Examples for secondary school students - page 104 of 230
Number of problems found: 4586
- Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12cm and side edge b = 3 dm.
- The farm
The farm harvested 390 tons of grain. Wheat was 15% more than barley, and rye was 126 tons less than wheat and barley combined. How many tons of wheat, how many tons of barley, and how much rye did the team get?
- Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the
- Wheelchair
The boy pushes the wheelchair with a force of F1 = 20N. The wheelchair exerts a force of F2 on the boy. How large is this force?
- Two-digit number
The digit sum of thinking two-digit natural numbers is 11. When it exchanges a sequence of digits, given a number that is 27 less than the thinking number, find out which number I think.
- Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread?
- The perimeter of the rectangle
The length, l, of a rectangle is 4 inches greater than its width, w. The perimeter of the rectangle is at least 30 inches. What inequality shows the range of possible widths of the rectangle?
- A loan
A loan of $944 is charged simple interest at an annual rate of 8.1%. How much money is owed 14 months after the loan was made?
- The parabolic segment
The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis.
- Together m+w
Women are 30%. Men are 360 more. How many are together?
- Two companies
The family ordered two companies to modify the garden. The first would be done in 20 days; the second would take 40% less time. How long will they work together if the second company started working when the first worked for four days?
- Stones 3
Simiyu and Nasike each collected several stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If, initially, Simiyu had five stones less than Nasike, how many stones did each have?
- Bdf tablet
Detective Harry Thomson has come across a surprising mystery. As part of the weekend's action, the tablet he looked for dropped by 30%. He also recommended this bargain to his friend. However, it came to the shop on Monday, and the tablet was 30% more exp
- Washing powder
A 10-kilogram pack of washing powder is M euros more expensive than a 5-kilogram pack of the same powder. A 5-kilogram package costs P euros. Five kilos of packaging is not worth it because it is more expensive than half the price of 10 kilos. How much is
- One-time
A one-time fee of S euros is paid for renting a boat, and the same price is paid for each hour. For H hours of rental, we pay a one-time fee of K euros. Using the variables S, K, and H, determine the time for which we can rent this boat for 20 euros if th
- Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
- Ball bearings
One bearing is selected from the shipment of ball bearings. It is known from previous deliveries that the inner bearing radius can be considered a normal N distribution (µ = 0.400, σ2 = 25.10^−6). Calculate the probability that the selected radius will ex
- Students
If the fifth-grade class left 20% of students and in the seventh grade were added two pupils, in the eighth one pupil, the number has not changed in the ninth grade, but it is now tenth students less than it was in the fifth grade. How many pupils are in
- Students 12731
The 32 quartet students were divided into two classes during the game. After the first round, four students moved from the first class to the second, so half the number of students in the second class were in the first class during the first round. How we
- Inscribed circle
A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base?
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