Math practice for 13 year olds - page 297 of 423
Number of problems found: 8458
- 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? - Something 5588
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. - Second 5586
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 2m and 1m. White and red form half the width, the blue triangle is isosceles, and its apex is half the length. - Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - Isosceles 5575
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? - Playground 5570
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? - Cross-section 5567
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Simultaneously 5564
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? - Winning 5563
Filip and Dušan agreed that they would score 20 points for winning five in a row and -10 points for losing. Dušan lost eight times out of 10 games and won twice. How many more points does Filip have? - Representing 5562
The chess group consists of eight boys, representing 40% of all group members. How many girls go to the chess ring? - Motorcycle 5561
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 5559
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height? - Diagonal 5555
The pool has a diamond shape with a side 20m long. One diagonal is 32 meters. What is the second diagonal? - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Gymnasium - classes
Half of the 9th-grade students want to study at secondary technical schools, a quarter at vocational schools, a sixth at gymnasiums, and 3 students do not wish to continue their studies. How many pupils are there in the class?
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