Maths practice for 14 year olds - page 254 of 309
Number of problems found: 6173
- Consecutive numbers
The sum of four consecutive odd numbers is 240. What are the numbers?
- Inscribed circle
XYZ is a right triangle with a right angle at the vertex X and an inscribed circle with a radius of 5 cm. Find the area of the triangle XYZ if XZ = 14 cm.
- Prize
How many ways can 9 participants be rewarded with the first, second, and third prizes in a sports competition?
- Kilogram 3024
One kilogram of raisins costs a crown, and one kilogram of nuts a crown. They added 5 kg raisins and 3 kg nuts to the mixture. How much does 1 kg of mixture cost?
- Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron.
- Calculate 3019
The height is 5 cm, and the size of the angle that the side of the cone with the base makes is 63 degrees. Calculate the surface and volume of this cone.
- Increased 3018
After an increase of 40%, the notebook cost 10.50 euros. How many euros would this notebook cost if it increased in price by only 30% instead of 40%?
- Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s
- Cylinder-shaped 3009
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters?
- Excavate 3008
The well will have a diameter of 2 m and a depth of 7 m. How many cubic meters of soil are needed to excavate a well?
- Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8
- Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need to make this package.
- Average height
In a class are 34 students. The average height of the students is 165 cm. What will be the average height of students in the classroom when two pupils, tall 176 cm and 170 cm, move from this school/class? The average height in meters of all the students i
- Reduced 2989
They reduced the price of the board by 25% after the season. How much does it cost now if they cost 333 euros after the season?
- Tmp workers
Three temporary workers cleaned 60 m of the walkway in 5 hours. How many meters of the walkway were cleared by seven volunteers for eight hours?
- Olympics metals
How many ways can one win six athletes' medal positions in the Olympics? Metal color matters.
- Train expres
At 8.00, the express Tatry started from Bratislava to Poprad. Cities are distant, 340 kilometers. At the same time, it started from Poprad Express Danube to Bratislava. Express Tatry's average speed is 80 km/h, Danube 90 km/h. At what distance from Poprad
- Three piles
We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the second pile. How
- Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm.
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