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Previous year question hub

Mathematics Foundation - Environmental Science & Engineering Previous Year Questions

Practice Mathematics Foundation - Environmental Science & Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

6Papers
6Years
57Questions
1Topics

Mathematics Foundation 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 45 78.9%
Medium 12 21.1%

Question type distribution

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

MCQ 29 50.9%
Numerical Answer Type (NAT) 23 40.4%
MSQ 5 8.8%

Subject weightage

Top subjects by unique question coverage.

Environmental Science & Engineering
57 Qs

Most asked topics

Top topics across the included previous year papers.

Mathematics Foundation
57 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
31 Qs
Probability and Statistics
14 Qs
Linear Algebra
12 Qs

Paper coverage

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

Environmental Science & Engineering (ES) 2026
12 Qs
Environmental Science & Engineering (ES) 2025
9 Qs
Environmental Science & Engineering (ES) 2024
9 Qs
Environmental Science & Engineering (ES) 2023
9 Qs
Environmental Science & Engineering (ES) 2022
9 Qs
Environmental Science & Engineering (ES) 2021
9 Qs

Browse by subtopics

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

Calculus

Explore previous-paper coverage, trends and focused practice for Calculus.

31 questions6 papers6 years

Probability and Statistics

Explore previous-paper coverage, trends and focused practice for Probability and Statistics.

14 questions6 papers6 years

Linear Algebra

Explore previous-paper coverage, trends and focused practice for Linear Algebra.

12 questions6 papers6 years

Included previous year papers

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

Paper nameYearPDFAttempt
Environmental Science & Engineering (ES) 20262026
12 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Environmental Science & Engineering (ES) 20252025
9 questions in this view		2025
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Environmental Science & Engineering (ES) 20242024
9 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Environmental Science & Engineering (ES) 20232023
9 questions in this view		2023
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Environmental Science & Engineering (ES) 20222022
9 questions in this view		2022
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Environmental Science & Engineering (ES) 20212021
9 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download

Sample previous year questions

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

1
2024 · Environmental Science & Engineering · Mathematics Foundation · Probability and Statistics
Environmental Science & Engineering (ES) 2024
Ten cards in a pack are numbered as 1, 2, 3. . . .10. The probability of drawing a card with an even number or a number which is a multiple of 5 from the pack is _____.
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2
2025 · Environmental Science & Engineering · Mathematics Foundation · Calculus
Environmental Science & Engineering (ES) 2025
Assuming \(s > |a|\); Laplace transform of \(f(x) = \cosh ax\) is
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3
2021 · Environmental Science & Engineering · Mathematics Foundation · Calculus
Environmental Science & Engineering (ES) 2021
A tangent is drawn on the curve of the function y = x^2 at the point (x, y) = (3, 9). The slope of the tangent is ______.
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4
2022 · Environmental Science & Engineering · Mathematics Foundation · Probability and Statistics
Environmental Science & Engineering (ES) 2022
A student reported following arsenic concentrations in water samples:
Arsenic concentration (mg/L)0.100.120.200.050.400.300.35

Which one of the following is a correct statement about arsenic concentration distribution?
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5
2023 · Environmental Science & Engineering · Mathematics Foundation · Calculus
Environmental Science & Engineering (ES) 2023
Given are two ordinary differential equations
P: \(\frac{dy}{dx} + x = x \sin y\)
Q: \(\frac{dy}{dx} + x y = e^x y\)
The correct choice is
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6
2026 · Environmental Science & Engineering · Mathematics Foundation · Linear Algebra
Environmental Science & Engineering (ES) 2026
If \(2X + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = \begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}\), then \(X\) is ______.
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