Maths practice for 14 year olds - page 282 of 309
Number of problems found: 6173
- Plan scale
At what scale is the drawn plan of the building, where one side is 45 meters long, and the plan is expressed by a straight line 12 mm long?
- Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team?
- The camp
At the end of the camp, a 8 friends exchanged addresses. Any friend gave their remaining 7 friends their card. How many addresses did they exchange?
- Three digits number
From the numbers 1, 2, 3, 4, and 5, create three-digit numbers whose digits do not repeat, and the number is divisible by 2. How many numbers are there?
- Shoes
Peter decided to measure the shoe size of his three friends. Measured accurately and written as follows: Venda and Jenda together 52 cm Jenda and Zdenda together 58 cm Zdenda and Venda together 54 cm a) How long measure Vendy, Jenda, and Zdenda shoes toge
- Journey
The road from A to B measures 11.5 km. Firstly, up the hill, then level plane, and then downhill. Tourists go uphill at 3 km/h, on planes at 4 km/h, and downhill at 5 km/h. From point A to B, it went 2 hours, 54 minutes back, 3 hours, and 6 minutes. How l
- Coins
One hundred coins, only 20-cent and 50-cent coins, were in the ticket machine. The total was 29 euros and 60 cents. How many were in the ticket machine coins, and which type?
- Sisters
Sisters Zuzka Lenka and Vierka have saved for a new bike. Zuzka save € 90, Lenka save € 90 and Vierka save € 82. Missing 30% gave them their mother. What is the price of the bike?
- Purchase
The mother bought five boxes of milk and 7 kg of potatoes and paid a total of CZK 147. The aunt bought seven boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How would CZK together have bee
- ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm.
- Equations
Solve the following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
- Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm?
- Coins
On coins found, it was stated that from the year 87 BC. Is it right?
- Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co
- Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level?
- Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city?
- Three digits number
How many are three-digit integers such that they have no digit repeats?
- Chess
How many different ways can you initiate a game of chess (first pass)?
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