Maths practice for 14 year olds - page 280 of 362

Number of problems found: 7230

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?
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.
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.
Money distribution
Dan has 2x more money than Milos. Jerry has 4 euros more than Miloš. They have a total of 52 euros. Determine how much money Dan, 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.
Percentage calculation
Determine 120% of numbers 16, 32, 48, and 52.
Three friends
Danica, Helen, and Dalibor have 96 kg altogether. Helen weighs 75% more than Dalibor, and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Helen, 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.
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.
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

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