This document contains questions and answers from a Polish trivia pursuit game covering various topics including school, countries and languages, art and math, geography and astronomy, general math knowledge and formulas, math and logic, and math and sciences. There are over 100 total questions on these topics testing knowledge of subjects like Polish schools, languages, tessellations, geography, astronomy, algebra, fractions, physics, and chemistry formulas.

1. Questions for the Trivia Persuit game from Poland
I. School, countries and languages
1. What is the name of the patron of the Polish school in Golub-Dobrzyń?
Answer: Anna Vasa
2. How do you say “ thank you“ in Polish?
Answer: Dziękuję
3. There are 457 students in Polish school, about 58% of them are girls. How many boys
attend the school?
Answer: 192 boys
4. How do you say “hello” in Polish?
Answer: Cześć
5. What is the name of Polish astronomer who proved that the Earth goes round the Sun
and was born in Toruń?
Answer: Copernicus
6. Name three languages that are taught in Polish school?
Answer: English, German and Russian
7. The school grounds include the area of 183,475 m2
, and the school building has the
area of one-fifth of the whole ground. Calculate the area of the school in square meters.
Answer: It’s about 36,695m2
8. Name the capital city of Portugal.
Answer: Lisboa
9. What is the name of the longest river in Poland?
Answer: Vistula
10.Name three cities in Poland in which European football championship was held in 2012.
Answer: Warsaw, Gdańsk, Wrocław, Poznan
II. Art and Maths
1. An ornamental motif of the late Gothic tracery seeing in the picture
Answer: Fish bladder
2. Which regular polygons will tessellate on their own without any spaces or overlaps?

2. Answer: Equilateral triangles, squares and regular hexagons are the only regular
polygons that will tessellate.
3. What is the name of the geometric decoration in gothic window in Malbork below?
Answer: Quatrefoil
4. Name the Archimedean tessellation seeing in the picture?
Answer: Tiling 3.4.6.4
5. What is the name of tessellation made from more than one type of regular polygon so
that the same polygons surround each vertex?
Answer: The Archimedean tessellation.
6. What kind of symmetry can you identify in the polish paper folk cut-out?
Answer: Reflection symmetry (mirror symmetry , line symmetry ) and rotational
symmetry
7. What is the basic pattern in Gothic architecture?
Answer: It’s a pointed arch.
8. What is the Reuleaux triangle based on?

3. Answer: It’s based on an equilateral triangle.
9. Who popularized the use of mathematical tessellations in art with his fantastical
repeating designs and optical illusions?
Answer: Dutch graphic artist M.C. Escher
10.What kind of symmetry can you identify in the rose windows?
Answer: Reflection symmetry (mirror symmetry , line symmetry ) and rotational
symmetry
III. Geography and Astronomy
1. Calculate the density of population in Poland if the area is 312 679 km² and the total
population is 38 538 447.
Answer: 123.25 people/km2.
2. Calculate the fall of the River Vistula.
Data: the height of the Vistula’s spring – 1106 m above the sea level
the height of its mouth 0 m above the sea level
the length of the river 1047 km
Answer: F = 1106 m – 0 m : 1047= 1,05 ‰
3. Calculate the height of the Sun on 22nd
June in Kells. The altitude of Kells is 52°44’.
Answer: h = 90° - 52°44’ + 23°27’ = 60°43’
4. Which town has the shorter day on 22nd
December? Golub-Dobrzyń or Genoa?
Answer: Golub-Dobrzyń. ( the further from the Equator in December the shorter day)
5. Calculate the real distances between Golub-Dobrzyń and Priego de Cordoba using the
map which scale is 1:12 000 000. The distance on the map is 21 cm.
Answer: 21· 120 = 2520 km.
6. Calculate the real area of Genoa using the map whose scale is 1:500000 and the area
of the city on the map is 9,72 cm2
.
Answer: 1cm – 5km, 1 cm2
– 25km2
, 25 km2
· 9,72 = 243km2
7. In which city does the Sun rise earlier on 21 March, in Genoa or in Priego de Cordoba?
Answer: in Genoa. It is further to the East.
8. In Golub-Dobrzyń, (19 E ) solar time is 6 a.m. Calculate the time in Beja (8W).
Answer: 19 + 8 = 27, 27·4 min = 108min, 108min:60 = 1hr48min
6 a.m. – 1hr 48min = 4:12 a.m.
9. Calculate the density of roads per 1 km2
in Belgium. Data: the area of Belgium is
30528km2
and the length of roads is 145850 km.

