Examples for secondary school students - page 168 of 231

Number of problems found: 4612

Geometric progression
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6
Number ratio
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers.
Root sum
What is the sum of the fifth root of 243?
Exponential equation
Determine the value of having y in the expression (3^y): (4^-1)=36. Unknown y is a natural number greater than zero.
Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)
Kerosine and petrol
If 4 liters of petrol containing 15% kerosine are added to another 7 liters of petrol containing 10% kerosine, what percentage of the petrol is kerosine?
Sequence quotient
Fill in the third number of the sequence and find the quotient: 2.5, 1.25;
Coefficient
Determine the coefficient of this sequence: 7.2; 2.4; 0.8
Similarity coefficient
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
Sport probability
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball
School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school?
Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig
Blueberry collection
Peter, Alex, and Clara collected 112 blueberries. Peter collected two more blueberries than Clara. But Alex collected 34 less than Clara. How much does each of them collect?
Exponent equation
Determine the value of x: 2^x = (2^-3): 2
Exponent value
Find z if 12^z = 1/144
Difference of two number
The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.
Square root puzzle
Find a natural number whose square root is 27 times its square root.
Nut distribution
Alena, Andrej, and Juraj have a total of 74 nuts. Alena has 45% more nuts than Andrej, and Juraj has 5 more nuts than Andrej. Determine how many nuts Alena, Juraj, and Andrej have.
Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm.
Money comparison
Dano has 50% more money than Milos. Jarka has 4 euros more than Miloš. They have a total of 52 euros. Find how much money Daniel, Miloš, and Jarka have.

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