Examples for secondary school students - page 161 of 230
Number of problems found: 4586
- One percent
One percent of all the lights in the city are LED, and the remaining 99% are conventional. Other types are not there. John counted them honestly, but he had counted only conventional. After a good dinner, he registered numbers, and he gave notice that fro - Determine 4314
Find the rank of each null matrix. - There
There were 12 members on the commission. Five members were in favor, and seven members were against the proposal. In how many ways could it help the commission vote? - Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - Probably member
Look at the series 2,6,25,96,285, ? What number should come next? - Minimum of sum
Find a positive number that the sum of the number and its inverted value was minimal. - Inverse matrix
Find how many times the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix. - Vineyard
While visiting a winery, the family bought a total of 32 liters of wine in bottles of 0.7 liters and 1 liter. The ratio of the number of larger bottles to smaller bottles is 9:10. The price of a smaller bottle of wine was 120 CZK and a larger bottle was 1 - Resultant force
Calculate mathematically and graphically the resultant of three forces with a common center if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25° - Originally 4292
The weight of the water container is 2.48 kg. If we pour 75% of the water, the container with water weighs 0.98 kg. Find the weight of the empty container. How much water was originally in the container? - Subsequent 4290
The bonuses were paid to four people in sequence, with each subsequent person receiving double what the previous person received. How many crowns in premiums did each person receive, if a total of 2625 CZK was paid for all premiums? - Gasoline canisters
Thirty-five liters of gasoline is to be divided into four canisters so that the third canister will have 5 liters less than the first canister, the fourth canister 10 liters more than the third canister, and the second canister half of that in the first c - Variation equation
Solve combinatorics equation: V(2, x+8)=72 V(2,x+8) is variations, second class, from x+8 items. - The inverse
The inverse matrix for matrix A has a determinant value of 0.333. What value is a determinant of matrix A? - Equation: 4274
Solve the equation: V (2, x + 2) = 90 - Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers. - Derivative 4267
Calculate the value of the sixth derivative of this function: f (x) = 93x. - Derivative 4266
Calculate the value of the fifth derivative of this function: f (x) = 3x² + 2x + 4 - Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - Derivative 4251
What is the value of the derivative of this function: f (x) = 12x
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