Examples for secondary school students - page 101 of 212
Number of problems found: 4239
- Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their contents are the same. - Probability 71204
On ten identical cards, there are numbers from zero to nine. Determine the probability that a two-digit number randomly drawn from the given cards is: a) even b) divisible by six c) divisible by twenty-one - Arbitrary 69194
There are ten arbitrary points in the plane. How many circles can we make from them? - Different 68064
Anna painted eggs for art. She had five colors for her eggs. He wants to put three of them on each. How many different colored eggs could she paint? (It's just the colors, not the shapes on them. ) - Increases 63204
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side ao decreases by 1 cm at the same time, the area of the rectangle increa - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - 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? - Displacement 55871
Assemble the two offsets, d1, and d2, shown by OA and OB oriented lines. The coordinates of the points are O = (0m, 0m), A = (3m, 3m), and B = (5m, 2m). Measure the magnitude of the resulting displacement d. - Acceleration 43741
The tram starts with a constant acceleration of 0.3 m/s2. How long will it take to cover the tenth meter of its track? - Probability 38083
The police solved 21 crimes in the monitored period. The probability of solving a crime is 0.64. What is the probability that the police: a) just solved 7 crimes b) did not solve at least 2 criminal offenses P.S. Let's assume ideal police officers - Depreciated 37521
The initial price of the machine is 12000 euros. 21% of its price is depreciated yearly due to wear and tear. What value will the machine have after five years? - Perpendicular 32733
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v - Coordinates 32183
The triangle ABC is given in the plane. A (-3,5), B (2,3), C (-1, -2) write the coordinates of the vectors u, v, w if u = AB, v = AC, and w = BC. Enter the coordinates of the centers of the lines SAB (..), SAC (...), SBC (. ..) - Previous 31631
Karel saved CZK 4,300 a year. In the last five months of the year, he saved 100 crowns less than in the previous seven months. How much did he save first, and how much then? - Earned 30451
They earned CZK 98,400 in the shop in three weeks. The second week's sales were 20% higher than the first. The third week was 10% lower than the second week. How much did they earn each week? - Different 25431
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Afforestation 24341
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted on each day? - Circumscribed 22713
Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm. - One-fifth 21003
John, Paul, Peter, and Jan earned 42 thousand. John and Paul have the same. Peter is 20% more than Paul. George was one-fifth less than Paul. How much did everyone earn? - Forty-eight 19513
25% of children did not attend the course because they were ill. Forty-eight children passed the course. How many children were initially supposed to complete the course?
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