Examples for secondary school students - page 218 of 230
Number of problems found: 4586
- Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares. - Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri - Arc
Convert to arc measures (radians): 919 ° The result write as a multiple of π - Balls
From the urn in which are 18 white balls and 10 red, gradually drag 4-times without replacement. What is the probability that pulls balls are in order: červená červená červená biela? - Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle. - Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC. - Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 2 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - Chocolates
In the market, we have 3 kinds of chocolates. How many ways can we buy 8 chocolates? - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface? - Components
The 7 white, 4 blue, and 3 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it? - Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Quadrant
In what quadrant is a -1165° angle? - No. of divisors
How many different divisors have number 13 4 * 2 4? - Bonus
The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses? - Slope
What is the slope of a line with an inclination -325°? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
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