Examples for secondary school students - page 82 of 229
Number of problems found: 4578
- Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone. - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - 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 (. ..) - Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals. - This year
This year, 2020, is a leap year. How many leap years had there been since 1904? - Missing term
What is the missing term in the sequence? _____, 13, 30, and 47? - The difference of AP
Find the difference d in an AP (arithmetic progression) whose 5th term is 18 and 39th term is 120.
- AP - which term In the A. P. 36, 39, 42, …, which term is 276?
- 15th term of AP What is the 15th term; x1=1.5, d=4.5?
- 10th term
What is the 10th term of the Arithmetic Progression if x1=4 and d=5? - Tournament's 32031
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points? - Interest 2
At the beginning of the year, Ms Mařasová obtained a loan from the bank in the amount of CZK 75,000 for three years, with an interest rate of 12.5%. She will repay the loan and interest in one go, after three years. The bank pays interest twice a year, al - Between two
There are regular flights between the two airports 690 km apart. A plane leaves the first airport at 6:30 with an average speed of 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. W - Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond. - Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE.
- Fly and cyclist
Two cyclists are 20 km apart on the same line. They start at the same time as each other at a speed of 10 km/hr. A fly sitting on one of the cyclist's handles starts flying toward the other cyclists at a speed of 20 km/hr. It touches the handle and moves - Beginning 31671
At the beginning of the year, Mr. Novák borrowed CZK 30,000 for two years with an interest rate of 11.8%. He will repay the debt at once after two years. The bank pays interest once a year, always at the end of the year. How much does Mr. Novák have to re - 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? - Saplings 31521
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho - Soldiers 31501
The soldiers walked 90km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day?
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