Maths practice for 14 year olds - page 39 of 367
Number of problems found: 7336
- A year ago
A year ago, Jano was twice as old as Helen. In five years, Helen will be twice as old as Jano. How old is Helen now? - Shear friction
How much force must be applied to a box weighing 300 kg to move it at a constant speed along a horizontal floor, if the coefficient of sliding friction between the box and the floor is 0.5? - Ratio 52
The ratio of the surface area of a cube to its volume is 2:1. Calculate: a) the edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm². - Four-digit number
George is thinking of a four-digit number and gives us the following clues: a) Its digit sum equals one hundredth of the number obtained by rounding the mystery number to the nearest hundred. b) Its last digit is 1 more than the second-to-last digit. c) T - Princesses
Princesses Anna and Elsa are picking strawberries, which have ripened in huge quantities after a long winter. Anna can pick one bed in 120 minutes, and Elsa is faster and can finish an equally large bed in 15 minutes. How many minutes would it take the ro - Finding Original Price
A pair of trousers costs €9.90, which is 90% of the original price. How much did the trousers cost originally? - Heating 2
The heating element of a stove has an electrical resistance of 80 ohms and is connected to a voltage of 230 V. Calculate the electrical energy consumed in a year (365 days) if it is switched on for 2 hours a day. How much will the energy consumed cost if - 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% - Given is
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
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