NMT / ZNO

Formulas and reference

A compact mathematics reference in two levels: the NMT exam sheet and the full ZNO formula set.

NMT — exam reference sheet · Algebra · 4 formulas
NMT mode Shows only the compact set matching the NMT-2026 reference materials.
Sequences

Arithmetic progression

n-th term of an arithmetic progression

\[a_n=a_1+d(n-1)\]

Sum of the first n terms of an arithmetic progression

\[S_n=\frac{a_1+a_n}{2}\,n\]
Sequences

Geometric progression

n-th term of a geometric progression

\[b_n=b_1q^{\,n-1}\]

Sum of the first n terms of a geometric progression

\[S_n=\frac{b_1(q^n-1)}{q-1}\]
Condition \(q\ne1\)
Trigonometric values table
α 0°30°45°60°90°180°270°360°
sin α \(0\) \(1/2\) \(\sqrt2/2\) \(\sqrt3/2\) \(1\) \(0\) \(-1\) \(0\)
cos α \(1\) \(\sqrt3/2\) \(\sqrt2/2\) \(1/2\) \(0\) \(-1\) \(0\) \(1\)
tg α \(0\) \(1/\sqrt3\) \(1\) \(\sqrt3\) \(\text{—}\) \(0\) \(\text{—}\) \(0\)
Squares table 10–49
102 = 100 112 = 121 122 = 144 132 = 169 142 = 196 152 = 225 162 = 256 172 = 289 182 = 324 192 = 361 202 = 400 212 = 441 222 = 484 232 = 529 242 = 576 252 = 625 262 = 676 272 = 729 282 = 784 292 = 841 302 = 900 312 = 961 322 = 1024 332 = 1089 342 = 1156 352 = 1225 362 = 1296 372 = 1369 382 = 1444 392 = 1521 402 = 1600 412 = 1681 422 = 1764 432 = 1849 442 = 1936 452 = 2025 462 = 2116 472 = 2209 482 = 2304 492 = 2401