Math practice for 13 year olds - page 45 of 413
Number of problems found: 8259
- 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. - Tractor 19
A tractor ploughs a field in 48 hours using a plough with 5 blades. How long will it take to plough the same field using a plough with 6 blades of the same width, maintaining the same tractor speed? - Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m². - Measuring cylinder
A measuring cylinder has a base radius of 35 mm and a height of 500 mm. Calculate the wetted surface area if the liquid level reaches a height of 35 cm. - Women in the company
1,467 women work in a factory. Women make up 46% of all employees. How many employees work in the factory in total? - Water + temperature
We supplied 1,365 kJ of heat to 5 kg of water initially at 20 °C. To what temperature did it heat up? - Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter. - John and Thomas
John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. By how many CZK did Thomas receive less than John? - How big is 4
How large is the angle in a right triangle if one leg is 20 m and the other leg is 1.5 m? - In the library
We have 8 different books in a library. In how many ways can they be arranged? In how many ways can they be arranged if 3 specific volumes must appear in a fixed given order? In how many ways can they be arranged if three specific volumes must appear cons - Grass Mixture
Peter plans to buy a grass seed mixture consisting of meadow grass and fescue seeds for 40 euros total. 1 kg of meadow grass costs 6 euros and 1 kg of fescue costs 10 euros. How much of each should he buy if the resulting mixture is to weigh 6 kg? - Ice + water
A rectangular ice rink measuring 60 m × 30 m had a layer of ice 3 cm thick. How many litres of water were used to create the ice? - Vegetables - slime
A private vegetable grower can complete the harvest in 12 hours, and his son in 10 hours. How long will they take to harvest together? - Small interest 3
Thomas had a certain amount of money in his account, which earned him €64 in interest over a year at an annual interest rate of 2%. What would be the interest on the same amount if the annual interest rate were 3.5%? - Gross
The raw weight of meat is 83 grams. What is the weight of the meat after a 30% increase? Show the calculation. - Worker 8
A worker has a standard output of 15 products in 8 hours, but produced them in 6.5 hours. By what percentage did he exceed the plan? - From a full From a full cylindrical glass with a diameter of 8 cm, 1 decilitre of water was poured out. By how many centimetres did the water level in the glass drop?
- Legs and ratio
The legs of a right triangle are in the ratio a:b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle. - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - Nuts 8
Peter divided nuts between two friends. Each friend received a quarter of all the nuts plus two more nuts. Peter had two nuts left. How many nuts did he have originally?
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