Maths practice for 12-year-olds - page 266 of 347
Number of problems found: 6923
- Tank capacity
How many hectoliters of water can fit in a block-shaped tank with dimensions 24 m, 15 m, and 2 m deep? How many hectoliters of water must be drained so that the depth in the tank is only 15 dm? If the tank is full, how much water must be drained so that t - Cast iron cube
What is the mass of a cube of cast iron with an edge length of 2.3 dm if we know that the mass of 1 dm³ of cast iron is 7.3 kg? Will the same size cube of cork be heavier if we know that the weight of 1 m³ of cork is 250 kg? - Aquarium area
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - Brick wall
A garden 70 m long and 48 m wide should surround by a wall 2.1 meters high and 30 cm thick. The bricklayer will build a wall on the garden ground. How many will we need if 300 bricks are required for approximately one m³? - Distances
A boy is rowing a boat at a speed of 7.2 km/h. He directed the boat perpendicularly toward the opposite bank, which is 600 m away. The river carries the boat at a speed of 4.0 km/h. What is the resulting speed of the boat relative to the bank? How far wil - Box height
How high must the box, the bottom of which is a rectangle with sides of 40 cm, 625 mm, have a volume of 1 hl? - Food supplies
Ten friends decided to go hiking. They bought food supplies for 9 days. Before starting hiking, 4 boys fell ill. How many days will the food supply last for the remaining boys? - Trees
A young tree is 16 inches tall. One year later, it is 20 inches tall. What is the percent increase in height? - Wood lumber
Wooden lumber is 4 m long and has a cross-section square with a side of 15 cm. Calculate: a) the volume of lumber b) the weight of the lumber if 1 m³ weighs 790 kg - Map dimensions
The course is 80m long and 35m wide. What will be its dimensions on a 1:500 map? - Age puzzle
The father is 48 years old, and the son is 21. How many years ago was the father ten times as old than the son? - Loan interest
The entrepreneur took out a business loan of 15,000 at an interest rate of 7.5% p. to start a business. a. The state subsidy for start-up entrepreneurs is 800 euros per year for three years and must be used to repay the loan. How much interest will the en - Vehicle tank
A vehicle tank was 3/5 full of petrol. When 21 liters of fuel was added, it was 5/6 full. How many liters of petrol can the tank hold? - Ditch excavation
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Hamster cage
Ryan keeps his hamster cage on his dresser. The area of the top of Ryan's dresser is 1 2/3 as large as the area of the bottom of his hamster cage. The area of the dresser top is 960 square inches. How many square inches of his dresser top are not covered - Rectangle perimeter
The width of the rectangle is 65% of the length. Calculate the lengths of the sides of a rectangle if its perimeter is 132 dm. - Bicycle wheel
After driving 157 m, the bicycle wheel rotates 100 times. What is the radius of the wheel in cm? - Catching up
Peter and Charles live at the same address. Peter will drive to the stadium in 30 minutes and Charles in 40 minutes. If Charles leaves 5 minutes earlier, where will Peter catch up with him? - Class arrangements
There are 4 classrooms on the ground floor of the school building, which are numbered 1,2,3,4. First-year students A, B, C, and D will be placed in these classrooms. Write all possible class arrangements and their number. - Orchard trees
Calculate how many trees are in an orchard if you know that 5/12 orchards consist of apple trees, 1/6 plums, and 1/60 walnuts. The remaining 30 trees are pear trees.
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