Math practice for 13 year olds - last page
Number of problems found: 8719
- Election mathematics
In elections, 8 political parties received this share of voters: strana A ; 56 % strana B ; 11.9 % strana C ; 11.7 % strana D ; 8.8 % strana E ; 6.3 % strana F ; 5.1 % strana G ; 0.2 % Calculate what the shares acquired in the parliament if a quorum is 5%
- Cu thief
The thief stole 25 meters of copper wire with a cross-section area of $s mm². Calculate how much money is earned on scrap redemption if copper is redeemed for 5.1 Eur/kg. Copper's density is 8.96 t/m³.
- Bicycle wheel
A bicycle wheel has a diameter of 60 cm. Approximately how many times does the wheel rotate at a 2.5 km long trip?
- N-gon angles
What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon?
- Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and Horná štubňa (624 m AMSL) if the track is 37 km long.
- 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.
- 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.
- Temperature calculus
Calculate the percentage of temperature stúpla if changed from 3°C to 7°C.
- 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.
- Required reserves
Calculate the minimum amount of money the bank must hold in cash from your deposit 2750 Eur. How much money is ideally created in the banking system from your deposit if the level of minimum reserve requirement is 2.15%? Consider fractional reserve system
- 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 bug
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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