x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?
Mathematics Past Questions
Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.
Take a test
Custom CBT
Create and set up a CBT environment with your preferred subjects.
JAMB CBT Simulator
Practice JAMB CBT with real UTME past questions in CBT format.
WAEC CBT Practice 2026 Simulator
CB-WASSCE styled past question practice.
NECO CBT Practice 2026 Simulator
SSCE & GCE styled past question practice.
Past Questions
2,359 questionsU = {Even numbers between 0 and 30}
P = {Multiples of 6 between 0 and 30}
Q = {Multiples of 4 between 0 and 30}
Find (P∪Q)c
The sum of four numbers is 1214\(_5\). What is the average expressed in base five?
If \(\frac{9^{2x-1}}{27^{x+1}} = 1\), find the value of x.
A cinema hall contains a certain number of people. If 22\(\frac{1}{2}\)% are children, 47\(\frac{1}{2}\)% are men and 84 are women, find the number of men in the hall.
Simplify \(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)
Simplify 1 - (7/3 x 5/4) + 3/5
A woman buys 270 oranges for N1800.00 and sells at 5 for N40.00. What is her profit?
Find (\(\frac{1}{0.06} \div \frac{1}{0.042}\))\(^{-1}\)
In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
Simplify 213\(_4\) x 23\(_4\)
Evaluate \(Log_{\sqrt{2}}4 + Log_{\frac{1}{2}}16 - Log_{4}32\)
Use the graph above to find the values of p and q if px + qy \(\geq\) 4
| No. of days | 1 | 2 | 3 | 4 | 5 | 6 |
| No. of students | 20 | x | 50 | 40 | 2x | 60 |
The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term
In the diagram above , XZ is the diameter of the circle XZW, with center O and radius 15/2 cm. If XY = 12 cm, find the area of the triangle XYZ