Sub-topic 1
2024 · National Preliminary
Free
Solving $2x-5\lt3x+8\lt2x+5$, a compound linear inequality
Read past contest →
Sub-topic 2
2022 · National Preliminary
Premium
Solving $12-2x\lt x+15\lt24-2x$, a compound linear inequality
Read past contest →
Sub-topic 3
2026 · National Preliminary
Premium
Simultaneous equations by elimination: $3x-2y=11$ and $5x-3y=18$
Read past contest →
Sub-topic 4
2025 · National Preliminary
Premium
Age problem: father four times his daughter's age, thrice as old ten years later
Read past contest →
Sub-topic 5
2026 · National Quarterfinal
Premium
Natural numbers $m$ and $n$ with $m-n=12$ and $\sqrt{m}-\sqrt{n}=2$
Read past contest →
Sub-topic 6
2026 · National Quarterfinal
Premium
Inequality defining the region above the line $2x-5y=10$
Read past contest →
Sub-topic 7
2026 · National One-Eighth
Premium
Simultaneous equations $4x^2-y^2=63$ and $2x-y=7$ by difference of squares
Read past contest →
Sub-topic 8
2026 · National Preliminary
Premium
Simultaneous equations $x^2-y^2=24$ and $x-y=4$ by difference of squares
Read past contest →
Sub-topic 9
2026 · National One-Eighth
Premium
Two numbers with mean $30$ where one number plus $6$ is twice the other
Read past contest →
Sub-topic 10
2021 · National Preliminary
Premium
Elimination method for $2x-3y=1$ and $3x+2y=8$
Read past contest →
Sub-topic 11
2021 · National One-Eighth
Premium
Inconsistent system $3y+4=5x$ and $10x-12=6y$ with no solution
Read past contest →
Sub-topic 12
2021 · National Preliminary
Premium
Constants $a$ and $b$ in $a(x-2)+b(x+1)=3x-3$
Read past contest →
Sub-topic 13
2025 · National Preliminary
Premium
Age problem: mr. mensah four times ama's age, thrice as old in $10$ years
Read past contest →
Sub-topic 14
2013 · National Preliminary
Premium
Ratio $x:y$ when $x+3y=2x$
Read past contest →
Sub-topic 15
2013 · National Preliminary
Premium
Ratio $y:x$ when $\dfrac{3x-2y}{2}=y$
Read past contest →
Sub-topic 16
2013 · National Preliminary
Premium
Annual income when $90\%$ of salary is spent and $50$ cedis saved monthly
Read past contest →
Sub-topic 17
2013 · National Preliminary
Premium
Solving the linear inequality $4+5x\gt20-11x$
Read past contest →
Sub-topic 18
2013 · National Preliminary
Premium
Solving the linear inequality $17-5x\lt9x+45$
Read past contest →
Sub-topic 19
2013 · National Preliminary
Premium
Solving $9x-17+6x-8\gt20$ after combining like terms
Read past contest →
Sub-topic 20
2014 · National Final
Premium
Linear constraints for radio adverts ($250$ ghc) and tv adverts ($750$ ghc), budget $10{,}000$ ghc
Read past contest →
Sub-topic 21
2014 · National Final
Premium
Linear constraints for exercise books ($2$ ghc) and notebooks ($5$ ghc), total $27$ ghc
Read past contest →
Sub-topic 22
2014 · National Final
Premium
Linear constraints for vitamin c pills totalling at least $2{,}500$ mg
Read past contest →
Sub-topic 23
2016 · National One-Eighth
Premium
Ratio $x:y$ from $\dfrac{x-y}{2}=\dfrac{x+y}{3}$
Read past contest →
Sub-topic 24
2016 · National One-Eighth
Premium
Ratio $x:y$ from $\dfrac{x+3y}{5}=\dfrac{x+y}{2}$
Read past contest →
Sub-topic 25
2016 · National One-Eighth
Premium
Ratio $x:y$ from $\dfrac{2x-y}{3}=\dfrac{x+2y}{5}$
Read past contest →
Sub-topic 26
2016 · National Preliminary
Premium
Integers with $3x-3\gt15$ and $1\lt x\lt10$
Read past contest →
Sub-topic 27
2016 · National Preliminary
Premium
Integers with $3x-3\gt15$ and $1\leq x\leq10$
Read past contest →
Sub-topic 28
2016 · National Preliminary
Premium
Solution set of $3x-3\gt15$ for integers $x\lt6$ (null set)
Read past contest →
Sub-topic 29
2017 · National Semifinal
Premium
Proportion $\dfrac{5}{x+4}=\dfrac{3}{x-2}$
Read past contest →
Sub-topic 30
2017 · National Semifinal
Premium
Proportion $\dfrac{3}{4x+3}=\dfrac{4}{2x+5}$
Read past contest →
Sub-topic 31
2017 · National Semifinal
Premium
Proportion $\dfrac{6}{x-5}=\dfrac{6}{5-x}$ with no solution
Read past contest →
Sub-topic 32
2020 · National One-Eighth
Premium
System $-x+2y+4z=5$, $2x-3y-3z=-1$, $3x-4y-5z=-3$ by elimination
Read past contest →