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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

Compare question counts across years.

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.

Included previous year papers

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

Paper nameYearPDFAttempt
Statistics (ST) 20262026
7 questions in this view
2026
Statistics (ST) 20252025
7 questions in this view
2025
Statistics (ST) 20242024
6 questions in this view
2024
Statistics (ST) 20232023
5 questions in this view
2023
Statistics (ST) 20222022
6 questions in this view
2022
Statistics (ST) 20212021
6 questions in this view
2021
Statistics (ST) 20202020
6 questions in this view
2020
Statistics (ST) 20192019
7 questions in this view
2019

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
Open complete paper
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
Open complete paper
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
Open complete paper
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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