Maths practice for 14 year olds - page 36 of 379
Number of problems found: 7575
- Parking 84175
There are 96 cars in the parking lot. There are 24 fewer dark cars than light cars. How many light cars are there in the parking lot?
- A year ago
A year ago, Jano was twice as old as Lenka. In five years, Jano will be half as old as Lenka. How old is Lenka?
- Shear friction
How much force must we apply to a box weighing 300 kg to move it uniformly along a horizontal floor if the coefficient of shear friction between the box's edge 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 length of the edge of the cube in cm b) the volume of the cube in cm³ c) the volume of the cube in cm2
- Four-digit number
Juraj is thinking of a four-digit number that he told us about: (a) Its digit sum is one hundredth of the number that I get by rounding the imaginary number to hundreds. (b) Its last digit is 1 more than the second-to-last. (c) The sum of its last two dig
- 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
- Originally 84156
The pants cost 9.90 euros, which is 90% of the original price. How much did the pants cost originally?
- Heating 2
The heating coil of the stove has an electrical resistance of 80 ohms and is connected to an electrical voltage of 230V. Calculate the electrical energy consumed in a year (365 days) if it is switched on for 2 hours a day. How much will we pay for the ene
- Tank - fuel prices
I have a car with a 50l tank. My task is to find out the price of a full tank of fuel by weighted average at the end of the year. In December, 30l of fuel was filled - 37.50 CZK, and in November 40l - 38.40 CZK. What is the price per 1 liter and the value
- Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 centimeters. She wants to have a square tablecloth sewn on it so that its corners extend beyond the edges of the table by 25 centimeters. What dimensions should the tablecloth have?
- Air 2
The air distance between New York and Los Angeles is 3962 km. How many km is 1 cm on a map if the map scale is 1:1000000?
- 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-angl
- Spiral - iron
An electric iron is connected to a 230 V voltage source. Its heating coil has an electrical resistance of 100 ohms. Calculate the power of the iron and the electric current flowing through the coil.
- Tank 28
The tank fills in 120 hours. When irrigated, it empties in 10 days. At what time will it fill with simultaneous irrigation?
- In trapezoid 3
In a trapezoid ABCD, the elements are given - lengths of bases a= 20cm, c= 11 cm, angle α = 63°36’ and angle β=79°36’. Calculate the lengths of the other sides and the sizes of the angles.
- Given is
Given is the circle x²+y²-4x+2y-11=0. Calculate the area of the regular hexagon inscribed in the given circle.
- Expanding
A problem has spread here - money printing. The ECB claims it aims to maintain a price level with 2% inflation. But for the last three years in a row, annual inflation has been 6%, 7% and 9%.
- Missile 3
The missile penetrated the embankment to a depth of 1.2 m. What was its speed when it hit the surface of the embankment if the movement of the missile in the ground lasted 0.021 seconds and if the movement was uniformly slowed down?
- Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side.
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