Examples for secondary school students - page 167 of 230

Number of problems found: 4586

Fifth 3871
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?
Determine 3854
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
Coefficient: 3849
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
Probability 3847
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
Directorate 3845
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
Blueberries 3843
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?
Determine 3841
Determine the value of x: 2^x = (2^-3): 2
Determine 3840
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.
Natural 3838
Find a natural number whose square root is 27 times its square root.
Determine 3837
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.
Daniel 3833
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.
Difference 3832
Determine the difference AP if a1 = -7.5 and a1 + a2 = 4.8.
Determine 3831
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.

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