Maths practice for 14 year olds - page 101 of 370
Number of problems found: 7388
- Right triangle generator  Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator? Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; 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 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
- Regular 62524  The floor in the game tower has the shape of a regular hexagon with a side length of 5m. 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%? The floor in the game tower has the shape of a regular hexagon with a side length of 5m. 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%?
- Fifty-koruna 62454  Kryštof 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 Kryštof have in his piggy bank? Kryštof 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 Kryštof have in his piggy bank?
- Withdrawals 62324  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 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? 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?
- Cross-country  62244   How many cross-country skis have risen in price if they increased the original price of € 75 to € 90 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? 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?
- Students  62184   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? 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?
- Banknotes  62164   Lucas saved 120 banknotes. They were 5 and 10-euro banknotes. He found that he had saved € 820. How many banknotes were there? 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? 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. 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.
- Resistance  62104   The iron is connected to a 230 V power supply with a current of 5000 mA. Calculate the electrical resistance of the iron. The iron is connected to a 230 V power supply with a current of 5000 mA. Calculate the electrical resistance of the iron.
- Volume  62064   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? 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?
- Superstar 62054  Jana, Petra, 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 Jan and Peter combined. How many text messages did all 3 girls send together? Jana, Petra, 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 Jan and Peter combined. How many text messages did all 3 girls send together?
- Pressure  61954   How does the pressure value change when we load a loader with the same weight as the car? 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? 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?
- Supported 61914  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? 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?
- Components  61904   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? 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?
- Gravitational 61894  The center of force on the wheel is 1.2 m from the axis of rotation, and the load is attracted by the earth's gravitational force equal to 800 newtons at a distance of 40 cm from the axis of rotation. How much force F2 does the worker lift the wheel? The center of force on the wheel is 1.2 m from the axis of rotation, and the load is attracted by the earth's gravitational force equal to 800 newtons at a distance of 40 cm from the axis of rotation. How much force F2 does the worker lift the wheel?
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