Maths practice for 14 year olds - page 32 of 379
Number of problems found: 7575
- 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm. - Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram. - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an interest rate of 10% p. . a., he paid €19,000 for it. How much € of interest was deducted from the face value of the bill? - Tractor 19
A tractor plows a field in 48 hours using a plow with 5 blades. How long will it take it to plow the same field with a plow with 6 blades of the same width, while maintaining the same tractor speed? - Painting a column
How many kg of paint do we need to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m long and a height to the base edge of 2 m, if 1 kg of paint is enough for 25 m² of paint? The column is 10 m high. - Similarity coefficient
Given triangle ABC with sides a = 12 cm b = 9 cm c = 7 cm and triangle DEF with sides d = 8.4 cm, e = 6.3 cm f = 4.9 cm Find out if triangles ABC and DEF are similar if so, write the similarity coefficient and according to which sentence they are similar - Women in the company
1467 women work in a factory. Women make up 46% of all employees in the factory. How many employees work in the factory?
- Water + temperature
We supplied 1365 kJ of heat to water weighing 5 kg and initially at 20°C. To what temperature did it heat up? - Painters 5
Six painters were supposed to paint 6000 m² of area within the planned time. Two painters got sick, so each of the four who remained had to paint 50 m² more each day than the planned daily output. Calculate the original planned daily output of one painter - John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. How many CZK did Thomas receive less than John? - How big is 4
How big is the angle when one side is 20m and the other is 1.5m in a right triangle? - In the library
We have 8 different books in the library. How many ways can they be arranged? How many possibilities are there if 3 volumes are to be in a certain order? How many possibilities are there if three volumes are to be in a row independently in order? - Grass Mixture
Peter plans to buy a grass mixture consisting of meadow grass and fescue seeds for 40 euros. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each component should he buy if the resulting mixture is to weigh 6 kg? - Ice + water
A rectangular ice rink measuring 60 m by 30 m had a layer of ice 3 cm high. How many liters of water were used to create the ice? - Vegetables - slime
A private vegetable grower harvests in 12 hours, and his son in 10 hours. How long will they harvest together?
- Small interest 3
Tomáš had a certain amount of money in his account, which earned him €64 in interest for a year at an interest rate of 2% p. a. What would be the interest on the same amount if the annual interest rate was 3.5%? - Equality of Moments
A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance. - 4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10cm and 4cm and the height of the side wall is 5cm. - Worker 8
The worker has a work standard of 15 products in 8 hours, he produced them in 6.5 hours. By what % did he fulfill the plan? - Me and my father
My father and I are now 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I?
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