium 30 49.2%

Question type distribution

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

MCQ 52 85.2%
Numerical Answer Type (NAT) 9 14.8%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
61 Qs

Most asked topics

Top topics across the included previous year papers.

Numerical Methods
61 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Interpolation and Numerical Integration
30 Qs
Linear and Nonlinear Numerical Solvers
22 Qs
Numerical ODE Solutions
9 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) 2011
2 Qs
Engineering Sciences (XE) 2010
2 Qs
Engineering Sciences (XE) 2009
2 Qs
Engineering Sciences (XE) 2008
17 Qs
Engineering Sciences (XE) 2007
20 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.

30 questions16 papers16 years

Linear and Nonlinear Numerical Solvers

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

22 questions6 papers6 years

Numerical ODE Solutions

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

9 questions6 papers6 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Engineering Sciences (XE) 20262026
2 questions in this view		2026
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20252025
1 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20242024
1 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20232023
2 questions in this view		2023
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20222022
1 questions in this view		2022
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20212021
1 questions in this view		2021
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20202020
1 questions in this view		2020
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20192019
1 questions in this view		2019
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20182018
2 questions in this view		2018
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20172017
2 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20162016
1 questions in this view		2016
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20152015
1 questions in this view		2015
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20132013
1 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20122012
1 questions in this view		2012
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20112011
2 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20102010
2 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20092009
2 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20082008
17 questions in this view		2008
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Engineering Sciences (XE) 20072007
20 questions in this view		2007
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

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

1
2007 · Engineering Sciences · Numerical Methods · Linear and Nonlinear Numerical Solvers
Engineering Sciences (XE) 2007
Consider the following four FORTRAN statements
S1: X = 5 ** 3
S2: X = (-5) ** 3.0
S3: X = 5 ** -3
S4: X = 5 ** 3.0
Which of the following sets contains the set of valid statements from above?
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2
2008 · Engineering Sciences · Numerical Methods · Linear and Nonlinear Numerical Solvers
Engineering Sciences (XE) 2008
An approximate solution of the equation \( x^3 - 3x + 1 = 0 \) is 0.347296. Which of the following iterating functions will converge most rapidly to this root?
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3
2009 · Engineering Sciences · Numerical Methods · Linear and Nonlinear Numerical Solvers
Engineering Sciences (XE) 2009
The root of ax + b = 0 (a, b constants), can be found by the Newton-Raphson method with a minimum of
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4
2010 · Engineering Sciences · Numerical Methods · Interpolation and Numerical Integration
Engineering Sciences (XE) 2010
If the quadrature rule \( \int_{0}^{3} f(x) dx = \alpha f(1) + \beta f(3) \) is exact for all polynomials of degree 2 or less, then
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5
2011 · Engineering Sciences · Numerical Methods · Interpolation and Numerical Integration
Engineering Sciences (XE) 2011
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.

The distances covered during four laps of the journey are listed in the table below.
LapDistance (kilometres)Average speed (kilometres per hour)
P1515
Q7545
R4075
S1010
From the given data, we can conclude that the fuel consumed per kilometre was least during the lap

Question diagram

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6
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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