Previous Year Questions

Practice Questions

Browse and practice real questions from previous scholarship exams. Use filters to narrow down by year, subject, or exam.

Displaying 231 - 235 of 1956
Easy
. SOF International Mathematics Olympiad (IMO) · Set B · 2025 . Sample
Q. 75
Determine the nature of the roots of 2x² + (-5)x + (5) = 0 using the discriminant.
Medium
. SOF International Mathematics Olympiad (IMO) · Set D · 2025 . Sample
Q. 76
If the sum of the roots of a quadratic equation is 0 and the product of the roots is -9, what is the equation (in the form x² - (sum)x + (product) = 0)?
Medium
. SOF International Mathematics Olympiad (IMO) · Set A · 2025 . Sample
Q. 77
Find the roots of the quadratic equation x² + (-8)x + (15) = 0.
Hard
. SOF International Mathematics Olympiad (IMO) · Set D · 2025 . Sample
Q. 78
Determine the nature of the roots of 2x² + (-1)x + (6) = 0 using the discriminant.
Easy
. SOF International Mathematics Olympiad (IMO) · Set C · 2025 . Sample
Q. 79
If the sum of the roots of a quadratic equation is -1 and the product of the roots is -6, what is the equation (in the form x² - (sum)x + (product) = 0)?