Mathematics-IV (BAS303) important questions and topics for AKTU

These are ranked by how often AKTU repeats them across 10 papers. Repeated questions and "very likely" topics are the safest marks in the exam.

Most repeated Mathematics-IV questions

Two independent samples of 8 and 7 items respectively had the following values of the variables: Sample I: 9 11 13 11 15 9 12 14, Sample II: 10 12 10 14 9 8 10. Is the difference between the means of the sample significant? (7 marks, 2025, Statistical Tests of Significance) – also asked in 2021, 2022, 2023, 2024, 2025, 2026
A string is stretched and fastened to two points l apart, motion is started by displacing the string into the form y = k(lx – x²) from which it is released at time t=0. Find the displacement of any point on the string at a distance of x from one end at time t. (7 marks, 2025, Heat and Wave Equations) – also asked in 2021, 2022, 2023, 2024, 2026
By using Chi-square test, find whether there is any association between income level and type of schooling: Income vs Public school / Govt. School: Low: 200, 400; High: 1000, 400. (7 marks, 2025, Statistical Tests of Significance) – also asked in 2021, 2022, 2023, 2024, 2026
Calculate all four moments about mean and also skewness and kurtosis. Marks: 0-10 10-20 20-30 30-40 40-50 50-60 60-70, Students: 1 6 10 15 11 7 10. (7 marks, 2025, Measures of Central Tendency) – also asked in 2021, 2022, 2023, 2024, 2026
Determine the skewness and kurtosis for the following data: Marks: 10-20 20-30 30-40 40-50 50-60, No. of students: 18 20 30 22 10. (7 marks, 2024, Measures of Central Tendency) – also asked in 2021, 2022, 2023, 2025, 2026

Heat and Wave Equations (Unit 2: Applications of PDE and Fourier Transform) – asked 37 times in 2021, 2022, 2023, 2024, 2025, 2026
Statistical Tests of Significance (Unit 5: Statistical Techniques III) – asked 22 times in 2021, 2022, 2023, 2024, 2025, 2026
Probability and Random Variables (Unit 4: Statistical Techniques II) – asked 20 times in 2021, 2022, 2023, 2024, 2025, 2026