SHSAT raw-to-scaled conversion table

Estimated raw-to-scaled conversion (per section)

The table below shows our estimated scaled score for every possible raw score from 0 to 57. Each section of the SHSAT (ELA and Math) uses the same conversion, and your composite is the sum of your two scaled scores.

How to read this table: Find your raw score in the left column. The middle column shows what percentage of questions that represents (out of 57). The right column shows the estimated scaled score for that raw score.

Raw score	% correct	Estimated scaled
0	0.0%	100
1	1.8%	106
2	3.5%	111
3	5.3%	116
4	7.0%	122
5	8.8%	128
6	10.5%	133
7	12.3%	138
8	14.0%	144
9	15.8%	150
10	17.5%	155
11	19.3%	160
12	21.1%	165
13	22.8%	170
14	24.6%	175
15	26.3%	180
16	28.1%	185
17	29.8%	190
18	31.6%	195
19	33.3%	200
20	35.1%	205
21	36.8%	209
22	38.6%	213
23	40.4%	217
24	42.1%	221
25	43.9%	225
26	45.6%	230
27	47.4%	234
28	49.1%	239
29	50.9%	243
30	52.6%	248
31	54.4%	253
32	56.1%	258
33	57.9%	263
34	59.6%	268
35	61.4%	273
36	63.2%	278
37	64.9%	284
38	66.7%	289
39	68.4%	295
40	70.2%	300
41	71.9%	306
42	73.7%	312
43	75.4%	318
44	77.2%	325
45	78.9%	332
46	80.7%	338
47	82.5%	345
48	84.2%	352
49	86.0%	358
50	87.7%	365
51	89.5%	371
52	91.2%	377
53	93.0%	382
54	94.7%	388
55	96.5%	392
56	98.2%	397
57	100.0%	400

How the conversion curve works

The conversion is non-linear. A raw score of 30 maps to a scaled score around 248. A raw score of 40 maps to around 300. That's a 52-point scaled increase for 10 additional correct answers — about 5.2 scaled points per raw point in this band.

But at the top of the range, the curve gets steeper. From raw 50 to raw 57 (the top 7 raw points), the scaled score moves from approximately 365 to 400 — a 35-point scaled increase for only 7 additional correct answers, or 5 scaled points per raw point. And the last few raw points are worth even more: going from raw 55 to raw 57 produces a scaled increase of around 8 points.

This curve shape is consistent with how equated standardized tests typically scale. The intuition: each additional correct answer at the top demonstrates more ability than each additional correct answer in the middle, because the harder questions require correctly applying more advanced skills consistently.

Composite from your two scaled scores

Once you have your ELA scaled score and your Math scaled score, your composite is simply the sum: ELA + Math = Composite. Some example composites:

ELA raw	ELA scaled	Math raw	Math scaled	Composite	Qualifies for
35	273	35	273	546	All except Stuy
40	300	40	300	600	All schools
30	248	30	248	496	Brooklyn Latin
45	331	45	331	662	All schools (comfortable)
48	352	48	352	704	All schools (top tier)

Accuracy of this table

This conversion is our estimate, not the official NYC DOE conversion. Specifically:

• Low-to-mid raw range (10–40): Our scaled estimates are typically within ±3 points of the official conversion for any given year.
• High raw range (45–57): Typically within ±5 points of the official conversion. The curve is steeper here and the yearly equating moves it more.
• Per-year drift: The official conversion is re-equated each year. The same raw score can produce slightly different scaled scores from one year to the next. Our table estimates a typical conversion rather than year-specific.

For the technical details of how this table was derived, see our methodology page.