Examples for secondary school students - page 98 of 214
Number of problems found: 4267
- Big family
A certain number of people met at the family celebration - their average age was three times the number present. Then came my grandfather, who was 75 years old, and the average age was again three times the number present. How many people are celebrating - Ground 8370
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - Interest 8369
Mr. Novák borrowed € 3,500 from the bank with an annual interest rate of 14%. He repaid the loan after a year. How much did he pay to the bank? - Species 8368
20 books for 262 euros One species for 11.60 euros Two species for 13.60 euros how many books to buy for 11.6O euros and how many for 13.6O euros
- The mowers
The mowers were to mow two meadows, one twice as big as the other. They divided into two equal groups in the first half of the day. One continued to mow a larger meadow and cut it all by the end of the day. The second group mowed a smaller meadow but did - Rectangular 8365
The kit contains wooden prisms of various shapes. One is 4-sided with the base of a rectangular trapezoid (base measures 15cm and 27cm), arms 16cm and 20cm. The other was a 3-sided prism with base dimensions a=20cm, b=18cm, vb=30cm. Both prisms had a heig - A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo - Sphere radius
The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Exponential 8360
Solve the exponential equation: 8 raised to x = 40
- Classic tent
The tent has the shape of a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. The tent is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is i - Five-digit 8357
How many five-digit numbers can you create from the numbers 1,2,3,4,5,6 if 1 and 2 must always be next to each other? We cannot repeat the digits. - A fisherman
A fisherman buys carnivores to fish. He could buy either six larvae and four worms for $ 132 or 4 larvae and seven worms for $ 127. What is the price of larvae and worms? Argue the answer. - Calculate 8354
In a regular pyramid in which the edge of the base is | AB | = 4cm; height = 6cm, calculate the angle of the lines AV and CV, V = vertex. - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden.
- Increased 8350
Write with: (a) the number x increased by half (b) the number y reduced by 20 c) a quarter of the sum of the numbers x and y (d) a figure 20% greater than e) 40% of number x - RT sides
Find the sides of a rectangular triangle if legs a + b = 17cm and the radius of the written circle ρ = 2cm. - Different 8342
Three different types of chocolate candies at the price of 18 CZK, 24 CZK, and 20 CZK per 10 dag (formerly mass unit - dkg). How much will CZK cost for 1 kg of mixture mixed in a ratio of 1:5:4? - Participants 8335
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? The prize for 15 participants in the competition? - Third-class 8334
If we add one element to set A, the number of third-class variations increases two times. How many elements did the set initially contain?
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