4. Answer: 145850 : 30528 = 4.77/1km2.
10.In which city has a longer day on 22 June, in Sint-Niklaas on in Beja?
Answer: in Sint-Niklaas. This city is closer to the North Pole on 22 June and has the
longer day.
IV. General Maths knowledge, formulas and History
1. What is the formula to find the area of a trapezium?
Answer:
2. How many faces, vertices and edges does a hexagonal pyramid have?
Answer: 7 faces, 7 vertices, 12 edges
3. Diophantus of Alexandria is often called the father of …
Answer: Algebra
4. Why were fractions used by the ancient Egyptians different to ours?
Answer: Because most of them used 1 in the numerator
5. When and where was the sign = introduced?
Answer: During the Renaissance in England
6. Who popularized the use of the Greek letter pi as a symbol for the constant of the
circumference-to-diameter ratio of a circle?
Answer: Swiss mathematician Leonhard Euler
7. If the number 360 is written as a product of its prime factors in the form a3
b2
c, what is
the numerical value of a + b + c ?
Answer: a + b + c = 2 + 3 + 5 = 10
8. What is the sum of natural numbers from 1 to 100?
Answer: 5050
9. What is the interior angle of a regular decagon?
Answer: 144°
10.What is the sum of the elements in the 10th row of Pascal's triangle?
Answer: The sum of the n-th row is 2 raised to the power of n. The sum is 1024.
V. Maths and Logic
1. A boy has as many sisters as brothers and his sister has half as many sisters than
brothers. How many boys and girls are in the family?
Answer: 4 boys, 3 girls
2. In the middle of a round pool lies a beautiful water lily. The water lily doubles in size
every day. After exactly 20 days, the lily will cover the complete pool. After how many
days will the water lily cover half of the pool?
Answer: After 19 days, the water lily will cover half of the pool.
3. It is dark in my bedroom and I want to get two socks of the same color from my
drawer, which contains 24 white and 24 blue socks. How many socks do I have to take
from the drawer to get at least two socks of the same color?
Answer: 3
4. A certain street contains 100 buildings. They are numbered from 1 to 100. How many
times does the digit 9 occur in these numbers?
Answer: 21
5. A frog has fallen into a pit that is 30m deep. Each day the frog climbs 3m, but falls 2m at
night. How many days does it take for him to escape?
Answer: 28 days
6. A fisherman was asked the length of the fish he had caught. He said "It is 30 cms plus half
its length“. How long was the fish?
Answer: 60 cms

5. 7. What is the missing number in the pie below?
Answer: The missing number is 6
8. What is two days after the day after the day before yesterday?
Answer: Tomorrow.
9. If two painters can complete two rooms in two hours, how many painters would it take
to do 18 rooms in 6 hours?
Answer: 6 Painters
10.If two men stand back to back, walk in opposite directions for 4 metres, turn to the left
and walk another 3 metres, what is the distance between them when they stop?
Answer: 10 metres
VI. Maths and Sciences
1. Tom requires 20 hours to complete a certain job and Jim will require 30 hours to do
the same job. How long will it take Tom and Jim working together to do the job?
Answer: 12 hours
2. A car accelerates from zero to 30 m/s in 10 seconds. What was its acceleration?
Answer: 3
3. A container of volume 0.05m3
is full of ice. When the ice melts into water, how many
kg of water should be added to fill it up? (density of ice = 900kg/m3
; density of water =
1000kg/m3
)
Answer: 5kg
4. A rubber ball has a radius of 2.5 cm. The density of rubber is 1.2 g/cm3
. What is the
mass of the ball?
Answer: The mass of the ball is about 44 grams.
5. What volume of water is needed to dissolve 16.0 g of NaCl to make a 10% NaCl
solution?
Answer: Volume of water = 144 mL
6. You push a grocery car with a force of 30 N and it accelerates at 2 m/s2
. What is its
mass?
Answer: 15 kg
7. Milk fat is present in milk. Whole milk usually contains about 5.0% milk fat by volume. If
you drink a glass of milk with a volume of 250 mL, what volume of milk fat have you
consumed?
Answer: 12 mL
8. How many grams of salt do you need to make 500 grams of a solution with a
concentration of 5% salt?
Answer: 25 grams
9. A 6-gram marble put in a graduated cylinder raises the water from 30 mL to 32 mL.
What is the marble’s density.
Answer: 3 g/cm3
10.A 20 kg wagon is pulled with a 60N force that is parallel to the ground.
What is the acceleration of the wagon?
Answer: 3