Maths practice for 14 year olds - page 64 of 367
Number of problems found: 7329
- Beer barrel percentage
In the morning, the waiter has 200 glasses with a volume of 0.3 liters and 100 large glasses with a volume of 0.5 liters each. He starts tapping into those glasses from the 100-liter barrel. In the evening, he will have half of the small beers and a fifth - Dance course participants
Two hundred fifty-two participants signed up for the classical ballroom dance course. There were 2 times more girls than boys. How many girls and how many boys applied? - Several resistors
We have a box with the same resistors, so all of them have a resistance value of 200 ohms. Draw the connection of several resistors so that the resulting resistance is: a) 100 b) 120 (only 4 resistors) - Liquid volume reduction
The warm liquid in the container reduced its volume by 2/27 after cooling By what percent was the warm liquid's volume greater than the cooled liquid's? - Basket candy ratio
There are lollipops, chocolates, and candies in the basket. The number of lollipops and chocolates is in the ratio of 2:3, and the number of chocolates and candies is in the ratio of 4:5. There are 15 fewer candies than lollipops and chocolates combined. - Examples on solutions
Example no. 1: For the preparation of a 2% solution we need 20 l of water. How many ml of preparation do we use? Example no. 2: How many litres of water/preparation do we need for the preparation of 20 litres of a 2% solution? Example no. 3: How many litr - Slant surface
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Milan Eduard savings
Milo saved 120 euros per year, and Eduard saved 150 euros. By what percentage did Eduard save more? - Plant employee total
Three hundred forty-four women are employed at the GUMÁR plant. The remaining 57% of employees are men. How many employees does the entire GUMÁR plant have? - Highway construction weeks
The first group of construction workers would build a certain section of highway in 15 weeks, and the second group would make it in 10 weeks. After four weeks of working together, the second group was dismissed, and only the first group continued to work. - Exchange fax sale
The merchant bought 5 telephone exchanges and 10 faxes for 8,500 euros. How much did he sell them for if the sale price was 30% higher than the purchase price? - City baths
In the city baths, each visitor pays 100 Kč (Czech crown) for 90 minutes. With a city card, the visitor pays for the same time 50 Kč. The price of the city card is 300 Kč. Martin and Emil always go swimming together and their visit lasts exactly 90 minute - Football field scale
What is the scale of the city plan if the new football field with dimensions of 90 m by 120 m is shown on it as a rectangle with dimensions of 3 cm by 4 cm? - Rectangle side percentage
One side of a rectangle is 45% of the length of its other side. What are the dimensions of a rectangle if its perimeter is 101.5 cm? - Pear apple price
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Paper strip folding
A rectangular strip of paper measuring 4 cm x 13 cm is folded as shown. The two resulting rectangles have areas P and Q, where P = 2Q. Calculate the value of x. Note divide the side of 13 cm by x and 13-x. - Lenka book library
Helen has 30% fewer books in her library than Philip but 40% more than Ivan. Philip has 250 books. How many books does Ivan have? - Cone sphere volume A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
- Men money denarii
Two men talk about how much money each has. The first says to the second: If you give me 12 denarii, we will both have the same. "Second branch: If you give me 12 denarii, I will have ten times more than you. How many denarii did each of them have? - Cylinder diameter height
A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm². Report the results to the nearest millimeter.
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