Maths practice for 14 year olds - page 244 of 362

Number of problems found: 7230

Aquarium Dimensions and Volume
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6600 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge?
12 apples
Twelve apples and two loaves of bread cost 5.76, and 6 apples and three loaves of bread cost 7.68. How much is a loaf of bread?
Surface of cubes
Peter molded a cuboid of 2 cm, 4 cm, and 9 cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes?
The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia
Balls Two Colors Ratio
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have?
Kilometers Driven Increase
In 2016, we drove 52893.9 km, and in 2017, we drove 64035.4 km. By how many kilometers did they increase?
Flying
The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable?
Pyramid Volume Trapezoid Base
Calculate the volume of a 1.3 dm high pyramid with a trapezoidal base. The bases are 2.3 dm and 1.6 dm long, and the pyramid's height is 1.8 dm.
Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times?
Two brothers
Two brothers want to collect 20 kg of chestnuts. If only Mark collected, he would make it in 30 minutes. It would take Milo 10 minutes longer. How long after Mark does Milo have to start collecting to be finished in 18 minutes?
Three-Day Hike Distances
Jonas and Victor went on a three-day hike starting Friday. On the first day, they covered a fifth of the total route. On Saturday, they covered three-quarters of the remaining distance, and had 20 km left for Sunday. What percentage of the total route did
Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm.
Ratio of Two Numbers
Fifty percent of the number x equals sixty percent of the number y. What is the ratio of the numbers x and y?
13 tickets
A short and long sightseeing tour is possible at the castle. A ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour
Girls
The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition?
Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width?
Test Score Percentage
The natural history test contained 21 questions. The teacher evaluated each question by two points. Milan wrote a test for 39 points. At what percentage was Milan successful?
Grammar School Admission
115 girls and 136 boys enrolled at a grammar school. 64 students were admitted. What percentage of all applicants were admitted?
Examples Solved Percentage
Susan planned to recalculate 20 examples from the new collection during the holidays, but she only managed to calculate 13 of them. At what percentage did she fulfill her plan?
Visiting Cities Order Ways
The tourist group wanted to visit the four Slovak cities: Bratislava, Banská Bystrica, Ružomberok, and Levice. They decided that Levice would be the third place they would visit. How many different ways could they organize their city visit program?

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