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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

Year-wise coverage for Mathematics Foundation. Each bar uses a separate theme-derived color.

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. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Environmental Science & Engineering (ES) 2026202612View paper
Environmental Science & Engineering (ES) 202520259View paper
Environmental Science & Engineering (ES) 202420249View paper
Environmental Science & Engineering (ES) 202320239View paper
Environmental Science & Engineering (ES) 202220229View paper
Environmental Science & Engineering (ES) 202120219View paper

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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