Math practice for 13 year olds - page 283 of 431
Number of problems found: 8620
- Quadrilateral 6138
What is the tent's height in the shape of a regular quadrilateral pyramid, whose volume is three dm³ and the base has an area of 6 dm²? - 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? - School 6127
The gym at the school is 12 m wide and 1800 cm long. Draw it on a scale of 1:500 - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm 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 well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well? - Yellows 6118
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 6115
In 2016, we drove 52893.9 km, and in 2017, we drove 64035.4 km. By how many kilometers did they increase?
- Pool tiles
The pool is 25m long, 10m wide, and 160cm deep. How many m² of tiles will be needed on the walls and the pool? How many tiles are needed when one tile has a square shape with a 20cm side? How much does it cost when 1m² of tiles costs 258 Kc? - 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? - Trapezoidal 6110
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. - Rhombus 29
One of the diagonals of a rhombus is equal to a side of the rhombus. Find the angles of the rhombus. - 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 Marek collected, he would make it in 30 minutes. It would take Milan 10 minutes longer. How long after Mark does Milan have to start collecting to be finished in 18 minutes? - Challenging 6103
Jonas and Vojta went on a three-day hike on Friday. On the first day, they covered a fifth of the total route, on Saturday three-quarters of the challenging route, and had 20 km left for Sunday. What percentage of the total route did the boys cover in the - Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm.
- Numbers 6101
Fifty percent of the number x equals sixty percent of the number y. What is the ratio of the numbers x and y? - Sixty
Sixty percent of one-fifteen of the total is equal to thirty. What are two percent of the total? - Lecturers 6099
Three lecturers will create 75 tasks in two and a half days. In how many days will it take at least five lecturers to create enough exercises for the exercise book, which should contain 300 exercises? (we assume that all tutors are equally efficient and w - Quarters 6097
How many times are the three halves larger than eighty percent of the three quarters? - Painters
Six of the painters paint 90 m of the fence in five hours. For how long would the four painters paint a 45-meter fence? How many meters of the fence were painted by painters 5 for two hours?
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