How to calculate your GPA (weighted and unweighted)

The 4.0 scale: turning letters into points

GPA stands for grade point average, and the first step is converting each letter grade into a number. Most U.S. schools use the 4.0 scale, where an A is worth the most and an F is worth nothing. These numbers are called grade points.

Many schools also use plus and minus grades, which land between the whole numbers: an A- is usually 3.7, a B+ is 3.3, a B- is 2.7, and so on. If your school does not use pluses and minuses, ignore them and stick to the whole-number values below.

• A = 4.0 grade points
• B = 3.0 grade points
• C = 2.0 grade points
• D = 1.0 grade points
• F = 0.0 grade points

Credit hours: why some classes count more

A GPA is not just the average of your grade points, because not every class is the same size. A four-credit lab science takes up more of your schedule than a one-credit elective, so it should carry more weight in your average. Credit hours are how that weighting is built in.

The trick is to multiply each course's grade points by its credit hours before you average anything. That product is often called quality points. A B (3.0) in a 4-credit class earns 12 quality points, while the same B in a 1-credit class earns only 3. Skipping this step, and averaging the grade points straight across, is the single most common GPA mistake.

The GPA formula

Once you understand quality points, the formula is short. Add up the quality points from every course, then divide by the total number of credit hours you took.

That single division is the whole calculation. Everything else is just filling in the two sums correctly.

• Grade points come from the 4.0 scale (A=4, B=3, C=2, D=1, F=0)
• Credit hours are the number of credits each course is worth
• Multiply grade points by credit hours for each course, then add those products
• Divide by the sum of all credit hours to get the GPA

Worked example: a five-course semester

Take a typical 15-credit semester with five classes: an A in English 101 (3 credits), a B in Calculus I (4 credits), a C in Chemistry (4 credits), an A in U.S. History (3 credits), and a B in a 1-credit fitness elective.

Convert each grade to points, multiply by credit hours to get quality points, and lay it out:

English 101: A = 4.0, times 3 credits = 12.0 quality points. Calculus I: B = 3.0, times 4 = 12.0. Chemistry: C = 2.0, times 4 = 8.0. U.S. History: A = 4.0, times 3 = 12.0. Fitness elective: B = 3.0, times 1 = 3.0.

Add the quality points: 12 + 12 + 8 + 12 + 3 = 47. Add the credit hours: 3 + 4 + 4 + 3 + 1 = 15. Divide: 47 divided by 15 = 3.13. That is your unweighted GPA for the semester. Notice the C in a heavy 4-credit class is what pulls the average down below the two A's.

Weighted GPA: the honors and AP bonus

Unweighted GPA treats every class the same, so an A in a demanding AP course looks identical to an A in study hall. Weighted GPA fixes that by adding a bonus to harder courses before you multiply by credit hours. The common bonuses are +0.5 for honors classes and +1.0 for Advanced Placement (AP) or International Baccalaureate (IB) courses.

Reuse the same semester, but say Calculus I was an AP course and Chemistry was honors. The AP B becomes 3.0 + 1.0 = 4.0, and the honors C becomes 2.0 + 0.5 = 2.5. The three regular courses stay as they were.

Recompute the quality points: English 4.0 x 3 = 12, AP Calculus 4.0 x 4 = 16, honors Chemistry 2.5 x 4 = 10, History 4.0 x 3 = 12, elective 3.0 x 1 = 3. That totals 53 quality points over the same 15 credits, so 53 divided by 15 = 3.53. The exact same grades produce a 3.53 weighted GPA versus a 3.13 unweighted one, purely because two of the classes carried a difficulty bonus.

Weighting scales are not universal. Some schools add the bonus only to the grade points, some cap the boost, and a few use a 5.0 top end for weighted GPA. Always confirm how your own school does it before comparing numbers with anyone else.

Cumulative versus semester GPA

A semester GPA covers one term. A cumulative GPA is your running average across every term, and it is the number colleges and scholarships usually care about. You do not average the two semester GPAs together, because that ignores how many credits each one holds.

Instead, combine the raw totals. Suppose the 3.13 semester above (47 quality points, 15 credits) is followed by a stronger second semester earning a 3.60 over another 15 credits. That second term is 3.60 x 15 = 54 quality points. Add both terms: 47 + 54 = 101 quality points over 15 + 15 = 30 credits. Divide: 101 divided by 30 = 3.37 cumulative GPA.

This is why a rough first term is not permanent, but also why it lingers: every future grade is averaged against all the credits already on your record.

How to raise your GPA

Raising a GPA is slower than it feels, because a cumulative average has inertia. The more credits you have already earned, the more new high grades it takes to move the number.

Say you are sitting at that 3.37 cumulative (101 quality points, 30 credits) and you add a flawless 15-credit semester of straight A's, which is 60 quality points. The new average is 161 divided by 45 = 3.58. A perfect term moved a 3.37 up only about two-tenths, because it is being averaged against 30 credits of past work. The practical takeaways follow from that math.

• Protect your high-credit classes first: an A in a 4-credit course moves your GPA far more than an A in a 1-credit one.
• Act early, while you have fewer credits on record and each new grade carries more weight in the average.
• Retake failed or low courses if your school replaces the old grade, since removing an F or D from the denominator has an outsized effect.
• Do not overload on hard classes in a term you are trying to recover, since a fresh low grade digs the hole deeper.
• Check whether dropping a course before the deadline keeps it off your GPA entirely rather than leaving a low grade on it.

