How 35 out of 40 works out to 87.5%
Divide the score by the total and multiply by a hundred: 35 ÷ 40 × 100 = 87.5%. Each of the 40 questions is worth 2.5%, so the grade can only land on multiples of 2.5% — there is no way to score 88.8% on a forty-question test.
In lowest terms 35 out of 40 is 7 out of 8 — the same fraction with 5 divided out of both halves. That is worth noticing when a score looks unfamiliar: 7 out of 8 is the shape most people can read at a glance.
5 questions were wrong out of 40, and together they cost 12.5%. If any of them were marked with partial credit the real figure is a little higher — the test grade calculator takes half marks.
87.5% as a letter grade
Schools do not all cut letters at the same percentage, so 87.5% has more than one correct answer. Here is where it lands on the three scales in common US use:
| Scale | Where 87.5% lands | Grade points |
|---|---|---|
| Plus/minus, the most common US scale | B+ | 3.30 |
| Straight letters, 90/80/70/60 | B | 3.00 |
| Seven-point, 93/85/77/70 | B | 3.00 |
On the plus/minus scale this site uses throughout, 35 out of 40 is a B+, worth 3.30 grade points on an unweighted 4.0 scale. A school that grades in straight letters, with no pluses or minuses, would record the same score as a B. A seven-point scale reads it as a B as well. The full band table for all three, and what each letter is worth on the 4.0, 4.3 and 5.0 scales, is on letter grade to GPA.
If this grade came from a weighted class the grade points move rather than the letter: 3.30 becomes 3.80 in an honors class and 4.30 in an AP or IB class, on the usual +0.5 and +1.0 bumps. The high school GPA calculator applies those automatically.
What it takes to reach an A-
The next letter up is an A-, which starts at 90%. On a forty-question test that is 36 out of 40 — one more correct answer than you have. Going the other way, 35 out of 40 is the lowest score that still counts as a B+ — you are exactly on the boundary, and one more wrong answer would have made it a B.
The scores either side of 35 out of 40
One more correct answer is 36 out of 40, 90% — an A-. One fewer is 34 out of 40, 85% — a B. Nothing exists in between. A forty-question test has exactly 40 achievable grades above zero and 87.5% is one of them; a percentage that is not a multiple of 2.5% cannot come off a test this length, whatever a rounding rule does to it afterwards.
What 87.5% does to a course average
One test is rarely the whole grade. If everything else in the course is averaging 85% and this test is worth the share in the left-hand column, the course grade lands here:
| Test is worth | Course grade | Letter |
|---|---|---|
| 10% of the course | 85.3% | B |
| 20% of the course | 85.5% | B |
| 30% of the course | 85.8% | B |
| 40% of the course | 86% | B |
Because 87.5% is above that 85% baseline, this test pulls the course average up by 0.5 points at a 20% weighting. Weightings vary, and a syllabus that puts the final at 30% is a different problem from one that puts it at 10% — put your own categories into the grade calculator, or work backwards from the grade you need with the final grade calculator.
87.5% on other test lengths
87.5% is only reachable on a forty-question test out of the eight test lengths charted here. On every other length the nearest achievable score rounds to something else, which is the practical reason two students with the same understanding can end up with different letters: the test length decides which grades exist before anyone answers a question. Compare the charts if you want to see where the boundaries fall.
About forty-question tests
A forty-question test, long enough for a full class period and common as a mid-term. Every score on one, from 1 to 40, is charted on the out of 40 page, and the easy grader turns the same table around for marking a stack of papers: count what is wrong rather than what is right.