Examples for secondary school students - page 196 of 230
Number of problems found: 4586
- Circle inscribed
Calculate the perimeter and area of a circle inscribed in a triangle measuring 3, 4, and 5 cm. - Saving per cents
On the first day, I saved 1 cent, and I saved a cent more every following day. How much do I save in one year (365 days)? - Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes? - Candies
If Alena gives Lenka, 3 candies will still have one more candy. If Lenka gives Alena 1 candy, Alena will have twice as much candy as Lenka. How many candies have each of them? - Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm. - Three-digit numbers
How many three-digit numbers are from the numbers 0, 2, 4, 6 8 (with/without repetition)? - Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 18 cm. - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The - 3 days
The worker checked 2,950 products in 3 days. The second day checked 25% more than the first day. On the third day, 15% more products than on the second day. How many products does he check in each day? - The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Field with vegetables
The field planted with vegetables has a rectangular isosceles triangle with a leg length of 24 m. At the triangle's vertices are rotating sprinklers with a range of 12 m. How much of the field sprinkler isn't irrigated? - Probability 1775
The company has produced 500,000 cars so far, of which 5,000 were defective. What is the probability that at most one car out of 50 cars in daily production will be defective? - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Inflation
Assuming that the annual inflation rate in the year 2014 is expressed by the figure 6.3%, that is, the real value of monetary units (for example, crowns, euros, dollars), expressing the possibility of purchasing goods, decreased in the year 2014 by 6.3%. - Hockey match
The hockey match ended with a result of 3:1. How many different storylines may the match have? - Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down? His mother weighs 57 kg if she wants to be swung in balance. - Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm². - Balls
We have n identical balls (numbered 1-n) selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides wi
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