Math practice for 13 year olds - page 218 of 413

Number of problems found: 8260

Individual gadens
The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m².
Maid bed making
Six maids make 200 beds in 2 hours. One maid makes 50 beds alone. Then, they all continue together. How long will it take them to make the rest of the beds together?
Flower pot purchase
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there?
Triangle aspect ratio
In a triangle, the aspect ratio is a: b = 2:1, and the aspect ratio is b: c = 3:4. Determine the aspect ratio a: b: c.
A-shaped ladder
An unfolded double ladder (A-shaped rung) is 10 m long. How high will it reach if the painter extends both parts of the ladder and ensures that the two parts of the ladder are 12 m apart on the ground?
Salary increase calculation
Salaries increased by 4:3. How much did wages increase?
Shirt price calculation
The street vendor offered 60 shirts of two types at a total price of CZK 27,300. Cheaper shirts cost 420 CZK, more expensive 480 CZK. How many were there?
Mixture of nuts
Alice bought a mixture of nuts containing cashew nuts, hazelnuts, and peanuts in a ratio of 1:2:3. If the peanuts weigh 90 g, calculate the weight in grams of the whole mixture.
Ski slope decrease
A ski slope drops 220 m in altitude over a horizontal distance of 800 m. Determine the percentage gradient.
Banknote distribution calculation
The eldest sister saved CZK 7,800 in the bank. She brought this amount only in 100CZK and 200CZK banknotes. The total number of these banknotes was 50. How many banknotes of both values were there?
Negative and postcard
The image on the negative has dimensions of 36x24 mm and is enlarged to a postcard format of 13.5x9 cm. In what proportion have the lengths increased? In what proportion has the image area increased?
Cloth package calculation
The cloth package was stained black: one-third and one-quarter black, the remaining 8 meters gray. How many meters of cloth was in the box?
Oval track length
Calculate the length of the oval race track, which has two straights of 100 m, and the diameter of the curves is 52 m.
Apron discount calculation
Grandma bought a new apron before Christmas. After Christmas, the store discounted the apron by 46%, so Grandma bought two more of the same apron. In total, she paid 540 crowns for all 3 pieces. How many crowns did the apron cost before Christmas, and how
Classmate catching calculation
Classmates Tibor and Martin live in the same house. It takes Tibor 20 minutes to get to school, and Martin only 15 minutes. If Martin leaves the house 3 minutes later than Tibor, in how many minutes does he catch up with him?
Even number creation
How many are all even two-digit numbers that We can create from the digits 2, 4, and 7? The numerals can be repeated in the created number.
Aircraft altitude calculation
The aircraft flying just above point A can be seen from observation B, 2,400 meters away from point A, at an altitude of 52°30'. How high does the plane fly?
Perpendicular line
According to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. They already deviated from the correct direction by 5° at the start. How far from the ta
Milk roll price
Mrs. Cermak paid 130 CZK for five boxes of semi-skimmed milk and ten rolls. A box of milk is 17 more expensive than a croissant. Calculate the price of a) 1 box of milk, b) 1 roll.
Bonus payment distribution
Four people were paid bonuses, so each subsequent person received half as much as the previous one. How much did everyone receive if the company paid out a total of CZK 6,500?

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