Examples for secondary school students - page 169 of 231

Number of problems found: 4612

Arithmetic progression
Determine the difference AP if a1 = -7.5 and a1 + a2 = 4.8.
Money distribution
Dano has 2x more money than Milos. Jarka has 4 euros more than Miloš. They have a total of 52 euros. Determine how much money Dano, Miloš, and Jarka have.
First man
What is the likelihood of a random event where are five men and seven women will first leave the man?
Geometric progression
Determine the sum of the first three members of GP if q = 2 and a4 = 2.4.
Three friends
Danica, Lenka, and Dalibor have 96 kg altogether. Lenka weighs 75% more than Dalibor, and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Lenka, and Dalibor.
Bottle rows
There are 48 bottles in the third row, seven fewer in each row than in the previous row. Find the number of bottles in the first row.
Two numbers
The sum of the two numbers is 48. 12.5% of the first number equals exactly 4. Find both of these numbers.
Sequence coefficient
What is the coefficient of this sequence? 4.8; 1.2; 0.3
Exponent value
Determine y: 32^y = 2
Number puzzle
Darius said to Miloš: I think a number. If I square it to one-fourth and then multiply it by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers.
Root equation
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea
Diagonals
The diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal.
Exponent value
Determine what number equals z in the expression 3^z = 1/243
Geometric progression
Determine the third, fourth, and fifth GP members if a1 = -0.5 with q = -4.
Exponent value
Determine what y equals in the expression 5^y = 1/25
Geometric progression
Determine the ratio of the first and second GP members if q = -0.3 and a3 = 5.4.
Mean
The mean of 50 items for a student's food is 38.6. When checking the work, he found that he had taken one item as 50 to read as 40 correctly in these circumstances. What should the correct arithmetic mean?
Rectangle
Calculate the area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
Money distribution
Denis has 43% more money than Damian, and Zuzana has 12% less money than Damian. They have a total of 165 euros and 50 cents. Determine how much money Denis, Damian, and Zuzana have.
Exponent value
Calculate the value of y: 3^y = 0.333

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