Maths practice for 14 year olds - page 39 of 361
Number of problems found: 7217
- Tank - fuel prices
I have a car with a 50-litre tank. I want to calculate the weighted average price of a full tank of fuel at the end of the year. In December, 30 litres were filled at 37.50 CZK per litre, and in November, 40 litres at 38.40 CZK per litre. What is the weig - Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 cm. She wants to have a square tablecloth made for it so that each corner extends 25 cm beyond the edge of the table. What dimensions should the tablecloth have? - Air 2
The air distance between New York and Los Angeles is 3,962 km. How many km does 1 cm on a map represent if the map scale is 1:1,000,000? - Left-handed
There are 100 people in a room, 99% of whom are left-handed. How many left-handed people must leave the room to reduce this proportion to 98%? - Trapezoid 83
Trapezoid ABCD is composed of five triangles. Points E and G divide segment AB in the ratio 2:4:3 (in this order) into three segments. Point F is the midpoint of segment AD. Triangle AEF is isosceles and right-angled. Triangles GBC and CDG are right-angle - Spiral - iron
An electric iron is connected to a 230 V power source. Its heating element has an electrical resistance of 100 ohms. Calculate the power of the iron and the electric current flowing through the element. - Tank 28
A tank fills in 120 hours. When drained for irrigation, it empties in 10 days. How long will it take to fill if filling and draining occur simultaneously? - In trapezoid 3
In trapezoid ABCD, the following elements are given: lengths of the parallel sides a = 20 cm and c = 11 cm, angle α = 63°36', and angle β = 79°36'. Calculate the lengths of the other two sides and the sizes of the remaining angles. - Consolidation expensiveness
Calculate how much the same shopping of 100 EUR will cost in 2025, if in 2024 VAT is 20% and in 2025 it will be as much as 23%. Assume that all goods in the shopping are charged with the same, basic VAT rate. PS. VAT was temporarily raised from 19% to 20% - Circle - equation
The circle is given by the equation x² + y² − 4x + 2y − 11 = 0. Calculate the area of the regular hexagon inscribed in this circle. - Expanding
A problem has spread here — money printing. The ECB claims it aims to maintain a price level with 2% inflation. However, for the last three years in a row, annual inflation has been 6%, 7%, and 9%. - Missile 3
A missile penetrated an embankment to a depth of 1.2 m. What was its speed when it hit the surface of the embankment, if the missile's movement through the ground lasted 0.021 seconds and the motion was uniformly decelerated? - Employees in a company
A company with 326 employees decided to build a parking lot for employees. In the parking lot design there are 84 parking spaces for cars. Each parking space for cars can be replaced with 3 parking spaces for motorcycles. Calculate the total number of veh - Determine 23
Determine in cm² the area of rectangle ABCD, whose longer side is a = 20 cm and whose diagonal is 10 cm longer than its shorter side. - Wall and ladder
A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - Angles alpha 2
Angles alpha and beta are supplementary. Calculate their sizes if angle alpha is 50 degrees less than angle beta. - Production
A company's production in February was 15% greater than in January and 25% less than in March. By what percentage was production in March higher than in January? - Isosceles gable
The gable of a cottage roof is in the shape of an isosceles triangle with a base of 8 m and legs of 10 m. How high is the gable? - Diagonal 2
What is the area in square metres of a rectangular garden whose diagonal is 50 m long and whose width is 27 m? Round the result to the nearest whole number. - Acceleration of a car
What was the initial speed of a car that, after accelerating at 2 m/s², reached a speed of 30 m/s in 10 seconds?
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