Maths practice for 14 year olds - page 33 of 378
Number of problems found: 7551
- Daniel 3
Daniel and Eva earned 180 euros together. Daniel earned 70 euros more than Eva. How much did Daniel earn, and how much did Eva earn? - Three friends 10
Three friends Peter, Tomáš and Jirka earned 4000 CZK working part-time. Peter earned three times more than Tomáš and Jirka earned 500 CZK more than Tomáš. How much did each of them earn? - In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane. - Matej 2
Matej, Marko, Milan, and Matúš had a total of 205 football player cards with signatures. Marko has four times more than Matej. Matúš had two times less than Marko. Milan had 20 cards less than Matúš. How many cards did each have? - In the domestic
In the domestic express train, there are 1st and 2nd class carriages. There are 2x more 2nd class carriages than 1st class. There are 10 compartments in each carriage. In 1st class, each compartment has 6 seats, and in 2nd class carriages, there are eight - How many 172
How many five-digit numbers are there that have exactly 2 fours and exactly 3 sevens in their notation? - Average time
Determine the average time required in minutes for one product, if it is known that 6 workers need 8 minutes, 15 workers 12 minutes, 5 workers 10 minutes, and 9 workers 13 minutes.
- Construct 22
Construct a rhombus ABCD if the diagonals are f=7cm, e=5 cm. - Between terminals
Between terminals of a 220V resistor. A current of 220mA flows through the resistor. Determine the current that flows through the resistor if we connect it to the terminal of a 24 V voltage source. - The tower
From a window 8 m above the horizontal plane, we can see the top of the tower at an elevation angle of 53 degrees 20 minutes, and its base at an angle of 14 degrees 15 minutes. How high is the tower? - Two Sections
A sphere with a radius of 5 cm was divided into two spherical sections. The height of the smaller section is 1cm. Determine the volume of the smaller section to the nearest hundredth of a cm³. - To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors to the cinema during these three days. How many were there each day? - HAMMER 4
Determine how many ways can the letters of the word HAMMER be rearranged so that in this rearrangement some group of consecutive letters forms the word CAL. - Members 2 The members of a housing cooperative elected a seven-member board. In how many ways can a chairman, vice-chairman, treasurer, and recorder be chosen from among them?
- Books in Slovak and English
Vlasta has 4 Czech and 3 English books. She wants to arrange them on a shelf so that Slovak books are first and then English books are second. How many ways are there to do this?
- Birthday boy 2
In how many ways can seven people be seated around a table so that the birthday boy sits at the head? - HAMMER 3
Determine how many ways it is possible to rearrange the letters of the word HAMMER so that in this rearrangement some group of consecutive letters forms the word WATER. - Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm. - Relay
The relay race will be run for the class of Katka, Alice, Michaela, and Erika. Determine how many different orders there are in which the girls can run, as long as each of them can run in any position. - Police on time
A boat with smugglers has left the shore and is traveling at a speed of 85 km/h. In 10 minutes, a police boat starts chasing it at a speed of 110 km/h. International waters, where the possibility of apprehending smugglers ends, begin 30 km from the coast.
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