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30 cardsEgzamin Osmoklasisty (Eighth-Grade Exam, Poland)

Eighth-Grade Maths Formulas

Flashcards with the formulas for area, volume, percentages, speed and equations used in the eighth-grade exam in Poland. Original study material.

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Area of a rectangle

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Area of a rectangle

A = a \cdot b

Area of a triangle

A = \frac{1}{2} \cdot a \cdot h

Area of a parallelogram

A = a \cdot h

Area of a trapezium

A = \frac{1}{2} (a + b) \cdot h

Area of a circle

A = π r^{2}

Circumference of a circle

C = 2 π r

Pythagorean theorem

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

in a right triangle

Volume of a cuboid

V = a \cdot b \cdot c

Volume of a prism

V = base area \times height

Volume of a pyramid

V = \frac{1}{3} \cdot base area \cdot height

Total surface area of a cuboid

2 (ab + b c + a c)

Sum of the angles of a triangle

18 0^{\circ}

Sum of the interior angles of a polygon with

n

sides

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

Distance, speed and time

s = v \cdot t

Average speed on a trip

Total distance divided by total time

Percentage of a number

p % of N = \frac{p}{100} \cdot N

Price after an increase of

p %

price \times (1 + \frac{p}{100})

Price after a decrease of

p %

price \times (1 - \frac{p}{100})

Mean of a set of numbers

Sum of the numbers divided by how many there are

Median

The middle value of the ordered numbers

Probability of an event

Favourable outcomes divided by all possible outcomes

Multiplying powers with the same base

a^{m} \cdot a^{n} = a^{m + n}

Dividing powers with the same base

a^{m} \div a^{n} = a^{m - n}

Power of a power

(a^{m})^{n} = a^{mn}

Ratio

a : b

and the whole

T

One part is

T \div (a + b)

Converting kilometres to metres

Multiply by 1000

Converting hours to minutes

Multiply by 60

Solving

a x + b = c

x = \frac{c - b}{a}

Sum of a number's digits divisibility rule for 3

A number is divisible by 3 if the sum of its digits is

Perimeter of a rectangle

P = 2 (a + b)

Egzamin Osmoklasisty (Eighth-Grade Exam, Poland) in Poland

In Poland, Egzamin Osmoklasisty (Eighth-Grade Exam, Poland) is part of: School-leaving exams.

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