Maths practice for 14 year olds - page 97 of 379
Number of problems found: 7575
- Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°. - Discounts 64674
The camera was reduced twice, first by one-fifth of the original price and then by a quarter of its new price. After the second discount, the camera cost CZK 8,100. How much did he face before the discounts? - Calculate 64654
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Probability 64634
What probability does a randomly drawn two-digit number have the same digits? Write the result as a decimal number. - Right-angled 64614
Arrange the given shapes according to their area, in descending order: S - Square with perimeter = 16 cm O - A rectangle with side a = 3 cm and perimeter o = 16 cm T - A right-angled triangle with a hypotenuse of 4.125 cm and a hypotenuse of 8.125 cm - Beginning 64594
Goods with a price of 520 € became more expensive by 15% at the beginning of the season. At the end of the season, the goods became cheaper by 10%. How much did the goods cost at the end of the season? - Perpendiculars 64574
Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long.
- Opened 64544
We can fill the pool with two inflow pipes. The first pipe fill in 24 hours and the second in 16 hours. How long did the pool fill if the first tube was open for the first 4 hours and then we opened both inlets? - Passenger 64534
A passenger car drove a highway section at a constant speed. At a speed of 20 km/h higher, the ride would take 6 minutes less. At a speed of 20 km/h lower, it would take 9 minutes more. Calculate the length of the highway section. - Calculate 64514
In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c. - Four-digit 64504
Writing a four-digit number ends with the number 5. If we move this number to the first place, we get a number 531 larger than the original. Specify the original number. - Probability RGB
The bag has six red, five green, eight blue, and 11 yellow balls. What is the probability that we will pull out a green ball? - Parallelogram 64414
The parallelogram has side a = 58cm and diagonals u = 89cm and v = 52cm. Calculate the perimeter and area of this parallelogram. - Arithmetic 64394
Karolína does not want to reveal at home what grades she will get on her report card. She said only this: "There will be 8 marks on the report card, their arithmetic mean is 2.125, the median is 2, the mode is 1, and I will not have any 2's. How many four - Percentages 64334
In the first delivery of 120 parts, there was 5% waste. In the second delivery in which, 10% of the 80 were scrapped. How much scrap was brought in with the first and second deliveries combined? What % of scrap was there in both deliveries of parts, out o
- Increased 64324
The number of books in the city library increased by 0.2% in 2008 and 0.6% in 2009. At the same time, the total number of books remained less than 300,000. How many books were added to the city library in 2009? - Centimeter 64224
A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter. - Employees 64184
The company employs 20% more women than men and 240 women. How many employees are there? - Brigadiers 64164
Temporary workers Ivan, Lea, and Dana earned a total of 480 euros. Ivan made a third of that money. Lea and Dana earned the remaining money in a 3:1 ratio. How many euros did Leo earn? - Completed 64134 Six workers will do the work in 8 hours. How many workers must be added if the work is to be completed in 3 hours?
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