The Calculator Den Blog

Practical money and everyday-maths articles that answer a real question, then hand you the calculator that does the work. No fluff, no filler.

A person training with dumbbells outdoors, representing tracking body fat percentage and fitnessFitness

How to calculate body fat percentage

You do not need a lab. A tape measure and the US Navy formula give a solid estimate in two minutes. Here is the method, a worked example, and what the number actually means.

A bell curve over a data set, illustrating how standard deviation measures the spread around the meanMath

How to calculate standard deviation

Standard deviation measures how spread out your data is. Here is the five-step method, a full worked example, and the one choice (population vs sample) that trips most people up.

A pregnancy wheel and calendar used to estimate a due date from the last menstrual periodHealth

How is my due date calculated?

Most due dates come from one simple sum: 280 days from the first day of your last period. Here is the exact method, a worked example, and how ultrasound, conception and IVF dating change the answer.

A circuit with voltage, current and resistance labelled, illustrating Ohm's law V equals I times RScience

Ohm's law explained (V = IR)

Ohm's law ties together the three things every circuit has: voltage, current and resistance. Learn the formula, the triangle trick, and how to find any one value when you know the other two.

A jar of coins beside a calendar counting down to Christmas, representing saving a set amount each month for the holidaysFinance

How much should you save for Christmas?

The trick is not a magic number, it is starting early and saving a little each month. Here is how to work out your Christmas total and turn it into a painless monthly amount.

A credit score gauge rising from poor to excellent, representing the ranges used to judge a good credit scoreFinance

What is a good credit score?

A good score depends on where you live and which scale is used. Here are the ranges by country, what actually moves your number, and the myths to ignore.

A hand holding a food package and reading the nutrition facts label to check the serving size and daily valuesHealth

How to read a nutrition label

The numbers on a food label only help if you read them in the right order. Here is how to make sense of serving sizes, calories, the %DV and the ingredient list in under a minute.

A student quizzing themselves with flashcards instead of rereading notes, using active recall and spaced practice, the study techniques that actually workEducation

How to study effectively

Most study advice is generic, and some of it is actively wrong. Here are the techniques cognitive science says really work, the popular ones that waste your time, and a plan to put them together.

Two dates circled on a wall calendar with the days between them counted, illustrating how to find the number of days between two datesEveryday

How to calculate the number of days between two dates

Subtracting one date from another sounds easy until the off-by-one question appears. Here is how to count the days correctly, by hand or by calculator, with the traps that catch people out.

A pile of gold bars, the densest material in the chart, illustrating how density packs a lot of mass into a small volumeScience

How to calculate density

Density is just mass divided by volume, but the units and the rearranging are what trip people up. Here is the formula, worked examples both ways, and a chart of common materials.

A classic clock face and a film-style year shown in Roman numerals, illustrating how the seven letters combine into numbersEveryday

Roman numerals explained

They look cryptic, but Roman numerals run on just seven letters and two simple rules. Here is how to read and write any of them, with a chart and worked examples.

A plate split into protein, carbohydrate and fat portions next to a food scale, showing how daily calories divide into macronutrient gramsFitness

How to calculate your macros

Counting macros sounds complicated, but it is three steps and a little arithmetic. Here is exactly how to turn a calorie target into daily protein, carb and fat grams, with a worked example.

A right-angled triangle drawn over a builder's square and ruler, showing the a squared plus b squared equals c squared relationshipMath

The Pythagorean theorem explained

Three letters, one of the most useful rules in all of math. Here is what a² + b² = c² means, how to use it both ways, and where it quietly shows up in real life.

A student at a desk with notes and a laptop working out the grade needed on a final examEducation

What grade do I need on my final?

There is one simple formula that tells you exactly what to score on your final to land the grade you want. Here it is, with worked examples for passing and for an A.

A calm, bright bedroom with morning light and white bedding, illustrating how much sleep you needHealth

How much sleep do you need?

Eight hours is a rule of thumb, not a rule. Here is what the research actually recommends by age, and how to work out the bedtime that leaves you rested.

A person reviewing savings and investments on a laptop, working out their net worth by ageFinance

What is a good net worth by age?

