Maths practice for 14 year olds - page 179 of 361
Number of problems found: 7217
- Road embankment volume
The road embankment has a cross-section of an isosceles trapezoid with bases 16 m and 10 m long and with arms 5 m long. How many cubic meters of soil is in the 400 meters long dam? - 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? - Roof metal consumption
The roof is a regular hexagonal pyramid shell with a wall height of v = 5 m and a base edge of a = 4 m. Calculate the consumption of sheet metal to cover the roof, assuming 15% losses. - Fabric price calculation
The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance? - 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? - Tourist cottage
The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms? - Powder box distribution
The store stacked two hundred boxes of washing powder in three piles. There were 13 more boxes in the first pile than in the second pile, one-fifth more in the second pile than in the third pile. How many boxes were in which pile? - 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. - Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden? - 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?
- What percentage
Petra made lemonade from one litre of 100% fruit juice and three litres of water. When she tasted it, she found it was too sweet and would not suit everyone. She kept two litres for her friends and added two more litres of water to the remaining two litre - 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
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