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Guides & tutorials

Practical guides, how-tos and comparisons to get the most out of our free online tools.

August 20, 2025
Guide · Sport

How to Pace a 5K

Divide your goal time by 5 to get the pace to hold, then run even splits. Here's how to find your target pace, train for it, and race it well.

Aisha Karim · 2 min read

August 19, 2025
Explainer · Everyday

Bandwidth and Speed: Mbps vs MB/s Explained

Why your 100 Mbps plan downloads at 12.5 MB/s, the bits-versus-bytes ÷8 rule, and how to turn a connection speed into a real download time.

Daniel Okonkwo · 4 min read

August 18, 2025
How-to · Motoring

How Much Does It Cost to Charge an Electric Car?

Charging cost is energy added times your electricity price. Here's the sum, home vs public charging, cost per 100 miles, and how it compares to gas.

Camille Laurent · 3 min read

August 15, 2025
Explainer · Web

Colour Schemes Are Geometry on a Wheel — and the Wheel Is Wrong

Complementary, triadic, analogous and split-complementary are just rotations: add 180°, 120°, 30° or 150° to a hue. The arithmetic is trivial. The problem is that the HSL hue circle is not perceptually uniform — yellow and blue at the same HSL lightness differ in luminance by 12.85 times — so a generated palette has to be contrast-checked afterwards.

Daniel Okonkwo · 15 min read

August 14, 2025
Explainer · Web

Screen Resolution, Pixel Density, and the Numbers Marketing Uses

A diagonal plus an aspect ratio gives you width and height by Pythagoras, and the answer is not what the marketing implies: a 27-inch 21:9 has 16.2% less area than a 27-inch 16:9. Then pixels per degree, which shows the highest-PPI phone is not the sharpest thing you own.

Daniel Okonkwo · 17 min read

How-to · Everyday

How to Simplify a Ratio

Divide both sides by their greatest common divisor. Here's what a ratio is, how to reduce it, why units must match first, and how to compare ratios.

Lena Hoffmann · 3 min read

August 13, 2025
Guide · Web

SQL Formatting and the IN Clause That Breaks Production

Building an IN list by string concatenation is both the classic injection vector and a performance cliff. Parameterisation fixes the first structurally, because the plan is compiled before any value arrives. The second needs arithmetic: the vendors' documented parameter ceilings, and what a query whose text changes with every list length does to a plan cache.

Daniel Okonkwo · 19 min read

How-to · Everyday

Scientific Notation Explained

Scientific notation writes huge and tiny numbers as a value times a power of ten. Here's how to write it, read the exponent, and convert back.

Lena Hoffmann · 3 min read

August 12, 2025
Explainer · Web

YAML Looks Friendly and Bites

YAML is JSON plus a type-inference layer, and the inference is the dangerous part. The same file run through a YAML 1.2 parser and a YAML 1.1 parser: no is a string in one and false in the other, 01234 is 1234 in one and 668 in the other, and 12:30:00 is a number in one of them.

Daniel Okonkwo · 17 min read

Explainer · Motoring

What Is MPG (and How to Improve It)?

MPG is how far a car goes on a gallon — higher is better. Here's what it means, how it relates to L/100 km, why your real figure is lower, and how to improve it.

Marco Bianchi · 3 min read

August 11, 2025
Explainer · Sport

How Many Steps to Burn Calories?

Walking burns roughly 0.04 calories a step. Here's what 10,000 steps really burns, what changes the number, and whether 10,000 is a magic figure.

Aisha Karim · 2 min read

August 8, 2025
Explainer · Web

JSON Is Simpler Than You Think, and That Is the Problem

JSON has no integer type, no date type, no comments and no schema. Every one of those absences produces a specific bug: a 19-digit ID comes back off by 21, a timestamp becomes a string nobody agreed on, NaN cannot be written down, and duplicate keys are legal. All of it run, in two languages.

Daniel Okonkwo · 19 min read