Master your mental math: Calculate your speed, accuracy, and efficiency.
Calculate Your Performance
Total count of arithmetic problems you completed.
Total duration in minutes to solve all problems.
How many of the problems were solved accurately.
Simple (e.g., 2+2)
Moderate (e.g., 15*12)
Complex (e.g., 123*456)
Very Complex (e.g., 3-digit division)
Estimate the average difficulty of the problems.
Your Performance Metrics
–.–
Problems/Minute
–.–
Accuracy Rate
–.–
Efficiency Score
–.–
Formula Used:
Problems/Minute = (Number of Problems Solved) / (Total Time Spent in minutes)
Accuracy Rate = (Number of Correct Answers / Number of Problems Solved) * 100%
Efficiency Score = (Problems/Minute) * (Accuracy Rate / 100) * (Average Complexity Factor)
Performance Data Summary
Problem Solving Breakdown
Metric
Value
Unit
Description
Performance Trend Visualization
var chartInstance = null; // Global variable to hold chart instance
function validateInput(value, id, min, max, errorMessageId, allowDecimal = true) {
var errorElement = document.getElementById(errorMessageId);
if (value === ") {
errorElement.textContent = 'This field cannot be empty.';
return false;
}
var numValue = parseFloat(value);
if (isNaN(numValue)) {
errorElement.textContent = 'Please enter a valid number.';
return false;
}
if (!allowDecimal && !Number.isInteger(numValue)) {
errorElement.textContent = 'Please enter a whole number.';
return false;
}
if (min !== null && numValue max) {
errorElement.textContent = 'Value cannot be greater than ' + max + '.';
return false;
}
errorElement.textContent = ";
return true;
}
function clearAllErrors() {
document.getElementById('numProblemsError').textContent = ";
document.getElementById('totalTimeError').textContent = ";
document.getElementById('correctAnswersError').textContent = ";
}
function calculatePerformance() {
clearAllErrors();
var numProblems = document.getElementById('numProblems').value;
var totalTime = document.getElementById('totalTime').value;
var correctAnswers = document.getElementById('correctAnswers').value;
var complexityFactor = parseInt(document.getElementById('complexityFactor').value);
var isValid = true;
isValid = validateInput(numProblems, 'numProblems', 1, null, 'numProblemsError', false) && isValid;
isValid = validateInput(totalTime, 'totalTime', 0.1, null, 'totalTimeError') && isValid;
isValid = validateInput(correctAnswers, 'correctAnswers', 0, parseInt(numProblems), 'correctAnswersError', false) && isValid;
if (!isValid) {
return;
}
var n = parseFloat(numProblems);
var t = parseFloat(totalTime);
var c = parseFloat(correctAnswers);
var x = complexityFactor;
var problemsPerMinute = n / t;
var accuracyRate = (c / n) * 100;
// Adjusted Efficiency Score for better score representation
var efficiencyScore = (problemsPerMinute * (accuracyRate / 100) * x) * 10; // Multiply by 10 for a more typical score range
document.getElementById('mainResult').textContent = efficiencyScore.toFixed(2);
document.getElementById('problemsPerMinute').textContent = problemsPerMinute.toFixed(2);
document.getElementById('accuracyRate').textContent = accuracyRate.toFixed(2) + '%';
document.getElementById('efficiencyScore').textContent = efficiencyScore.toFixed(2);
document.getElementById('resultsSection').style.display = 'block';
// Update Table
updatePerformanceTable(n, t, c, x, problemsPerMinute, accuracyRate, efficiencyScore);
// Update Chart
updatePerformanceChart(problemsPerMinute, accuracyRate, efficiencyScore);
}
function resetCalculator() {
document.getElementById('numProblems').value = 100;
document.getElementById('totalTime').value = 20;
document.getElementById('correctAnswers').value = 95;
document.getElementById('complexityFactor').value = 2; // Moderate
clearAllErrors();
document.getElementById('resultsSection').style.display = 'none';
if (chartInstance) {
chartInstance.destroy(); // Destroy previous chart instance if exists
chartInstance = null;
}
// Clear table body
var tableBody = document.querySelector("#performanceTable tbody");
tableBody.innerHTML = ";
}
function copyResults() {
var mainResult = document.getElementById('mainResult').textContent;
var ppm = document.getElementById('problemsPerMinute').textContent;
var ar = document.getElementById('accuracyRate').textContent;
var es = document.getElementById('efficiencyScore').textContent;
var numProblems = document.getElementById('numProblems').value;
var totalTime = document.getElementById('totalTime').value;
var correctAnswers = document.getElementById('correctAnswers').value;
var complexity = document.getElementById('complexityFactor').options[document.getElementById('complexityFactor').selectedIndex].text;
var assumptions = "Key Assumptions:\n";
assumptions += "- Problems Solved: " + numProblems + "\n";
assumptions += "- Total Time: " + totalTime + " minutes\n";
assumptions += "- Correct Answers: " + correctAnswers + "\n";
assumptions += "- Complexity: " + complexity + "\n\n";
var resultsText = "— Human Calculator Performance —\n";
resultsText += "Efficiency Score: " + mainResult + "\n";
