Square Root Curve Table (0–100)

Look up grades with 10 × √score, or print the complete 0–100 chart.

Complete 0–100 Score Chart

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Square root curve table: original and curved percentages, rounded to one decimal where needed.
Original score (%)	Curved score (%)
0	0
1	10
2	14.1
3	17.3
4	20
5	22.4
6	24.5
7	26.5
8	28.3
9	30
10	31.6
11	33.2
12	34.6
13	36.1
14	37.4
15	38.7
16	40
17	41.2
18	42.4
19	43.6
20	44.7
21	45.8
22	46.9
23	48
24	49
25	50
26	51
27	52
28	52.9
29	53.9
30	54.8
31	55.7
32	56.6
33	57.4
34	58.3
35	59.2
36	60
37	60.8
38	61.6
39	62.4
40	63.2
41	64
42	64.8
43	65.6
44	66.3
45	67.1
46	67.8
47	68.6
48	69.3
49	70
50	70.7
51	71.4
52	72.1
53	72.8
54	73.5
55	74.2
56	74.8
57	75.5
58	76.2
59	76.8
60	77.5
61	78.1
62	78.7
63	79.4
64	80
65	80.6
66	81.2
67	81.9
68	82.5
69	83.1
70	83.7
71	84.3
72	84.9
73	85.4
74	86
75	86.6
76	87.2
77	87.7
78	88.3
79	88.9
80	89.4
81	90
82	90.6
83	91.1
84	91.7
85	92.2
86	92.7
87	93.3
88	93.8
89	94.3
90	94.9
91	95.4
92	95.9
93	96.4
94	97
95	97.5
96	98
97	98.5
98	99
99	99.5
100	100

Common score answers:66% → 81.2% · 72% → 84.9% · 77% → 87.7% · 86% → 92.7%

Square root curved grades for raw scores from 0 through 100, arranged in three groups.
Raw	Curved	Raw	Curved	Raw	Curved
0	0	34	58.3	68	82.5
1	10	35	59.2	69	83.1
2	14.1	36	60	70	83.7
3	17.3	37	60.8	71	84.3
4	20	38	61.6	72	84.9
5	22.4	39	62.4	73	85.4
6	24.5	40	63.2	74	86
7	26.5	41	64	75	86.6
8	28.3	42	64.8	76	87.2
9	30	43	65.6	77	87.7
10	31.6	44	66.3	78	88.3
11	33.2	45	67.1	79	88.9
12	34.6	46	67.8	80	89.4
13	36.1	47	68.6	81	90
14	37.4	48	69.3	82	90.6
15	38.7	49	70	83	91.1
16	40	50	70.7	84	91.7
17	41.2	51	71.4	85	92.2
18	42.4	52	72.1	86	92.7
19	43.6	53	72.8	87	93.3
20	44.7	54	73.5	88	93.8
21	45.8	55	74.2	89	94.3
22	46.9	56	74.8	90	94.9
23	48	57	75.5	91	95.4
24	49	58	76.2	92	95.9
25	50	59	76.8	93	96.4
26	51	60	77.5	94	97
27	52	61	78.1	95	97.5
28	52.9	62	78.7	96	98
29	53.9	63	79.4	97	98.5
30	54.8	64	80	98	99
31	55.7	65	80.6	99	99.5
32	56.6	66	81.2	100	100
33	57.4	67	81.9

How to calculate a square root curved score

Curved Score = 10 × √(Original Score)

Use an original score on a 0–100 percentage scale. Take its square root, then multiply by 10. Results below are rounded to the nearest tenth; calculations keep full precision. For a test out of another total, convert earned points to a percentage first.

What is 66 on a square root curve?

10 × √66 ≈ 81.2%

An original score of 66% becomes approximately 81.2%, a gain of 15.2 percentage points.

What is 72 on a square root curve?

10 × √72 ≈ 84.9%

An original score of 72% becomes approximately 84.9%, a gain of 12.9 percentage points.

What is 77 on a square root curve?

10 × √77 ≈ 87.7%

An original score of 77% becomes approximately 87.7%, a gain of 10.7 percentage points.

What is 86 on a square root curve?

10 × √86 ≈ 92.7%

An original score of 86% becomes approximately 92.7%, a gain of 6.7 percentage points.

Square root curve table questions

How do I find my score in the table?

Find your original percentage in the left column and read its curved percentage in the right column. Use the filter to narrow the whole-number rows, or enter a decimal in the score selector for a live result.

Do 0 and 100 change?

No. Zero stays 0% and 100 stays 100%. Scores between these endpoints increase under this formula.

Why is my result different from my teacher’s grade?

Your teacher may use a different curve or rounding policy. This table uses 10 × √score and displays up to one decimal place; confirm the grading policy before treating it as an official grade.

Can I use points instead of a percentage?

Convert points first: 36 out of 50 is 72%, which curves to approximately 84.9%. The points-based calculator performs that conversion for you.

How do I save or print the full table?

Choose Download PDF to save the complete one-page chart directly, or Print chart to open your browser’s print dialog. Both include all 101 scores, even when the onscreen table is filtered.

Calculate

Calculate a Square Root Curved Grade

Use the Square Root Curve Calculator for a live result, or review the formula and worked examples. To compare other methods, use the Grade Curve Calculator. See our calculation checksand reference sources for how the chart is verified.