Examples for secondary school students - page 199 of 231
Number of problems found: 4612
- Numbers
Write the smallest three-digit number in divisions 5 and 7, and give the rest 2. - Rectangular trapezoid
Calculate the area of a rectangular trapezoid with a right angle at point A and if |AC| = 4 cm, |BC| = 3 cm, and the diagonal AC is perpendicular to the side BC. - Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - Car rent
Rental cars are paid a fixed daily fee plus 16 cents per kilometer traveled. Samuel wants to rent a car for a day and work out, which will cost 175 euros. When paying, he got a 20% discount on the daily fee, and the cost per kilometer was unchanged. Samue - Holidays
Of the 35 students in the class, seven were on holiday in Germany and just as many in Italy. Five students visited Austria. There were 21 students in none of these countries. One student visited all three. There were two students in Italy and Austria and - Two months
Mars has two months, Phobos and Deimos. Phobos orbit around Mars in 7 hours 39 minutes, and Deimos in 30 hours 14 minutes. How long will the relative positions of the three celestial bodies repeat? - Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm. - Regular quadrangular pyramid
How many square meters are needed to cover the shape of a regular quadrangular pyramid base edge of 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%. - Four-digit number
Find a four-digit number, which quadrupled written backward is the same number. - The confectionery
The confectionery sold five kinds of ice cream. If the order of ice cream does not matter, how many ways can I buy three kinds? - Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used a new one, but it was out of toner, and the exchange took 5 minutes at that time, copied on the old one. The whole work was done in 9 min. How long would the - 10 pieces
How to divide the circle into ten parts (geometrically)? - The city
In the city, 2/4 of women are married to 3/4 of men. What percentage of townspeople is single (not married)? - Double-track
On double-track express met with a freight train. Express travel at a speed of 72 km/h, and a freight train at a speed of 36 km/h. After what period will it be from 9 km apart? - Pyramid a+h Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
- The farmer
The farmer would like to first seed his small field. The required amount depends on the seed area. The field has a triangular shape. The farmer had a fenced field, so he knew the lengths of the sides: 73, 117, and 63 meters. Find a suitable way to determi - Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - travel agency
A small travel agency offers five different honeymoon tours. What is the probability that the bride and groom will choose the same tour (they will choose independently)? - One green
There are 45 white and 15 green balls in the container. We randomly select five balls. What is the probability that there will be one green ball maximally? - Championship on primary school
A district championship of primary school pupils took place at the athletics stadium. In athletics, they competed in four disciplines: long jump, high jump, 60m run, 400m run. Peter counted from the stands the person present in the stadium area. Seventeen
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