Estimate your 1-5 composite score based on raw performance
Section I: Multiple Choice
There are 40 total questions.
Section II: Free Response
Understanding the AP Precalculus Score Calculation
The AP Precalculus exam is designed to measure your mastery of functions, trigonometry, and modeling. To estimate your final score, this calculator uses the standard weighting breakdown provided by the College Board for the inaugural course framework.
Exam Breakdown
Multiple Choice Section (MCQ): 40 questions total. This makes up 62.5% of your final composite score. Section A (28 questions) is non-calculator, and Section B (12 questions) allows a graphing calculator.
Free Response Section (FRQ): 4 questions, each worth 6 points (24 points total). This makes up 37.5% of your composite score.
How Scores are Calculated
The "Composite Score" is the sum of your weighted raw points. In our calculator, we convert your raw inputs into a percentage and map them to historical AP curve data for mathematics exams. While the exact curve changes every year, the following general thresholds are used:
AP Score
Estimated Percentage
Academic Rating
5
72% – 100%
Extremely Well Qualified
4
58% – 71%
Well Qualified
3
43% – 57%
Qualified
2
32% – 42%
Possibly Qualified
1
0% – 31%
No Recommendation
Preparation Tips
To maximize your score, focus heavily on Section I (MCQ) as it carries the majority of the weight. Ensure you are comfortable with non-calculator arithmetic for the first 28 questions. For the FRQs, even if you cannot solve the entire problem, writing down the correct formula or setup can earn you partial credit (1-2 points per question).
function calculateAPScore() {
var mcqRaw = parseFloat(document.getElementById('mcqCount').value);
var frq1 = parseFloat(document.getElementById('frq1').value);
var frq2 = parseFloat(document.getElementById('frq2').value);
var frq3 = parseFloat(document.getElementById('frq3').value);
var frq4 = parseFloat(document.getElementById('frq4').value);
// Validation
if (isNaN(mcqRaw) || mcqRaw 40) { alert('Please enter a valid MCQ score (0-40)'); return; }
if (isNaN(frq1) || frq1 6) { alert('FRQ 1 must be 0-6'); return; }
if (isNaN(frq2) || frq2 6) { alert('FRQ 2 must be 0-6'); return; }
if (isNaN(frq3) || frq3 6) { alert('FRQ 3 must be 0-6'); return; }
if (isNaN(frq4) || frq4 6) { alert('FRQ 4 must be 0-6'); return; }
// Logic:
// MCQ is 40 questions (each 1 point raw)
// FRQ is 4 questions (each 6 points raw = 24 total)
// Standard weighting: MCQ = 62.5%, FRQ = 37.5%
var frqTotal = frq1 + frq2 + frq3 + frq4;
// Convert to weighted points (out of 100)
// MCQ Weight: (mcqRaw / 40) * 62.5
// FRQ Weight: (frqTotal / 24) * 37.5
var weightedMCQ = (mcqRaw / 40) * 62.5;
var weightedFRQ = (frqTotal / 24) * 37.5;
var composite = weightedMCQ + weightedFRQ;
var score = 1;
var color = "#e74c3c";
var msg = "";
if (composite >= 72) {
score = 5;
color = "#27ae60";
msg = "Excellent performance! You are on track for a top score.";
} else if (composite >= 58) {
score = 4;
color = "#2ecc71";
msg = "Great job! You demonstrate high proficiency in Precalculus concepts.";
} else if (composite >= 43) {
score = 3;
color = "#f1c40f";
msg = "Good work. You meet the qualifications for college credit at many institutions.";
} else if (composite >= 32) {
score = 2;
color = "#e67e22";
msg = "You are close. Focus more on the Free Response justifications to boost your score.";
} else {
score = 1;
color = "#e74c3c";
msg = "More practice is needed. Review the key function behaviors and trigonometric identities.";
}
var resultArea = document.getElementById('resultsArea');
var scoreDisplay = document.getElementById('scoreDisplay');
var percentDisplay = document.getElementById('percentageDisplay');
var msgDisplay = document.getElementById('scoreMessage');
resultArea.style.display = "block";
resultArea.style.backgroundColor = color + "15"; // Light background of the color
resultArea.style.border = "2px solid " + color;
scoreDisplay.innerText = score;
scoreDisplay.style.color = color;
percentDisplay.innerHTML = "Composite Score: " + composite.toFixed(1) + "%";
msgDisplay.innerText = msg;
resultArea.scrollIntoView({ behavior: 'smooth', block: 'nearest' });
}