All flashcard decks Državna Matura (Bosnia & Herzegovina) syllabus →

52 cardsDržavna Matura (Bosnia & Herzegovina)

Matura Key Formulas and Facts

52 flashcards with key formulas and terms in mathematics, physics and literature. Study material written for practice, not an official test.

Start studying Play Match

PDF study sheet

Free account needed to save, copy or download. We bring you back here.

1 / 52

0 known

TermClick or press Space to flip

Quadratic formula for

a x^{2} + b x + c = 0

GetMyMockTestQuestion side

Full list

Terms in this deck (52)

Državna Matura (Bosnia & Herzegovina) mock tests →

Quadratic formula for

a x^{2} + b x + c = 0

x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

Discriminant and the number of real roots

D = b^{2} - 4 a c

. If

D > 0

there are two roots, if

D = 0

one double root, if

D < 0

none.

Vertex of

y = a x^{2} + b x + c

x_{v} = - \frac{b}{2 a}

, then find

y_{v}

by substituting.

Sum of interior angles of an

n

-gon

(n - 2) \cdot 18 0^{\circ}

n

th term of an arithmetic sequence

a_{n} = a_{1} + (n - 1) d

n

th term of a geometric sequence

a_{n} = a_{1} q^{n - 1}

Sum of an infinite geometric series

S = \frac{a _{1}}{1 - q}

, only if

∣ q ∣ < 1

Pythagorean theorem

In a right triangle

a^{2} + b^{2} = c^{2}

, where

c

is the hypotenuse.

Law of cosines

c^{2} = a^{2} + b^{2} - 2 ab cos γ

Area of a circle and its circumference

A = r^{2} π

and

C = 2 r π

Volume of a cylinder

V = r^{2} π h

Product rule of logarithms

lo g_{a} (x y) = lo g_{a} x + lo g_{a} y

Derivative of

x^{n}

(x^{n})^{'} = n x^{n - 1}

Number of ways to choose

k

from

n

(k n) = \frac{n !}{k ! ( n - k )!}

Newton's second law

F = ma

. The unit of force is the newton.

Kinetic energy

E_{k} = \frac{1}{2} m v^{2}

Work done by a force at an angle

W = F s cos α

, measured in joules.

Ohm's law

U = I R

. Voltage in volts, current in amperes, resistance in ohms.

Equivalent resistance of two resistors in parallel

R = \frac{R _{1} R _{2}}{R _{1} + R _{2}}

Wave speed

v = f λ

Pressure

p = \frac{F}{A}

, measured in pascals.

Metaphor versus simile

A metaphor says one thing is another. A simile compares with 'like' or 'as'.

Seven cases in Bosnian, Croatian and Serbian

Nominative, genitive, dative, accusative, vocative, locative and instrumental.

Deseterac

The ten-syllable line of traditional epic songs, with a pause after the fourth syllable.

Author of The Bridge on the Drina and Nobel laureate of 1961

Ivo Andrić.

Author of Death and the Dervish

Meša Selimović.

Law of sines

\frac{a}{s i n α} = \frac{b}{s i n β} = \frac{c}{s i n γ} = 2 R

, where

R

is the circumradius.

Basic trigonometric identity

sin^{2} x + cos^{2} x = 1

for all real

x

Double-angle formula for sine

sin (2 x) = 2 sin x cos x

Double-angle formula for cosine

cos (2 x) = cos^{2} x - sin^{2} x = 2 cos^{2} x - 1 = 1 - 2 sin^{2} x

Derivative of sine and cosine

(sin x)^{'} = cos x

and

(cos x)^{'} = - sin x

Derivative of exponential and natural log

(e^{x})^{'} = e^{x}

and

(ln x)^{'} = \frac{1}{x}

for

x > 0

Slope of a straight line through two points

m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}

for

x_{1} \neq = x_{2}

Distance formula in Cartesian coordinates

d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}

Midpoint between

(x_{1}, y_{1})

and

(x_{2}, y_{2})

M = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})

Volume and surface area of a sphere

V = \frac{4}{3} π r^{3}

and

A = 4 π r^{2}

Volume of a cone

V = \frac{1}{3} π r^{2} h

Logarithm quotient rule

lo g_{a} (\frac{x}{y}) = lo g_{a} x - lo g_{a} y

for

x, y > 0

Gravitational potential energy

E_{p} = m g h

near Earth's surface.

Conservation of mechanical energy

E_{k} + E_{p} = constant

in an isolated system without non-conservative forces.

Centripetal acceleration

a_{c} = \frac{v ^{2}}{r} = ω^{2} r

Electrical power formula

P = U I = I^{2} R = \frac{U ^{2}}{R}

Snell's law of refraction

n_{1} sin θ_{1} = n_{2} sin θ_{2}

Ideal gas law

p V = n R T

Mak Dizdar

Renowned Bosnian poet author of the collection 'Kameni spavač' (Stone Sleeper) inspired by medieval stećci.

Branko Ćopić

Famous writer from Bosnia and Herzegovina, author of 'Bašta sljezove boje' and 'Ježeva kućica'.

Charter of Kulin Ban (Povelja Kulina bana)

Historic document written in Bosnian Cyrillic (Bosančica) on 29 August 1189 granting trade freedom to Dubrovnik.

Stećci (medieval monumental tombstones)

Monolithic medieval tombstones characteristic of Bosnia and Herzegovina, inscribed on the UNESCO World Heritage list.

Old Bridge of Mostar (Stari most)

16th-century Ottoman bridge over the Neretva River built by Mimar Hayruddin, rebuilt in 2004 as a UNESCO site.

Mehmed Paša Sokolović Bridge in Višegrad

Historic Ottoman bridge over the Drina River completed in 1577 by Mimar Sinan, immortalised in Andrić's novel.

Hyperbole in literature

An intentional stylistic exaggeration for emphasis or dramatic effect.

Personification in literature

Attributing human traits, feelings, or actions to non-human entities or inanimate objects.

Državna Matura (Bosnia & Herzegovina) in Bosnia and Herzegovina

In Bosnia and Herzegovina, Državna Matura (Bosnia & Herzegovina) is part of: School-leaving exams.

Students on the same pathway also practise:

More Državna Matura (Bosnia & Herzegovina) practice

Državna Matura (Bosnia & Herzegovina) mock tests

All Državna Matura (Bosnia & Herzegovina) practice →