Examples for secondary school students - page 155 of 230
Number of problems found: 4597
- 30-gon
The radius of the inscribed circle is 15cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area. - Vertex angle - cone
The rotating cone has a height of 72 cm and an angle at the top of 72°. Determine the volume of a sphere with the same radius as the cone. - Rectangular 4867
The rectangular matrix contains 12 elements and three rows. How many columns does this matrix have? - Calculate 4865
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2] - Trucks
Three lorries droved bricks. One drove n bricks at once, the second m fewer bricks than the first and the third 300 bricks more than the first lorry. The first lorry went four times a day. The largest went three times a day, and the smallest lorry five ti - House volume
V = 35 m α = 55° β = 15° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Salt
Seawater containing 5% salt. How many kilograms of fresh water is necessary to pour into 40 kg of seawater so that the salinity falls to 2%? - Express
Express the equation of the function: a/prices of cucumbers for the number of cucumbers sold, if one cucumber costs CZK 5 b/the area of the rectangle on side b, if side a measures 5 cm c/the perimeter of the rectangle on side b, if side a measures 5 cm d/ - Domains: 4845
Specify function domains: a / y = 2x-1 b / y = 5x / (2x + 1) c / y = x² / (x²-9) - Trapezoid
How long are the trapezoid bases with an area of 24 cm² and a height of 3 cm? One base is three times longer than the shorter. - Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)? - Numerically 4839
Calculate the diagonal of such a square, which holds that its area is equal to its perimeter (without considering units numerically ...). - Contains 4838 The square matrix contains 81 elements. How many rows does this array contain?
- Bags
The first bag weighs 18 kg, the second bag is one-third lighter than the first, and the third bag has three times less than the weight of all three bags. Determine their weights. - V-belt
Calculate the length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm (distance between pulley axes) - Savings
Paul has by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have three boys together? - Center of gravity
In the isosceles triangle ABC the lengths of AB and the height to AB is the ratio of 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Visited 4828
The cinema was visited by a total of 890 people in 3 days. On the 2nd day, it was three times more than the 1st day; on the 3rd day, 50 people more than on the 2nd day visited the cinema. How many people see the cinema each day? - Cards
From a set of 32 cards, we randomly pull out three cards. What is the probability that it will be seven kings and an ace?
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