Math practice for 13 year olds - page 347 of 414
Number of problems found: 8279
- Boy weights
Three friends weighed themselves so that two always stood on the scale, and the third wrote down the measured weight. After all the measurements, the numbers written on the paper were 60 kg, 64 kg, and 66 kg. Determine the mass of each boy. - Rectangular garden
What is the area in m² of a rectangular garden that is 21 steps long and 41 steps wide, given that one step is on average 3/4 m? - Geese and hares
There are three times as many geese as hares on the farm. They have a total of 60 feet. How many geese are on the farm? - Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4 cm, and the body height is 6 cm. - Candelas
We burned two unequally thick and long candles. Longer burnt for three and a half hours and shorter for five hours. After two hours of burning, it was identical. How many times was a longer candle longer light than a shorter candle? - Tractors
Six tractors plowed the field for eight days. After two days, two tractors broke down. How many days were prolonged work in the field? - Water inlets
An Inlet valve with a flow rate of 12 liters per second is filled tank for 72 minutes. How long does it take to fill the full tank if we open one more such valve half an hour after? - Siblings probability
The table contains information on the number of pupils according to the number of siblings: Number of siblings 0 1 2 3 and more Number of pupils 50 50 72 28 What is the probability that a randomly selected student has exactly two siblings? - Wire weight
The customer wants to buy 300 meters of wire with d = 4 mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or - Concreted
The tank of a biological treatment plant has the shape of a cylinder with a base diameter of 2.5m. It is usually filled to four-fifths of its volume. What is the volume of the treatment plant if its height is 2.8m? The treatment plant container is placed - Wallet
She spent a fifth on the first purchase from the money in her wallet. From the remaining money, she could buy 2 kg of strawberries. But she purchased only 1.5 kg for 60 Kc. How much money was Marie originally in her wallet? - Trapezium
The length of the base and the height size of the trapezium base are at a ratio of 5:3:2. The trapezium area is 128 cm². Calculate the length of the base and the height of the trapezoid. - Land area
The land area of Asia and Africa are in a 3:2 ratio, and the European and African are 1:3. What are the proportions of Asia, Africa, and Europe? - Planet diameters
The diameter of the Earth and the diameter of Mars are approximately 15:8, and the diameter of Mars and the diameter of the Moon are 2:1. What is the ratio of the diameters of the Earth, Mars, and the Moon? - Mixing
If we mix 5 kg of goods of one kind and 3 kg of the second one, the resulting mixture costs 16.50 EUR/kg. If these quantities are mixed in reverse - the first three kilograms and 5 kilograms of the second cost of the mixture is 18.50 EUR/kg. What is the p - Bank interest
The entrepreneur invested euros in the bank at the beginning of 2000 for a period of 9 months with an annual interest rate of 12%. How many euros will the bank credit him with the deposit after nine months? - Train speed
The express train set off from city A to city B at an average speed of 100 km/h. At the same time, a passenger train departed from city B to city A. The trains met after 90 minutes. Calculate the average speed of a passenger train if the distance between - Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism. - Vehicle meeting
The distance between P and T is 89 km. At 8:00 AM, a lorry set off from T at a speed of 28 km/h, and at 8:45 AM, a passenger car set off against it from P at 52 km/h. When and at what distance will they compete?
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