Math practice for 13 year olds - page 222 of 424

Number of problems found: 8478

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.
Calculate 16513
The conical funnel has a volume of 0.5 liters and a height of 7 cm. Calculate the radius of its upper edge.
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?
Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma
Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°.
Measuring 16183
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg?
Reward
Janko and Peter divided the reward from the brigade so that Peter got 5/8 of the reward. What percentage of Janko's reward got?
Steps
Find the height between the two floors if you know that the number of steps between the two floors is 18, the gradient is 30º, and the step length is 28.6 cm. Report the result in centimeters to the nearest centimeter.
Wines
Eleven liters of white wine and eight liters of red wine cost a total of 1315 CZK. 1 liter of white wine was 10 CZK cheaper than a liter of red wine. How much is 1 liter of white and how much red wine?
Profitable company
Three businessmen decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000, and R25 000, respectively. The profit made by the company in the first
Alcohol mixing
How much must 64% of the alcohol be poured into 6 liters of 85% alcohol to produce 79% alcohol?
Hectoliters 16023
100hl of water flows out of the tank through three pipes in 8 hours. How many hectoliters of water flow through four pipes in 10 hours?

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