Averages make everyone feel behind. Here are the honest median benchmarks by age, the simple salary-multiple targets, and the numbers that actually matter.

A modern family house with a for-sale sign, illustrating how much home you can affordFinance

How much house can you afford?

A quick rule gets you close, but your real budget depends on your debts, your down payment and the costs people forget. Here is how to find your number.

A brick family home at dusk, illustrating how much of your income to budget for rentFinance

How much should you spend on rent?

The 30% rule is a decent starting point, but your real number depends on the rest of your budget. Here is how to find it.

A sports car parked beside a modern building, illustrating how much car you can affordFinance

How much car can you really afford?

The price on the windscreen is the smallest part of the story. Here is how to budget for the payment and everything that comes after it.

An older couple walking together on a country path, illustrating saving for retirement by ageFinance

How much should you have saved for retirement by age?

Rough milestones by age, and why the amount matters less than when you start.

A fresh healthy salad bowl, illustrating eating in a calorie deficit to lose weightHealth

How many calories should you eat to lose weight?

Weight loss comes down to a calorie deficit. Here is how to find your number and a safe pace to aim for.

A credit card on a dark surface, illustrating a plan to pay off debt fasterFinance

How to pay off debt faster

A clear plan beats willpower. Here are the two methods that work, and why even small extra payments go a long way.

A fuel station lit up at night, illustrating ways to save money on fuelEveryday

How to save money on fuel

Fuel is one of the easiest running costs to trim. Small habits add up to real money over a year.

A glass jar of coins with a small plant growing from it, illustrating savings growing through compound interestFinance

How compound interest works, and why starting early wins

Compound interest is the quiet engine behind almost every savings and investing story. Understand it once and the maths of money gets a lot clearer.

A notebook, pen and calculator on a desk, illustrating how to work out a percentage by handMath

How to work out any percentage

Nearly every percentage question is one of three sums. Learn the three and you can do most of them in your head.

A set of house keys resting on a wooden table, illustrating the choice between a 15 and 30 year mortgageFinance

15-year vs 30-year mortgage: which should you choose?

The shorter term saves a fortune in interest; the longer one keeps the monthly payment low. Here is how to decide which trade suits you.

A loan agreement and pen on a desk, illustrating the difference between APR and the interest rateFinance

APR vs interest rate: what is the real difference?

Two loans with the same interest rate can cost very different amounts. The APR is the number that tells you which is really cheaper.

A tape measure and running shoes, illustrating the limits of BMI as a health measureHealth

Is BMI actually accurate?

BMI is a fast, useful screen for populations, but a blunt tool for individuals. Here is what it does and does not tell you.

Friends dining at a restaurant table, illustrating how to split a bill and add a tipEveryday

How to split a bill and tip without the awkward maths

The end-of-meal maths does not have to be awkward. Here is the quick way to tip and split a bill fairly.

A glass jar of coins set aside as a rainy-day fund, illustrating how much to keep in an emergency fundFinance

How much should you have in an emergency fund?

The classic answer is three to six months of expenses. Here is how to turn that into your own number, and how to get there.

A notebook and calculator used to split take-home pay into needs, wants and savingsFinance

The 50/30/20 budget rule explained

One of the simplest budgets there is: split your take-home pay three ways and let the percentages do the work.

A plate of protein-rich foods, illustrating how much protein to eat per dayHealth

How much protein do you need per day?

The baseline is smaller than fitness culture suggests, but your goal can push it higher. Here is how to find your number.

A glass of water being poured, illustrating how much water to drink a dayHealth

How much water should you drink a day?

The famous eight glasses is a myth. The honest answer depends on your body, your activity and your climate.

A study desk with a laptop, an open notebook and a pen, used to work out a grade point averageEducation

How to calculate your GPA

Your GPA is simply a credit-weighted average of your grades. Here is the exact method, a full worked example, and how to handle percentages and different grading scales.

Two people jogging across a bridge at a steady pace, training inside their target heart rate zoneFitness

Target heart rate by age

Train too easy and you waste the session; too hard and you cannot keep it up. Your target heart rate zone is the sweet spot, and it is set almost entirely by your age.