Math practice for 13 year olds - page 298 of 428
Number of problems found: 8548
- Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Beam diameter
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Heating Water with Coils
The smaller spiral heats the water in 30 hours, and the larger in 20 hours. How long will it take to heat the water if we turn on both coils simultaneously and the smaller coil breaks down after 8 hours of heating? - Game Points Win Loss
Filip and Dušan agreed that they would score 20 points for winning five in a row and -10 points for losing. Dušan lost eight times out of 10 games and won twice. How many more points does Filip have? - Girls in Chess Group
The chess group consists of eight boys, representing 40% of all group members. How many girls go to the chess ring? - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix? - Trapezoid Height from Area
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diamond diagonal
The pool has a diamond shape with a side 20m long. One diagonal is 32 meters. What is the second diagonal? - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Gymnasium - classes
Half of the 9th-grade students want to study at secondary technical schools, a quarter at vocational schools, a sixth at gymnasiums, and 3 students do not wish to continue their studies. How many pupils are there in the class? - Daughter and father
"My daughter will be x years old in x²," said Elise's father in 1991 at her birthday party. a) When will the said event occur, and how old will Elise be at that time? b) In what year was Elise born? c) How old was Elise in 1991? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Mowing time
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2. - Tax price
The product, burdened with 20% taxes, was sold for 600 CZK. How much would you sell for 10% of taxes? - Cube measurements Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- Crates of apples
Miro tore three and a half crates of apples in two and a quarter hours. How many crates will it tear in one hour? How long will he have to tear to meet the daily standard of 10 crates? - Crumbs Brought by Ants
In the evening, four ants counted the crumbs they had brought. The first ant had 1.5 times more than the second, the second ant twice less than the fourth and the third ant twice more than the second. They had 26 crumbs in total. How many crumbs did the t - Girl weights
Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156kg. How many kilograms does each girl have? - Divisible number
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove
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