Math practice for 13 year olds - page 279 of 424
Number of problems found: 8480
- Construction 6411
Draw an isosceles trapezoid ABDC if a = 6cm, v = 5cm, beta = 60 degrees. / sketch, procedure, construction / - Ratio of sides 2
The ratio of the side lengths of one square to another is 1:2. Find the ratio of the area of the two squares. - Identical 6406
The area of 90000 m² is divided into 36 identical squares. Find the length of the side of one square (in meters). - Situation 6405
Three lines depart from the bus station at 6-minute, 8-minute, and 12-minute intervals during the morning rush hour. Once in a while, they come out at the same time. How many times between 5:30 and 8:30 does this situation occur if they first go out toget - 100-meter 6403
Jarka 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 100m sprint (WR t = 9.58 s)? - 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
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