Examples for secondary school students - page 119 of 237

Number of problems found: 4730

Function ascending descending
Write whether the function is ascending or descending and determine the coordinates of the intersection with the x and y axes: y = 3x-2 y = 5x + 5 y = -0.5x-1
Shrek Fiona weight
Shrek and Fiona together weigh 201 kg. And Shrek is two times heavier than Fiona. How much does Shrek weigh?
Shrek Fiona height
Shrek and Fiona have a total of 360 cm. Shrek is 24 cm taller than Fiona. How many cm does Shrek, and how many does Fiona measure?
Bonuses
Five company employees were paid bonuses, so each successor received 550 USD less than the previous employee. If a total of USD 11,000 was paid, how much did everyone get?
Curiosity factor
A blogger starts a new website. Initially, the number of visitors was 293. The owner estimated that traffic would increase by 2.6% per week. What will the number of visitors be in week 5?
Trip payment calculation
Forty children and adults attended the trip. Together, they paid CZK 24,100. If children paid CZK 400 and adults CZK 700, how many adults and children would there be?
Lathe
95% of the components manufactured on the lathe comply with the standard, of which 80% of the components are first-class. How likely can we expect a manufactured part to be first class?
Pyramid edge calculation
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length?
Former price
The price of an article is cut by 10% to restore it to its former value. By what percent the new price must be increased?
Percent change
The length of a rectangle is increased by 25%, and the width is decreased by 10%. By what percent is the area of the rectangle larger than the area of the original rectangle?
Barrel Water Weight Empty
The barrel of water weighed 64 kg. When We poured 28% of the water from it on the first day and a third of the rest on the second day, it weighed 38 kg. Calculate the empty barrel's weight and the water's initial weight.
Well digging cost
Mr. Peter needs to dig a 20m deep well on his property. The AZET company charges 1 euro for the first meter and 2x more for each subsequent meter. The ZETA company charges 200 euros for each meter of well depth. Which company should Mr. Peter choose if he
Odd number sum
Calculate the sum of all 4-digit odd natural numbers.
Circle Area from Diagonal
Calculate in cm² the area of a circle whose diameter is equal to the length of the diagonal of a square ABCD with a side of 4 cm.
Candidates
The citizens of Kocúrkovo elected a mayor from two candidates. The winning candidate received 51% of all votes, which was 12 votes more than the defeated candidate received. 75% of all eligible voters came to the vote and all votes were valid. How many ci
Atmospheric
Air pressure decreases with increasing altitude (at constant temperature) by approximately 1.2% per 100 m. At sea level, normal atmospheric pressure is assumed to be approximately 1,000 hPa. The altitude of Lomnický štít is approximately 2,600 metres. Wha
Humankind
The world population began to grow around 1400, after the end of the plague epidemics. In 1804, our planet reached the first billion inhabitants. In 123 years it reached the second billion. The third we managed in another 33 years, the fourth after 14, th
The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase?
Seating Arrangement Condition
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C?
Ski trip accommodation
159 pupils took part in the ski trip and were accommodated in 3 winter huts marked letters A, B, and C, 8 more pupils were accommodated in cottage B than in cottage A, and 14 more pupils were accommodated in cottage C than in cottage B. How many pupils we

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