resultsText += "Problems Per Minute: " + ppm + "\n";
resultsText += "Accuracy Rate: " + ar + "\n";
resultsText += "———————————-\n\n";
resultsText += assumptions;
// Use a temporary textarea to copy text
var textArea = document.createElement("textarea");
textArea.value = resultsText;
textArea.style.position = "fixed";
textArea.style.left = "-9999px";
document.body.appendChild(textArea);
textArea.focus();
textArea.select();
try {
var successful = document.execCommand('copy');
var msg = successful ? 'Results copied!' : 'Copy failed';
alert(msg);
} catch (err) {
alert('Oops, unable to copy');
}
document.body.removeChild(textArea);
}
function updatePerformanceTable(n, t, c, x, ppm, ar, es) {
var tableBody = document.querySelector("#performanceTable tbody");
tableBody.innerHTML = "; // Clear existing rows
var complexityMap = {1: "Simple", 2: "Moderate", 3: "Complex", 4: "Very Complex"};
var complexityText = complexityMap[x] || "Unknown";
var row1 = tableBody.insertRow();
row1.insertCell().textContent = "Problems Solved";
row1.insertCell().textContent = n.toFixed(0);
row1.insertCell().textContent = "Count";
row1.insertCell().textContent = "Total number of calculations attempted.";
var row2 = tableBody.insertRow();
row2.insertCell().textContent = "Total Time";
row2.insertCell().textContent = t.toFixed(2);
row2.insertCell().textContent = "Minutes";
row2.insertCell().textContent = "Duration spent on all problems.";
var row3 = tableBody.insertRow();
row3.insertCell().textContent = "Correct Answers";
row3.insertCell().textContent = c.toFixed(0);
row3.insertCell().textContent = "Count";
row3.insertCell().textContent = "Number of problems solved accurately.";
var row4 = tableBody.insertRow();
row4.insertCell().textContent = "Avg. Complexity";
row4.insertCell().textContent = complexityText;
row4.insertCell().textContent = "Factor";
row4.insertCell().textContent = "Estimated difficulty level of problems.";
var row5 = tableBody.insertRow();
row5.insertCell().textContent = "Problems/Minute";
row5.insertCell().textContent = ppm.toFixed(2);
row5.insertCell().textContent = "PPM";
row5.insertCell().textContent = "Calculation speed.";
var row6 = tableBody.insertRow();
row6.insertCell().textContent = "Accuracy Rate";
row6.insertCell().textContent = ar.toFixed(2) + "%";
row6.insertCell().textContent = "%";
row6.insertCell().textContent = "Percentage of correct solutions.";
var row7 = tableBody.insertRow();
row7.insertCell().textContent = "Efficiency Score";
row7.insertCell().textContent = es.toFixed(2);
row7.insertCell().textContent = "Score";
row7.insertCell().textContent = "Overall performance metric (Speed * Accuracy * Complexity).";
}
function updatePerformanceChart(ppm, ar, es) {
var ctx = document.getElementById('performanceChart').getContext('2d');
// Destroy previous chart instance if it exists
if (chartInstance) {
chartInstance.destroy();
}
// Define chart data
var labels = ['Speed', 'Accuracy', 'Efficiency'];
var dataSeries1 = [ppm, ar, es]; // Using ES directly as it already incorporates complexity
// For a second series, let's use normalized values or a related metric.
// We can use complexity-weighted speed/accuracy for comparison.
var dataSeries2 = [ppm * 1, ar * 1, es * 1]; // Example: basic values for comparison, ideally a related metric.
// Let's refine series 2 to be complexity-adjusted speed and accuracy parts.
var complexityFactor = parseFloat(document.getElementById('complexityFactor').value);
var dataSeries2Refined = [ppm * complexityFactor, ar * 1, es]; // Speed * Complexity, Accuracy, Efficiency
chartInstance = new Chart(ctx, {
type: 'bar', // Use bar chart for comparison
data: {
labels: labels,
datasets: [{
label: 'Raw Metrics (PPM, Accuracy)',
data: [ppm.toFixed(2), ar.toFixed(2), null], // Use null to skip a bar for efficiency
backgroundColor: 'rgba(0, 74, 153, 0.7)',
borderColor: 'rgba(0, 74, 153, 1)',
borderWidth: 1
}, {
label: 'Efficiency & Complexity Weighted',
data: [null, null, es.toFixed(2)], // Only efficiency is shown here directly
backgroundColor: 'rgba(40, 167, 69, 0.7)',
borderColor: 'rgba(40, 167, 69, 1)',
borderWidth: 1
}]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
y: {
beginAtZero: true,
title: {
display: true,
text: 'Value / Percentage / Score'
}
},
x: {
title: {
display: true,
text: 'Performance Metric'
}
}
},
plugins: {
tooltip: {
callbacks: {
label: function(context) {
var label = context.dataset.label || ";
if (label) {
label += ': ';
}
if (context.parsed.y !== null) {
// Format specific values
if (context.label === 'Accuracy') {
label += context.parsed.y.toFixed(2) + '%';
} else if (context.label === 'Efficiency') {
label += context.parsed.y.toFixed(2);
} else {
label += context.parsed.y.toFixed(2);
}
}
return label;
}
}
},
legend: {
position: 'top',
},
title: {
display: true,
text: 'Human Calculator Performance Breakdown'
}
}
}
});
}
// Initial calculation on page load if default values are present
document.addEventListener('DOMContentLoaded', function() {
calculatePerformance();
});