Maths practice for 14 year olds - page 145 of 370
Number of problems found: 7390
- Minutes 35311
Places A and B are 30 km apart. From A, Peter will ride a bike at a speed of 18km/h. Milan is also a bike from B but at 24km/h speed. How far apart will they be after 20 minutes?
- Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston?
- Hydraulic 35291
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
- Five-digit 35261
How many five-digit numbers do we create from digits 1, 2, and 3?
- Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m².
- Calculate 35223
In the ABC triangle, the alpha, beta, and gamma angles are in ratio 0.4:0.2:0.9. Calculate their size.
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
- Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm f = 20cm. Calculate the length of its sides.
- Vacation 35133
The family is going on vacation. Everyone has their luggage. Together the luggage weighs 21kg. The mother's luggage weighs two times more than the father's and the son's 4 kilograms less than the mother's. How much does luggage weigh?
- Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum.
- Equilateral 35073
Draw an equilateral triangle ABC with a side of 8.5 cm. Assemble all the mines and measure them. What is the difference between the longest and the shortest of them?
- Efficiency 35023
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water?
- Divided 35011
13300 CZK is divided into three parts. Part 1 is x, part 2 is 2/3 of part 1, and Part 3 is 2/3 of part 2. Find these parts.
- Light year
A light-year is a unit of length that expresses the distance light travels in one year. What distance will it travel if the speed of light is approximately 300,000 km/s?
- Beginning 34991
At the beginning of the year, the company had CZK 5,000,000 in its account. He has the money saved at a 16% interest rate. How much was the interest for the first year? How much was the interest for the second year?
- To the cinema 2
A cinema ticket costs 150 CZK for children and 200 CZK for adults. 100 tickets were sold for the film screening and the cashier collected 16,000 CZK. Calculate: a. How many children's tickets were sold? b. How much CZK was collected for the adult ticket?
- T-shirts 34951
How many ways can I dress in the morning if I can choose from 10 T-shirts, eight shirts and nine pants? I wear pants plus a T-shirt or pants plus a shirt.
- Current in the conductor
Calculate the current in the conductor (in mA) if it is connected to a 4.5 V voltage source and its resistance is 20 (ohm).
- Resistance 34891
What is the voltage in the circuit if its total resistance is 920 (Ohms) and the current is 250 mA?
- The bulb
What is the resistance of a filament lamp when it is connected to a 9V battery and has a current of 120 mA?
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