Quick answer
A child starts kindergarten in the year they turn 5 on or before the school cutoff, and graduates 13 school years later. Born 15 March 2018 with a 1 September cutoff, a child starts in 2023 and graduates in 2036.
Enter the date of birth and the school entry cutoff month and day. The calculator returns the kindergarten start year and the graduation year. The year is worked out by birthday and the school entry cutoff.
Related tools: Graduation Year Calculator: Expected graduation year from the start year and program length. Birthday Calculator: Next birthday, days until it, and your current age. Half Birthday Calculator: The date six months after a birthday.
How to use the Graduation Year by Birthday Calculator
- Pick date of birth.
- Enter school entry cutoff month (a whole number, between 1 and 12). It starts at 9.
- Enter school entry cutoff day (a whole number, between 1 and 31). It starts at 1.
- Press Calculate to see the result, and use Reset to start again.
| Input | What to enter | Allowed values |
|---|---|---|
| Date of birth | A calendar date | — |
| School entry cutoff month | A whole number | ≥ 1, ≤ 12, starts at 9 |
| School entry cutoff day | A whole number | ≥ 1, ≤ 31, starts at 1 |
Formula and method
Formula
kindergarten starts in the year the child turns 5 on or before the cutoff; graduation = start year + 13
IEEE-754 double precision; shown to at most 6 decimal places.
Assumes kindergarten at age 5 and 13 years of school (K–12); rules differ by district and country.
Worked examples
These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.
Example 1
Inputs: Date of birth = 2018-03-15; School entry cutoff month = 9; School entry cutoff day = 1.
| Result | Value |
|---|---|
| Graduation year | 2036 |
| Starts kindergarten | 2023 |
Example 2
Inputs: Date of birth = 2018-10-02; School entry cutoff month = 9; School entry cutoff day = 1.
| Result | Value |
|---|---|
| Graduation year | 2037 |
| Starts kindergarten | 2024 |
Example 3
Inputs: Date of birth = 2015-09-01; School entry cutoff month = 9; School entry cutoff day = 1.
| Result | Value |
|---|---|
| Graduation year | 2033 |
| Starts kindergarten | 2020 |
The first line is the headline result (graduation year). Below it the graduation Year by Birthday Calculator lists starts kindergarten, which describe the same case from other angles. IEEE-754 double precision; shown to at most 6 decimal places.
The 13-year count
Kindergarten plus grades 1 to 12 is 13 school years. Starting in autumn 2023, the child graduates in spring 2036. A child born after the cutoff starts a year later.
Local rules
The cutoff, the starting age and early-entry exceptions vary by state and district, and private schools set their own. Check with your district.
How the result changes with school entry cutoff day
Holding every other input at the first worked example, this table changes only school entry cutoff day. It shows how sensitive the answer is to that one value; each row was produced by running this calculator.
| School entry cutoff day | Graduation year | Starts kindergarten |
|---|---|---|
| 1 | 2036 | 2023 |
| 2 | 2036 | 2023 |
| 4 | 2036 | 2023 |
What happens with invalid input
These messages are produced by the calculator itself, so you know what to fix.
- Date of birth: left empty shows "Enter date of birth." beside that field and no result.
- School entry cutoff month: entering "13" shows "School entry cutoff month must be at most 12." beside that field and no result.
Choosing between the Graduation Year by Birthday Calculator and similar calculators
Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.
| Calculator | You enter | It returns |
|---|---|---|
| [Graduation Year Calculator](/date-calendar/graduation-year/) | start year and program length | Graduation year |
| [Birthday Calculator](/lifestyle/birthday/) | date of birth and reference date | Next birthday |
| [Half Birthday Calculator](/lifestyle/half-birthday/) | date of birth | Half birthday |
| [Birth Year Calculator](/date-calendar/birth-year/) | age | Birth year |
| [Day of the Year Calculator](/date-calendar/day-of-the-year-calculator/) | date | Day of the week |
Assumptions and limitations
- Check the local cutoff date
If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for date of birth and school entry cutoff month to confirm this.
Frequently asked questions
What if the birthday is right on the cutoff?
Children turning 5 on the cutoff day are normally eligible.
Does it handle UK school years?
No, the UK uses 31 August with Reception.
Is the graduation year spring?
Yes. The year given is the year the final school year ends, normally in spring or early summer.
What does the Graduation Year by Birthday Calculator calculate?
High school graduation year from a birth date and your school's entry rules. It returns Graduation year and Starts kindergarten.
What formula does the Graduation Year by Birthday Calculator use?
kindergarten starts in the year the child turns 5 on or before the cutoff; graduation = start year + 13. Assumes kindergarten at age 5 and 13 years of school (K–12); rules differ by district and country.
What do I need to enter in the graduation Year by Birthday Calculator?
You enter Date of birth, School entry cutoff month and School entry cutoff day.
How is the result rounded or limited?
IEEE-754 double precision; shown to at most 6 decimal places. Check the local cutoff date.
What is an example of a graduation Year by Birthday result?
With date of birth 2018-03-15, school entry cutoff month 9 and school entry cutoff day 1, the graduation year is 2036.
Where does the method come from?
The method follows: Typical US K–12 progression; verify your district's cutoff.
Related calculators
- Graduation Year Calculator — Expected graduation year from the start year and program length.
- Birthday Calculator — Next birthday, days until it, and your current age.
- Half Birthday Calculator — The date six months after a birthday.
- Birth Year Calculator — Year of birth from a person's age.
- Day of the Year Calculator — Which day of the year a date falls on.
- Leap Year Calculator — Check whether a year is a leap year.
Sources
- Typical US K–12 progression; verify your district's cutoff
Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.