Examples for secondary school students - page 150 of 230
Number of problems found: 4582
- Doctor 2
A doctor noted the Diastolic Blood Pressure (DBP) of a large number of patients. Later, he scrambled the data to keep the privacy of his patients. Based on the scrambled dataset, he finds that the lower inner fence is equal to 50 and the upper inner fence
- Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
- Determine 5192
Determine the numbers x and y so that half of the number x is 30% of the number, and 60% of y is 90.
- Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage?
- Difference 5186
The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number.
- Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β?
- Variable
Find variable P: PP plus P x P plus P = 160
- Gas consumption
If the vessel consumes 100 tons of gas in 250 miles, how much fuel will it consume if it travels 400 miles?
- Rectangular 5174
How many columns does a rectangular matrix contain, which contains 45 elements, and the number of its columns is five times larger than the number of its rows?
- Contain 5173
Write the number of units that contain a unit matrix with rows 3.
- Determinant 5172
Determine the determinant of a square matrix of type 4x4 if we know that it is zero.
- Truncated cone 5
The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3cm. What could be the possible answer for the upper radius of a truncated cone?
- Second-order 5170
What is the rank of a second-order square matrix if we can only say that it is singular?
- Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
- Saving 9
An amount of $2000 is invested at an interest of 5% per month. If $200 is added at the beginning of each successive month but no withdrawals are made, give an expression for the value accumulated after n months. After how many months will the accumulated
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are at a ratio of 5:3. The arm is 6cm long and 4cm high.
- Adam and Ben
When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old are you today, Ben and Adam?
- Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, and the height of the tang is found.
- View angle
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river
- Water channel
The cross-section of the water channel is a trapezoid. The bottom width is 19.7 m, the water surface width is 28.5 m, and the side walls have a slope of 67°30' and 61°15'. Calculate how much water flows through the channel in 5 minutes if the water flows
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