Maths practice for 12-year-olds - page 237 of 347

Number of problems found: 6923

Three pumps
The water tank is emptied with the first pump in 6 hours and with the second pump in 2 hours. All three pumps had to be started at once to be emptied in 1 hour. How long will it take to empty the tank with only the third pump?
Truck Sand Weight Volume
The truck's body, with dimensions of 3m, 1.5m, and 0.75m, is full of Sand. If one m³ of Sand weighs 1500kg, what is its weight?
Ratio of Two Numbers
The ratio of the two natural numbers is 2:3. The smaller number in this pair is 12. Calculate the larger A number from this pair.
Buy Six Pay Four
If we take six pieces, we will pay only for four. One piece cost 7, and my mother bought 31 pieces. How much did she pay for the purchase?
Three 43
Three brothers inherited a cash amount of 62,000 and divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?
Cyclist meeting
Martha will leave Včelná on a bicycle at 12 km/h. From Holešovice, which is 32 km from the village of Včelná, at the same moment, Eve will drive towards it at a speed of 18 km/h. How long and where will they meet?
Surface area 6
Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch
Pizza Plate Minimum Diameter
A pizza in the shape of a circle occupies an area of 94.985 square cm. What is the smallest integer diameter in centimeters that the plate on which we want to place this pizza must have so that the plates do not overlap
Sick student count
Write down how many students were sick. If there were three students in the class, last week's students had sore throats and flu.
Number Operation Puzzle Result
I think of a number, add it to itself, subtract 6, then divide by 2, add 7 and multiply by 8. The largest two-digit number that contains only even digits came out. How much is the result greater than the imaginary number?
Map Scale Actual Distance
On a map with a scale of 1:25 000, the distance between cities is 11 cm. What is the actual distance between cities?
Cube Edge Volume Change
How does the volume of a cube change if we double the length of its edge?
Cuboid Height from Surface
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network.
Fence posts
Mr. John's plot of land has dimensions of 252 dm and 28 m. How far apart must he place the fence posts so they are the same distance on both sides? How many will he need to fence the entire property?
Equation solving
Solve the equation: 2y = 4 (0.5 + 3/2) -1
Water flow 2
How many liters of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter if the water flows at a speed of 30 km per hour?
Casino debt division
Three Americans went to the casino. They put 10,000 CZK into the game. The resulting sum on the game report was CZK 160,000 less. They decided to divide the amount owed equally. Do the math and find out how much everyone owes.
Pool Volume from Plan
On a project with a scale of 1:250, the length of the pool is 2.00mm, and the width is 1.00mm. The depth of the pool is 1.5 m. Calculate how many hectoliters of water will fit in the pool.
Pool Volume Liters
The swimming pool in the Veselý yard is square-shaped with dimensions of 2.5m by 3.4m and is 1.7 meters deep. How many liters are in the pool if it is filled to three-quarters of its total volume? Please round the result to tenths.
Juice Box Dimension
The juice box with a volume of 1 l has two dimensions, 6 cm and 165 mm. Calculate the third dimension of the box.

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