Choose a maths topic, work through an explained solution and practise independently with optional device-only progress.
Useful to know
What can Smart Maths solve?
Exact arithmetic, fractions, polynomial expansion and simplification, linear equations, real quadratics, rational equations reducing to degree two, two linear equations in x and y, linear inequalities and percentages. Unsupported problems show a limitation message.
Can I practise without revealing the answer?
Learn reveals one step at a time. Practise checks supported equivalent intermediate steps. Challenge generates questions and marks equivalent rational answers. Radical answer entry is not supported yet.
Is this mapped to Kenyan grades or KICD-approved?
No. Difficulty labels describe this release, not official grades. Detailed curriculum mapping remains pending. Lessons can support independent learning but do not claim complete curriculum coverage.
Where are my files and inputs processed?
Maths questions and working are processed on this device and are not uploaded. Challenge score, completed count and difficulty can be saved only when you enable device saving. Saving starts off on each visit; turning it off or choosing Erase saved progress removes that record. Questions and answers are never saved. Reset clears current working, not optional saved progress.
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Maths learning notes
Keep an equation balanced
Beginner · Prerequisite: Signed numbers and multiplication
An equation says two expressions have the same value. Add, subtract, multiply or divide both sides by the same allowed value to preserve that equality.
Example: 2(x + 3) = 14
Common mistake: Distribute 2 to both x and 3. Do not change only one side of the equation.
Independent practice: 3(x + 2) = 18
What should I check before moving on?
Distribute 2 to both x and 3. Do not change only one side of the equation. Use the worked example, then attempt the independent practice without looking at the solution.
Find the roots of a quadratic
Intermediate · Prerequisite: Linear equations, squares and square roots
Move all terms to one side to form ax² + bx + c = 0. The discriminant b² − 4ac tells you how many real roots to expect. Factorisation and the quadratic formula are two ways to find those roots.
Example: x² – 5x + 6 = 0
Common mistake: Include both signs in the quadratic formula. A negative discriminant has no real roots.
Independent practice: x² – 7x + 12 = 0
What should I check before moving on?
Include both signs in the quadratic formula. A negative discriminant has no real roots. Use the worked example, then attempt the independent practice without looking at the solution.
Work with exact fractions
Beginner · Prerequisite: Multiplication, division and common multiples
A denominator names the size of the parts. To add or subtract, rename the fractions using a common denominator. To multiply, multiply numerators and denominators. To divide, multiply by the reciprocal of a non-zero value.
Example: 3/4 + 2/3
Common mistake: 3/4 + 2/3 is not 5/7. The parts must first have the same size.
Independent practice: 1/2 + 3/8
What should I check before moving on?
3/4 + 2/3 is not 5/7. The parts must first have the same size. Use the worked example, then attempt the independent practice without looking at the solution.
Satisfy two equations together
Intermediate · Prerequisite: Linear equations and signed arithmetic
A solution is a pair of values that satisfies both equations. Multiply the equations so one variable has matching coefficients, then subtract to eliminate it. Substitute your pair into both original equations.
Example: 2x + 3y = 12; x – y = 1
Common mistake: Changing a coefficient requires multiplying every term on both sides.
Independent practice: x + y = 9; x – y = 3
What should I check before moving on?
Changing a coefficient requires multiplying every term on both sides. Use the worked example, then attempt the independent practice without looking at the solution.
Track the direction of an inequality
Intermediate · Prerequisite: Linear equations and the number line
Balance an inequality as you would an equation. When you multiply or divide by a negative number, reverse the inequality sign. A strict < or > excludes the boundary; ≤ and ≥ include it.
Example: 2 – 3x > 11
Common mistake: After division by −3, > becomes <.
Independent practice: 4 – 2x >= 10
What should I check before moving on?
After division by −3, > becomes <. Use the worked example, then attempt the independent practice without looking at the solution.
Combine only like terms
Beginner · Prerequisite: Distributive property and powers
Expressions do not assert an equality. Expand brackets, multiply coefficients and combine terms with matching variables and powers. Factorisation reverses expansion by expressing a sum as a product.
Example: 2(x + 3) – x
Common mistake: x and x² are different kinds of terms and cannot be added into one coefficient.
Independent practice: 3(x + 2) – 2x
What should I check before moving on?
x and x² are different kinds of terms and cannot be added into one coefficient. Use the worked example, then attempt the independent practice without looking at the solution.
Translate percent into a fraction
Beginner · Prerequisite: Fractions and division
Percent means per hundred. To find p% of a whole, multiply the whole by p/100. For percentage change, divide the difference by the original value, then multiply by 100.
Example: 20/100 * 250
Common mistake: Percentage change uses the original value as the denominator. A zero original value has no defined percentage change.
Independent practice: 15/100 * 200
What should I check before moving on?
Percentage change uses the original value as the denominator. A zero original value has no defined percentage change. Use the worked example, then attempt the independent practice without looking at the solution.
Difficulty labels are not official grade mappings. Detailed KICD alignment is pending; OnlineTools Kenya is not KICD-approved.