Math practice for 13 year olds - page 45 of 424
Number of problems found: 8477
- Aukro commission
Aukro - the Slovak and also the Czech versions charge various, non-transparent fees (fee for successful sale, commission, buyer protection, service fee). We therefore did a real experiment to determine how much actually Aukro takes. We sold and bought a b - Jewellery-maker
A jewellery-maker threads 5 beads in 20 seconds. A necklace consists of 210 beads, 30 are already threaded. a) Write an equation of the dependence of the number of threaded beads on time (in minutes), during which the jewellery-maker will be threading the - Morse code 2
We have two characters: a dot and a comma. How many two-character and three-character sequences can be created using them, with repetition allowed? - Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height drawn to side AB is 4 cm. Point P is the foot of the altitude from A to side AD. Calculate the area of triangle ABP. - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid with base edge a = 6 cm and height of 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. - 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. - 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. Determine whether triangles ABC and DEF are similar. If so, state the similarity ratio and the theorem by which they are similar. - 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? - Waffle, bar
Janet bought a wafer, a chocolate bar, and a candy bar. She paid 38 Sk in total. The chocolate bar was 8 Sk more expensive than the wafer, and the candy bar was four times more expensive than the wafer. How much did each item cost? - 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?
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