Maths practice for 14 year olds - page 260 of 375
Number of problems found: 7493
- Fuel Cost per Kilometer
Our Octavia consumes 9 liters of gasoline per 100 kilometers. A liter of gasoline costs the euro. What expression expresses the price of petrol needed for 1 kilometer? - Tulips and daffodils
Two hundred twenty tulips and daffodils are planted in the flowerbed. One-third of all tulips and one-sixth of all daffodils equals the number of all tulips. How many tulips and how many daffodils? - Pocket money
Honza receives pocket money and wants to buy something good with it. If he purchased four cakes, he would have CZK 5 left. If he wanted to buy five cakes, he would be 6 CZK short. If he had bought two pies and three doughnuts, he would have spent all his - Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation. - Number line arrangement
Consider the various points corresponding to the numbers a, 2a, 3a + 1 in all possible orders on the straight line representing the number line. For each option, decide whether such an arrangement is possible. If yes, give a specific example; if not, give - Dice probability
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - Triangle line
The picture shows an isosceles triangle VLK with a center of gravity of T. The base VL measures 16 cm, and the line KK1 measures 18 cm. How long is the VV1 line? - Tournament
Six teams entered the basketball tournament. How many matches will be played if each team has to play one match with the other? - Triangle center
The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle? - Mowing Lawn with Mowers
The football club owns five identical mowers. If they used two of them, they would mow the playground lawn in 10 hours. How long would it take to mow the lawn if they used all five mowers? - Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made? - Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long? - Beam diameter
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Heating Water with Coils
The smaller spiral heats the water in 30 hours, and the larger in 20 hours. How long will it take to heat the water if we turn on both coils simultaneously and the smaller coil breaks down after 8 hours of heating? - Girls in Chess Group
The chess group consists of eight boys, representing 40% of all group members. How many girls go to the chess ring? - Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix? - Trapezoid Height from Area
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diamond diagonal
The pool has a diamond shape with a side 20m long. One diagonal is 32 meters. What is the second diagonal? - Block weight
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length? - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals.
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