Math practice for 13 year olds - page 320 of 413

Number of problems found: 8254

Cablecar
Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb.
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 many did each of them collect?
Linear system
Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720
Exponent equation
Determine the value of x: 2^x = (2^-3): 2
Exponent value
Find z if 12^z = 1/144
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.
Ball probability
We have four red, three blue, six yellow, and two black balls in the bag. Find the probability of pulling the blue or red ball.
Money comparison
Dan has 50% more money than Milos. Jerry has 4 euros more than Miloš. They have a total of 52 euros. Find how much money Daniel, Miloš, and Jerry 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.
Equation
Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
Percentage calculation
Determine 120% of numbers 16, 32, 48, and 52.
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.
Exponent value
Determine y: 32^y = 2
Number puzzle
Darius said to Miloš: I think a number. If I raise it to the power of one-fourth and then multiply by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers.
Diagonals
The diagonal of a rhombus is 20 cm long. If its side is 26 cm, find the length of the other diagonal.
Brief probability
Natalia went to the closet to pick out Daniel's briefs. Daniel has one piece of white briefs and one piece of black briefs in the closet. What is the probability that Natalie will take off his white briefs?

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