Mathvelo blog
Free math guides with worked examples: how to check an answer, standard deviation, percentages, how to study maths, the quadratic formula and derivative rules. Each guide links to the calculator that does the steps for you.
Showing all 6 guides
Study skills
Getting an answer is half the job; knowing it is right is the other half. This guide shows seven checks that catch real mistakes, from substitution to a numerical derivative test, and reports how often each cheap check catches four common slips in 80,000 simulated errors.
Study skills
Many students study maths by rereading notes and redoing familiar problems, which feels productive but ranks near the bottom of the evidence. This guide explains four…
Everyday maths
“Unemployment rose by 1%.” Did it go from 4% to 4.04%, or from 4% to 5%? The sentence cannot tell you. This guide defines percentage points and percentage change,…
Calculus
Most derivative mistakes are not arithmetic. They come from choosing the wrong rule, or stopping after one rule when the problem needed two. This guide gives a…
Algebra
The quadratic formula is usually memorised and rarely understood. This guide derives it in five steps, explains the discriminant as a preview of the answer, and tests…
Statistics
Two formulas, one tiny difference: divide by N, or divide by n − 1. This guide explains which to use and why, and measures the effect with 500,000 simulated samples,…
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Every article ties to a calculator that shows the steps, so you can check your own working.