Math practice for 13 year olds - page 277 of 432
Number of problems found: 8621
- Solutions, mixtures
How many liters of 70% solution must we add to 5 liters of 30% solution to give us a 60% solution? - 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? - Workers
Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send? - Our house
Four painters would paint our house in 14 days. How long would it take to paint five painters? How long would it take for two other painters to help after five days? - 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? - Company 6387
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 6385
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 = 6cm, va = 3cm, vb = 4cm - Circumference 6382
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 - Accommodated 6380
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Cylinder 6379
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? - Temperature 6378
How many liters of 48 °C warm water do we need to add to 1.2 hl of 8 °C warm water to form a mixture with a temperature of 24 °C? - Children 6377
There are 29 children in the class. The number of children enrolled in front of Ema is six less than behind her. How old is Ema? - Determine 6376
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - Grandmother 6375 The Drábekovs 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 he pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist
- Temperature 6373 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?
- One-quarter 6369
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? - Horizontal 6365
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 Samko, Robo from Thomas also 400 m, and Samko from Robo 500. Anton lives 300 meters away from Robo, further than Samko. How far away lives Anton from Rob?
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