Maths practice for 14 year olds - page 297 of 361
Number of problems found: 7214
- Calculate a cone
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. - Notebook price
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 - Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Billboard rental
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? - Well excavation
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. - Glass
Trader ordered from the manufacturer 200 cut glass. The manufacturer confirmed the order that the glass in boxes sent a kit containing either four or six glasses. Total sent 41 boxes. a) How many boxes will contain only four glasses? b) How many boxes wil - 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. - 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. - Gravel - cone
The mound of gravel has a regular circular cone shape with a height of 3.3 meters and a base circumference of 18.85 meters. How many cubic meters of gravel are in a pile? Calculate the weight of gravel if its density is p = 640 kg/cubic m. - Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Three figures - numbers
The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures. - System of equations
Solve a system of equations: x + 4y = -1 y = -1 - System of equations
Solve a system of equations: x + y = 4 x-3y = -6 - System of equations Solve a system of equations: x + y = -1 x + 5y = 3
- Roses
In a large bed of roses, one-sixth were white, half were red, one-quarter were yellow, and six were pink. How many roses were in the flower bed?
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