Math practice for 13 year olds - page 131 of 414
Number of problems found: 8275
- Pears
Boris, Philip, and Martin harvested pears. It took Boris 30 minutes to harvest one full crate, 20 minutes for Philip, and 36 minutes for Martin. Calculate how long it would take them to pick up five full crates together. - Mr Adam
Mr. Adam saved € 850. If Mr. Boris had half and a sixth more than he should, they would have the same with Mr. Adam. How many euros has Mr. Boris saved? - Football match visitors
Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total n - Rectangle diagonal ratio
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - Magnetic induction direction
The magnetic induction vector at a given field location has the direction: a) to the south magnetic pole b) tangent to the induction line c) to the north magnetic pole d) perpendicular to the tangent to the induction line - The proportion
Solve for N in this proportion: 6/5=30/N? - Employees 4
Of 125 employees, 102 are assigned to perform ONLY ONE programming job, either system programming or application programming. Ten employees are not assigned to perform any of those programming jobs. Overall, 52 employees are given to perform ONLY system p - A labourer
A laborer who works five days a week starts at 10 AM on Monday. If he works for 56 days, on which day will he complete the job? - Street lamp ladder
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom? - Bread black white
They sold 452 loaves of bread in the store. They sold three times more black bread than white bread. How much white and black bread did they sell in the store? - Twelve-minute run
Runner Adam performs a twelve-minute training run every day. He starts running at a speed of 3.5 m/s and every three minutes he increases his speed by 0.5 m/s. At the end of the first section, the cyclist Eva overtakes the runner, who is riding at a const - Average age
There are 20 students in the class. Several are 12 years old, and others are 13 years old. Find out how old is twelve when the average age of a class is: a) 12.5 years b) 12.75 years c) 12.3 years d) 12.35 years - 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 - Linear function graph
The equation of the linear function is: y = -3x + 4 (a) determine the intersections with the axes sketch chart b) for which x applies f (x) = - 1 c) for which x applies f (x) = 0 d) for which y applies f (-1/2) = y - 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?
- Lenka Julia age
Helen is 12 years old, and her sister Julia is x years old. My mother is 22 years older than Julia, and at the same time, Helen is three times younger than her mother. How old is Julia? - 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
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