Maths practice for 14 year olds - last page
Number of problems found: 6239
- Ships
At 0:00, the ship set sail at 22 km/h. At 9:00 followed by 43 km/h sailboat. When does the sailboat catch up with the ship? How many minutes will catch uptake?
- Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)?
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55.
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL) if the track is 158 km long.
- Party
At the party, everyone clinked with everyone. Together, they clink 406 times. How many people were at the party?
- Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 34.5°. Consider a globe with a radius of 6378 km.
- Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs.
- Dice
How many times must you throw the dice, and was the probability of throwing at least one päťky greater than 50%?
- Bomber
Bomber flies 10 km at 600 km/h. At what horizontal distance from the target must the pilot drop the bomb to hit the target? Don't care about air resistance and consider the gravitational acceleration g=9.81 m/s².
- Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?
- Crossroads
A passenger car and an ambulance come to the rectangular crossroads, and the ambulance leaves. The passenger car is moving at 39 km/h, and the ambulance is moving at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
- Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
- Engineer Kažimír
Comical errors, disputes and plots arise when converting physical units. The core of today's dispute was the price of natural gas. The unit was changed - from the natural unit of cubic meter of gas to the unit kWh. The goal was to be able to compare the p
- Profitable bank deposit 2012
Calculate the value of what money is lost to the creditor with a deposit € 11200 for 4 years if the entire duration is interesting 2% p.a. and tax on interest is 19%. Annual inflation is 3.7% (Calculate what you will lose if you leave money lying idle at
- Eiffel Tower
The Eiffel Tower in Paris is 300 meters high and made of steel. It weighs 8,000 tons. If the tower model made of the same material weighs 1.8 kg, how tall is it?
- Speed of Slovakian trains
Rudolf took the train from the station 'Nitra' to 'Nové Zámky'. In the train timetables found train Os 5004 : km 0 Prievidza 14:25 4 Koš 14:30 14:31 9 Nováky 14:36 14:37 13 Zemianske Kostoľany 14:42 14:43 16 Bystričany 14:47 14:48 19 Oslany 14:51 14:51 23
- The game of blind man's buff
The Slovak levy system makes gross wage deductions for your pay state employees. It has two components—part employee pays and part paid by the employer. Suppose that the super gross wage is paid 21% employer. After deducting these contributions, we receiv
- Greek railwayman
Lewis has worked for the Slovak railways since 2000. His salary is 950 €. His colleague Evgenias works at the Greek State Railways from 1984. Evgenias earns 5700 € per month. Calculate: a) how many times does Evgenias earn more than Lewis? b) how many tim
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