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Previous year question hub

Calculus - Statistics Previous Year Questions

Practice Calculus - Statistics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers
8Years
50Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 39 78%
Easy 9 18%
Hard 2 4%

Question type distribution

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

MCQ 30 60%
Numerical Answer Type (NAT) 15 30%
MSQ 5 10%

Subject weightage

Top subjects by unique question coverage.

Statistics
50 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
50 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Single-variable Calculus and Integration
26 Qs
Functions of several real variables
15 Qs
Sets, Sequences and Series
9 Qs

Paper coverage

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

Statistics (ST) 2026
7 Qs
Statistics (ST) 2025
7 Qs
Statistics (ST) 2024
6 Qs
Statistics (ST) 2023
5 Qs
Statistics (ST) 2022
6 Qs
Statistics (ST) 2021
6 Qs
Statistics (ST) 2020
6 Qs
Statistics (ST) 2019
7 Qs

Browse by subtopics

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

Single-variable Calculus and Integration

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

26 questions8 papers8 years

Functions of several real variables

Explore previous-paper coverage, trends and focused practice for Functions of several real variables.

15 questions8 papers8 years

Sets, Sequences and Series

Explore previous-paper coverage, trends and focused practice for Sets, Sequences and Series.

9 questions6 papers6 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Statistics (ST) 202620267View paper
Statistics (ST) 202520257View paper
Statistics (ST) 202420246View paper
Statistics (ST) 202320235View paper
Statistics (ST) 202220226View paper
Statistics (ST) 202120216View paper
Statistics (ST) 202020206View paper
Statistics (ST) 201920197View paper

Sample previous year questions

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

1
2019 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2019
\[\lim_{n\to\infty}\sum_{k=1}^{n}\frac{n}{n^2+k^2}\] is equal to
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2
2020 · Statistics · Calculus · Functions of several real variables
Statistics (ST) 2020
Let \(S = \{(x,y) \in \mathbb{R} \times \mathbb{R} : x^2 - y^2 = 4\}\) and \(f : S \to \mathbb{R}\) be defined by \(f(x,y) = 6x + y^2\), where \(\mathbb{R}\) denotes the set of all real numbers. Then
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3
2021 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2021
\(\lim_{n \to \infty} \left( 2^n + n 2^n \sin^2 \frac{n}{2} \right)^{\frac{1}{2n - n \cos \frac{1}{n}}}\) equals ________
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4
2022 · Statistics · Calculus · Functions of several real variables
Statistics (ST) 2022
Let \(f: \mathbb{R}^2 \to \mathbb{R}\) be a function defined by
\[f(x, y) = \begin{cases} \frac{x^2 y}{x^2 + y^2}, & (x, y) \neq (0,0), \\ 0, & (x, y) = (0,0). \end{cases}\]
Then which one of the following statements is true?
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5
2023 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2023
The area of the region bounded by the parabola \( x = -y^2 \) and the line \( y = x + 2 \) equals
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6
2024 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2024
Let \( D \) be the region bounded by the line \( y = x \) and the parabola \( y = 4x - x^2 \). Then \( \iint_D x \, dx \, dy \) equals
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