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 221 - 225 of 1956
Medium
. SOF International Mathematics Olympiad (IMO) · Set B · 2025 . Sample
Q. 65
If the sum of the roots of a quadratic equation is 9 and the product of the roots is 20, what is the equation (in the form x² - (sum)x + (product) = 0)?
Medium
. SOF International Mathematics Olympiad (IMO) · Set B · 2025 . Sample
Q. 66
Find the roots of the quadratic equation x² + (10)x + (24) = 0.
Hard
. SOF International Mathematics Olympiad (IMO) · Set A · 2025 . Sample
Q. 67
Determine the nature of the roots of 2x² + (2)x + (4) = 0 using the discriminant.
Easy
. SOF International Mathematics Olympiad (IMO) · Set A · 2026 . Sample
Q. 68
If the sum of the roots of a quadratic equation is -2 and the product of the roots is -15, what is the equation (in the form x² - (sum)x + (product) = 0)?
Medium
. SOF International Mathematics Olympiad (IMO) · Set A · 2026 . Sample
Q. 69
Find the roots of the quadratic equation x² + (0)x + (-36) = 0.