Math practice for 13 year olds - page 216 of 422

Number of problems found: 8427

Mathematics 16883
From the quarterly work in mathematics in the eighth grades, 1/3 of all pupils got a one, 2/7 of all pupils got a two, 5/8 of the rest got a three, 8 pupils got a four, and 4 got a five. How many students wrote a paper? How many got a one, a two, and how
Contributed 16873
Fero and Robert bet €8 on the result of a football match. Fero contributed €3.60 and Robert the rest. To their surprise, they won €60. How should they divide the collected money fairly?
Water mixing
We mix 2 liters of water at 100 degrees Celsius warm and 18 liters of water at 32 degrees Celsius warm. What temperature will the water have after mixing?
Three-digit 16763
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens?
Shareholders and profit
The company distributed the profit among the shareholders in the ratio of 2:3:4:7. What was the total profit in the company if the last shareholder received € 1,400?
Cleared 16683
The scouts decided to clean up the stream outside the town. On the first day, they cleared half of the total length of the stream. On the second day, 2/7 of the entire length. On the third day, they cleared a third of what was left, and on the fourth day,
Three-sevenths 16643
Mom baked pancakes and put them on a plate. After Mišo had eaten three-sevenths of them, his brother Peťo came and took three-quarters of the pancakes from the plate. In the end, Jana finished the remaining 7 pancakes. How many pancakes did mom bake?
Temperature 16633
What heat do we need to supply a copper body weighing 8 kg to raise its temperature by 136 degrees Celsius?
Quadrilateral 16603
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm.
Kindergarten 16593
The kindergarten purchased 40 chocolates of two types. Dairy is sold after 16 CZK per piece, and hazelnut after 11 CZK per piece. They paid a total of CZK 565. How many chocolates were there?
Dimensions 16573
They drained the water from the full tank through three holes. 1/6 of the tank volume flowed through the first hole, 2/5 of the volume through the second hole, and 1/4 of the volume through the third hole. The tank has the shape of a cuboid with dimension
Runners
If John has a running speed of 3.5 miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible)
Calculate 16523
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm².
8-meter-long 16503
The 8-meter-long ladder is attached to the wall at an angle of 22 °. How high does it reach?
Strawberries 16473
On the farm, twelve part-timers planned to harvest a crop of strawberries in 5 days. On the fifth day in the weather forecast, they reported rain. How many part-timers will they need to harvest the strawberries in four days?
Four-digit 16463
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9?
Percentage 16423
The pizza has the shape of a circle and is divided into eight equal parts. My mother ate three parts. What percentage of pizza is left?
Two-digit 16413
The sum of the digits of a two-digit number is 8. If we change the order of the digits, the result is 36 smaller. Find this number.
Circulation: 16383
Calculate the speed of money circulation, if you know: the amount of money in circulation: 95 million. €, nominal GDP is 1460 million. €.
Block-shaped 16361
The block-shaped tank with bottom dimensions of 2.5 m and 2 m is empty. The inflow flows into the tank with 10 l of water per second. How high will the water be in the tank if it flows in for 3 minutes and 20 seconds?

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