Plus and minus grades in a full worked example

The five-course example used whole letters. Many schools score pluses and minuses, so here is a 16-credit term on a common scale where A = 4.0, A- = 3.7, B+ = 3.3, B = 3.0, B- = 2.7, C+ = 2.3 and C = 2.0. The courses are an A- in a 3-credit literature class, a B+ in a 4-credit statistics course, a B in a 3-credit psychology class, a C+ in a 3-credit economics class, an A in a 2-credit seminar, and a B- in a 1-credit lab.

The quality points are 11.1 (3.7 x 3), 13.2 (3.3 x 4), 9.0, 6.9, 8.0 and 2.7. They add up to 50.9. Divide by 16 credits and the GPA is 3.18. If the same grades were scored by letter alone, ignoring the signs, the total would be 50.0 and the GPA 3.13. The difference of about five hundredths is small, but it can decide a close call at a threshold.

Scales are not universal. Some schools give an A+ the same 4.0 as an A, others award 4.3, and some do not use minus grades at all. A few schools treat A- as 3.67 instead of 3.7, which is a more exact version of a third of a point. Use the table published by your registrar, because the exact figures decide your result.

Working backward: what grades do you need?

The formula can be turned around to find the average a future term must reach. Required term GPA = (target GPA x total credits after the term - current quality points) / new credits. Say you have 45 credits at a 3.20 cumulative, which is 144 quality points, and you want 3.50.

If you take 15 more credits, the total becomes 60 and you need (3.50 x 60 - 144) / 15 = 4.40 on those credits. That is impossible on a 4.0 scale. A perfect 15 credits gets you to (144 + 60) / 60 = 3.40, and no higher. Stretch the plan to 30 more credits, a total of 75, and you need (262.5 - 144) / 30 = 3.95, which is possible only with nearly straight A's. A more modest goal of 3.40 over the same 30 credits needs (255 - 144) / 30 = 3.70.

Running this calculation early is more useful than hoping. It tells you whether a target is realistic, how many credits it will take, and how much a single weaker grade would cost. If the answer is above 4.0, change the goal or the timeline, not the effort alone.

Retaking a course: replacement versus averaging

Schools handle repeated courses in two main ways, and the difference is large. With grade replacement, the new grade substitutes for the old one in the GPA, though the original often still appears on the transcript. With averaging, both attempts count.

Take a student with 60 credits and 186 quality points, a 3.10 GPA, and one of those courses is a 3-credit F that contributed 0 points. Retaking it and earning a B adds 9 quality points. Under replacement, the F leaves the calculation and the B takes its place, so the total is 195 quality points over 60 credits, or 3.25. Under averaging, both attempts remain, giving 195 over 63 credits, or 3.10, which is where the GPA started. In that case the retake restored the credit but did nothing for the average.

Policies also differ on how many retakes are allowed, which grades are eligible, and whether the repeat must be taken at the same school. Check your catalog before deciding that a retake will repair your GPA, and ask whether graduate programs or professional schools will recalculate using every attempt, since many do.

Semester credits, quarter units, and transfer work

Credit hours are not always measured the same way. Schools on a quarter system award quarter units, and a quarter unit is worth two-thirds of a semester credit in the usual conversion. A 5-unit quarter course is roughly 3.33 semester credits, and 45 quarter units equal about 30 semester credits. Inside one school the weights are consistent, so the GPA formula works without conversion, but you need the conversion when combining records from two systems.

Transfer work adds a second wrinkle. At many colleges, credits from another institution count toward graduation but the grades are not included in the receiving school's GPA, so your GPA starts fresh with the first term there. Other schools, especially for specific programs, recalculate using transfer grades. Some graduate programs recompute an overall GPA from every transcript you submit, regardless of what any single school reports.

If you are planning a transfer or a graduate application, ask each office three things: whether transfer grades are counted, which scale applies, and how repeated courses appear. Then calculate the figure yourself from the raw transcripts so there are no surprises.

Thresholds, rounding, and the GPAs that actually count

A single number is only the start, because schools and programs use several different GPAs. Your overall GPA is the one on the transcript, but a major GPA may count only courses in your field, and a program may compute a separate GPA for prerequisites. Scholarships, honor rolls, Latin honors and academic standing may each use their own cutoff and their own list of included courses.

Rounding rules can matter at the margin. A 2.97 does not become a 3.0 unless the policy says so, and many scholarship offices cut off at the exact published figure. Some report to two decimals and others to three. If you are within a few hundredths of a requirement, ask whether the office rounds, truncates, or uses the unrounded value.

Ask what is included before you plan. Typical questions are whether pass/fail courses count, whether the summer term is part of the year, whether a withdrawn course is excluded, and whether the cutoff is measured at the end of the term or later when grades are posted. Get the answer in writing if a scholarship depends on it.

Checking your own arithmetic

A few sanity tests catch most errors. First, the GPA must sit between your lowest and highest grade points. If you got a 3.4 from a list that includes a C and a B, something is wrong. Second, the result should lean toward the grades in the heaviest courses. A 4-credit B+ next to a 1-credit A should land closer to 3.3 than to 4.0.

Third, recompute in a second way. Compute each course's quality points, add them, and divide. Then take the credit-weighted average a different way, by multiplying each grade by its share of total credits and adding. In the 16-credit example, the statistics course is 4/16, or 25 percent, of the total, so it contributes 3.3 x 0.25 = 0.825 on its own. If both methods agree, you can trust the result.

Finally, watch for the standard errors. Averaging semester GPAs, leaving a zero-credit course in the denominator, counting a pass/fail course, or using one scale for part of your record and another for the rest will each give a number that looks fine and is wrong.