Math practice for 13 year olds - page 428 of 429
Number of problems found: 8567
- Square and circles
Square with sides 68 km is circumscribed and inscribed with circles. Determine the radiuses of both circles. - Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Ladder
The ladder 8 m long is leaning against the wall. Its foot is 1 m away from the wall. At which height does the ladder touch the wall? - Percentages and numbers
How much is the percentage of number 69 smaller over number 276? - Percent calculation
Calculate 12% if 41% is 74. - Car inflation
What percentage of car price increases if the price rises from €4790 to €4890? - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm.. - Two numbers
Find two numbers whose difference and the ratio are 4. - Acid
The barrel is 79 liters of 60% acid. How many percent of acids occur when 4 liters are revoked and replaced with the same amount of water? - 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. - 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
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