Maths practice for 14 year olds - page 365 of 368

Number of problems found: 7348

Tractors
Fields go plow two tractors with various performances. The first tractor plows the whole field in 14 hours. The second tractor plows the whole field 8 hours déle. How long does it take to plow the whole field with two tractors?
Bits, bytes
Calculate how many different numbers can be encoded in a 64-bit binary word.
Rectangle Anton
The difference between the length and width of the rectangle is 3. Length is 2-times larger than the width. Calculate the dimensions of the rectangle.
Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to piatich characters.
Examination
The class is 25 students. How many ways can we choose 5 students for examination?
Teams
How many ways can we divide 14 players into two teams of 7 members?
Tournament
Determine how many ways can be chosen štyria representatives from 32 students to school tournament.
Guests
How many ways can 8 guests sit down on 10 seats standing in a row?
Tangents
To circle with a radius of 41 cm from the point R guided two tangents. The distance of both points of contact is 16 cm. Calculate the distance from point R and circle center.
Discounts on rail (ZSSK)
The railway company ZSSK offers a discount of 40% (SENIOR RAILPLUS) for 9.9 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 5 Eur per week.
Elections
In elections, candidates 8 political parties. Calculate how many possible ways the elections can finish if two parties do not get the same number of votes.
Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
Sphere fall
How much percent fall volume of a sphere if the diameter decreases 3×?
Sphere growth
How many times does a volume of the sphere rise if priemer rises 10×?
2nd class variations
From how many elements can you create 5112 variations of the second class?
Football league
In the 5. football league is 10 teams. How many ways can be filled first, second, and third place?
Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 18 dm above water, and the width of the surfaced barrel part is 34 dm. The barrel length is 12 dm. Calculate the volume of the barrel.
3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
Inflation
Once upon a time, the tsar owned a money printer and printed and printed. Printing money prices went up in the first year 2.7 %, in the second 2.1%, in the third 3.6%, and in the fourth 5.4%. Then tsar failed in the election. Calculate the average annual
Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers?

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