Maths practice for 14 year olds - page 142 of 370
Number of problems found: 7393
- Two prizes
Teacher Mae is giving away a random prize to a class of 15 pupils (7 boys and eight girls). What is the probability that girls will win both prizes? - Different 35501
Dana received four new books. How many different orders can she read them? - Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table? - Tournament 35441
Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded? - Committee 35431
There are 24 students in the class. How many ways can we select a class committee? Where are the chairman, treasurer, and bulletin board? - Isosceles triangle
The given is an isosceles triangle with a base of 24dm and an arm of 15dm. Calculate the height of the triangle. - Ladder and wall
The ladder is 13 m long, and its lower part is 5 m away from the wall. How high does the ladder reach? - 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.
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