NMT / ZNO

Formulas and reference

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

ZNO — full reference · Geometry · 11 formulas
Full ZNO Expanded school formula set. The “NMT” badge marks formulas also present on the compact sheet.
Quadrilaterals

Parallelogram

Area of a parallelogram

NMT
\[S=ah_a\]
8–11 grade

Parallelogram area from two sides and an angle

NMT
\[S=ab\sin\gamma\]
9–11 grade

Sum of squares of parallelogram diagonals

\[d_1^2+d_2^2=2(a^2+b^2)\]
8–11 grade
Quadrilaterals

Rectangle

Area of a rectangle

NMT
\[S=ab\]
5–11 grade

Diagonal of a rectangle

\[d=\sqrt{a^2+b^2}\]
8–11 grade
Quadrilaterals

Rhombus

Rhombus area from diagonals

NMT
\[S=\frac12d_1d_2\]
8–11 grade

Rhombus area from a side and angle

\[S=a^2\sin\alpha\]
9–11 grade
Quadrilaterals

Square

Area of a square

\[S=a^2\]
5–11 grade

Diagonal of a square

\[d=a\sqrt2\]
8–11 grade
Quadrilaterals

Trapezoid

Midline of a trapezoid

\[m=\frac{a+b}{2}\]
8–11 grade

Area of a trapezoid

NMT
\[S=\frac{a+b}{2}\,h\]
8–11 grade