Math practice for 13 year olds - page 290 of 413
Number of problems found: 8253
- Train delay
The train should be at the station for 10 minutes. It still has 32 km left. What is the expected delay if the train travels in 2 minutes 3 km except for the last section, 2 km in 5 minutes? - Spending percentage
Peter earned a quarter more than Lucas. Lucas spent 20% of his earned money on dinner. Peter spent the same amount. How much percent did Peter spend? - Unknown number
If I reduced the sum of 70 and the unknown number three times, I would get 100. What is the unknown number? - Fuel Cost per Kilometer
Our Octavia consumes 9 liters of gasoline per 100 kilometers. A liter of gasoline costs one euro. Write an expression for the cost of fuel needed to drive 1 kilometer. - Trapezoid construction
Construct an isosceles trapezoid, whose base is 6 cm long, the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long. - 3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities. - 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? - 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. - Third pump
The first pump fills the pool in 12 hours. The second pump fills it in 15 hours. If all three pumps work, the pool will fill in 4 hours. How long will it take to fill the pool with only the third pump? - Czech flag
Calculate the areas of the colored parts on Czech flag in the shape of a rectangle with dimensions of 2 m and 1 m. White and red form half the width, the blue triangle is isosceles, and its apex is half the length. - 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? - 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? - Game Points Win Loss
Philip and Dustin agreed that they would score 20 points for winning five in a row and -10 points for losing. Dustin lost eight times out of 10 games and won twice. How many more points does Philip have? - Motorcycle speed
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s. - 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?
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