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 · 5 formulas

NMT mode Shows only the compact set matching the NMT-2026 reference materials.

Quadratic equation

\[ax^2+bx+c=0\]

Condition \(a\ne0\)

Discriminant

\[D=b^2-4ac\]

Roots for D>0

\[x_1=\frac{-b-\sqrt D}{2a}\]

\[x_2=\frac{-b+\sqrt D}{2a}\]

Condition \(D\gt 0\)

Root for D=0

\[x_1=x_2=-\frac b{2a}\]

Condition \(D=0\)

Factorization of a quadratic trinomial

\[ax^2+bx+c=a(x-x_1)(x-x_2)\]

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