Maths practice for 14 year olds - page 107 of 362
Number of problems found: 7237
- Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two - Right triangle generator
Detective Harry Thomson found on the Internet a generator for the side lengths of right triangles. According to it: a = 2xy, b = x² − y², c = x² + y², where x and y are natural numbers and x > y. Is it a working generator? - Castle Museum
Many medieval cannons made of cannon were found in the Castle Museum (cannon is an alloy of tin and copper in a ratio of 1:9). The councilors agreed that they did not need cannons, but a new bell would be thrown at the town tower. The bells are made of be - Hexagon floor parquet
The floor in the game tower has the shape of a regular hexagon with a side length of 5 m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%? - Coin piggy bank
Christopher has 1,500 kroner in ten and 50 kroner coins in his piggy bank. There are five times as many ten-koruna coins as fifty-koruna coins. How many ten-crown coins does Christopher have in his piggy bank? - Annual deposit savings
A person deposits 5,000 euros into a bank account at the beginning of each year for 10 years. He does not make any other deposits or withdrawals from the account. Determine the total amount saved at 8% compounded annually when interest is compounded annua - Colored balls
There are colored balls in the bag. One-third of them are blue, one-sixth are green, five-twelfths are yellow, and the remaining ten balls are red. How many yellow balls are in the bag? - Ski price increase
How many cross-country skis have risen in price if they increased the original price of € 75 to € 90 - Wall paper
Suppose you want to paper your walls. Wallpapers are available in 4 different backgrounds colors with seven different designs of 5 different colors. In how many ways can you select your wallpaper? - Weekly student selection
There are 16 students in the class. If the teacher wants to choose two students who will be weekly, how many options does she have? - Banknote savings Lucas Lucas saved 120 banknotes. They were 5 and 10-euro banknotes. He found that he had saved € 820. How many banknotes were there?
- Male players
In the game, 15 players played, and there were six males. What percent of males played in the game? - Conductor resistance
Calculate the resistance value of the electrical conductor if it is connected to a voltage of 12 V and an electric current of 0.3 A passes through it. - Iron electrical resistance
The iron is connected to a 230 V power supply with a current of 5000 mA. Calculate the electrical resistance of the iron. - Box cube paper
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box? - SMS message ratio
Jane, Patricia, and Andrea sent an SMS to Superstar. The number of messages they sent was in the ratio 4:3:2, with Andrea sending 35 fewer text messages than Jane and Patricia combined. How many text messages did all 3 girls send together? - Loader pressure change
How does the pressure value change when we load a loader with the same weight as the car? - Allan 2
Allan wants to buy a shirt regularly priced at PHP 265. The shirt Is on sale for 15% of the regular price. Which equation can be used to determine the sale price of the shirt? - Stone lever force
A person lifts a stone weighing 285 kg with the help of a lever that is supported at a distance of 30 cm from the stone. A person acts on the lever at a distance of 90 cm from the support. How much force does a person have to use to lift a stone? - Part weight ratio
Part 1 is half. 2nd part is 2/3 of 1/2. 3rd component weighs 3 kg. How much do the individual components weigh, and how much is it?
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