Vedic Maths vs Abacus: Differences & Where Both Stop
Read ArticleVedic Maths Multiplication Tricks: What They Can't Do
Vedic maths multiplication tricks — ×11, Nikhilam for numbers near a base, Urdhva-Tiryagbhyam for the general case, and near-base squaring — genuinely speed up specific products. This article teaches each with worked examples and then draws the line clearly: these tricks make you fast at multiplying, but they can't teach the number structure that algebra, word problems, and higher math depend on.
Read moreNth Term of a GP — Formula and Worked Examples
The nth term of a GP (geometric progression) is found with $a_n = ar^{n-1}$, where $a$ is the first term and $r$ is the common ratio. This article gives you the formula, a clean derivation, the term-from-the-end version, six worked examples, and the slips that cost marks — so you can find any term without writing out the whole sequence
Read moreMatrix Scalar Multiplication - Rules, Properties, Examples
Matrix scalar multiplication means multiplying every entry of a matrix by a single number called a scalar — if $A = [a_{ij}]$ and $k$ is a scalar, then $kA = [k,a_{ij}]$. This article covers the rule, all its properties (commutative, associative, distributive), how it differs from multiplying two matrices, and six worked examples.
Read moreLinear Inequalities — Definition, Rules, and Examples
A linear inequality compares two linear expressions using $<$, $>$, $\leq$, or $\geq$ instead of an equals sign, so its solution is a range of values, not a single number. This article gives the solving rules, including the one rule that flips the sign, dividing or multiplying by a negative, shows how to graph the solution on a number line, and works through one- and two-variable examples.
Read moreInverse Functions — Definition, Steps, Examples
An inverse function, written $f^{-1}$, undoes the original function — feed an output back in and you recover the original input. This article gives the definition, the four-step method to find an inverse, the verification by composition, the reflection-over-$y=x$ graph, why only bijective functions are invertible, and six worked examples.
Read moreInjective Function — How to Prove It, and Examples
An injective function (also called a one-one function) is one where distinct inputs always produce distinct outputs — no two domain elements share the same image. This article gives the formal definition, the algebraic proof method, the horizontal line test, the injective-vs-surjective contrast, the counting formula, and six worked examples
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