Math practice for 13 year olds - page 274 of 413
Number of problems found: 8260
- Cycling Speed Comparison
Jerry cycled a 100-meter distance at a speed of 30 km/h. What speed would she have to go to get it in a time equal to the world record in the 100 m sprint (WR t = 9.58 s)? - Square
Square JKLM has sides of a length of 24 cm. Point S is the center of LM. Calculate the area of the quadrant JKSM in cm². - Overload
What overload in g (g-force) would have passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds? - The farmer
The farmer had 140 sheep. For the next year, she decided to change the number of sheep in a ratio of 10:7. How many sheep would he have then? - Column covering
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter? - Parallelogram Side Heights
The parallelogram is given by: a, b is adjacent sides, va, vb - the respective heights to the individual sides. Calculate its side a, if b = 6 cm, va = 3 cm, vb = 4 cm - The female teacher
The female teacher wrote two numbers on the blackboard under each other and called on Adam to add them. Adam correctly added them and wrote the result 39 below the given numbers. The teacher erased the topmost number, and thus the remaining two numbers fo - Dividing Rectangular Plot
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - Cylinder water
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder? - Cylinder Bottom Diameter
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - House Insulation Cost
The Drapers inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will they pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist - Water mixing
How many liters of hot water at 80 °C do we have to mix with water at 10 °C to get 10 liters of warm water at 45 °C? - Canapés on plates
On the table there were 18 plates. On each plate there was the same number of canapés. Tomáš with his friends took away a third of all the plates with canapés. Lenka for her friends took from each of the remaining plates 3 canapés. On the table there thus - Drug Use in School
According to research, one-quarter of pupils will encounter drugs at the end of primary school. Of this number, 40% of pupils try the drug. How many students attend Year 9 if 12 have signed up to use drugs? - Tank Weight Pressure Ground
The tank's weight is 36 t, and the total contact area of the belts with the ground is 4 square meters. What pressure does the tank cause on a horizontal surface? - Sidewalk
Workers will pave a 1-meter-wide sidewalk in the garden with tiles around the block-shaped pool. In the picture, the sidewalk is shown in gray. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. - Thomas
Thomas lives 400 meters away from Sam, Rob from Thomas also 400 m, and Sam from Rob 500. Anthony lives 300 meters away from Rob, further than Sam. How far away lives Anthony from Rob? - Find radius
Find the radius of the circle using the Pythagorean theorem where a=9, b=r, c= 6+r - Glass Paperweight Weight
The glass paperweight has the face of a sphere with a radius of 4 cm. Estimate and then calculate its weight. The density of glass is approximately 3800 kg/m³. - Cube Edge from Surface
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7 cm, 8 cm, 6 cm
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