Examples for secondary school students - page 114 of 231
Number of problems found: 4613
- 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 - Wooden prism painting
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
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Exponential equation solving
Solve the exponential equation: 8 raised to x = 40 - Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It 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 in it? - Five-Digit Numbers Adjacent Digits
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. - Pyramid - angles
In a regular pyramid in which the edge of the base is | AB | = 4 cm; height = 6 cm, 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. - Number expression writing
Write with: (a) the number x increased by half (b) the number y was 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. - Chocolate candy mixture
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? - Competition Prize Places
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - Set variation increase
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? - Variation element count
How many elements do we create 90 variations of 2 classes without repeating elements? - One three
We throw two dice. What is the probability that number three falls maximally once? - Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines? - Cone Lateral Surface Area
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Sphere radius calculation
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter.
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