Math practice for 13 year olds - page 167 of 413
Number of problems found: 8260
- Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - THE FARM
A farm has hens, goats, and 3 cows. All animals together have 19 heads and 56 legs. How many goats and how many hens are on the farm? - Pool plan marking
The pool is 50 m long and 20 m wide. How will it be marked on the plan on a scale of 1:200? - Pedestrian cyclist meeting
From two places, A and B, 27 km apart, a pedestrian will simultaneously walk at a speed of 6 km/h from place A and a cyclist at a rate of 24 km/h from place B. At what distance from place A will they compete? - Plate dimension
The dimensions of the rectangular plate on the plan were 8 and 6 cm. The actual plexiglass plate was 7:2 to the plan. What were the exact dimensions of the plate? - Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Car acceleration runway
The car reaches a steady acceleration in 24 seconds from a standstill speed of 100 km/h. What runways will he reach on departure? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm? - The inheritance
Dad initially decided to bequeath the money to his two sons so that they would share it 8:7 (older and younger). Then, he changed his mind and divided the same amount into a ratio of 11:9 (older and younger). This step increased the inheritance value for - Side and diagonal
Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm. - The painter
The painter lived to be 82 years old. In the 20th century, he lived 32 years longer than in the 19th century. In what year was he born? - Current measurement
With a measuring range of 30 mA, the hand points to 20 divisions out of 100 divisions of the scale. What current is measured? - Scale of voltmeter Which scale division (scale has 100 divisions) must the voltmeter hand point at a measuring range of 300 V if we want to measure a voltage of 100 V?
- Second hand store
The price of goods in the store for used goods is determined by agreement, while the sale price is deducted 15% commission - for the store owner. Mathias's parents decided to sell the TV to make their net profit at least 50 euros. What was the minimum sel - Heads and legs
There are chickens and rabbits in the yard. Together, they have 108 legs and 33 heads. How many chickens are there? How many rabbits are there? - Absolute difference
Calculate three times the absolute difference value between the numbers 3/5 and -1/3. - Triangle area
A triangle with a perimeter of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle. - Equation solving exercise
Solve two equations: 7 * (x + 1) - (3x + 1) = 21/2 a / 3-a + 6/12 = 2a-4 - Snow pressure
What pressure will the falling snow exert on the roof of the house? The weight of snow on the entire roof is 150 kg. The area of the lookout, covered with snow, is 10 m². - Don't forget the notation; the formula then substitutes the result. - Fence worker
Four workers were supposed to build 200 m of the fence in 15 days. However, after 3 days, two more workers came to their aid. All workers were equally efficient. Calculate how many meters of the fence (from the original 200 m) remained after the first 3 d
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