Maths practice for 14 year olds - page 330 of 362
Number of problems found: 7231
- 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? - Friends in cinema
5 friends went to the cinema. How many possible ways can they sit in a row if one of them wants to sit in the middle and the remaining place does not matter? - 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 a camp, 6 friends exchanged address cards. Each friend gave their card to each of the other 5 friends. How many cards were exchanged in total? - 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 Jack together 52 cm Jenda and Dennis together 58 cm Zdenda and Vince together 54 cm a) How long measure Vince, Jack, and Dennis shoes togeth - 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 - Sisters
Sisters Susan Helen and Vera have saved for a new bike. Susan save € 90, Helen save € 90 and Vera 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 - Pair
The pair have been together 57 years. He has two times as she was when he was equal as she has today. How old are they? - Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - 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 352 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? - Three days
During the three days, I sold stationery 1490 workbooks. The first day sold workbooks more than the third day. On the second day, 190 workbooks sold in less than the third day. How many workbooks are sold each day? - 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?
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