Maths practice for 14 year olds - page 292 of 375

Number of problems found: 7492

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.
Geometric progression
Determine the third, fourth, and fifth GP members if a1 = -0.5 with q = -4.
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?
Exponent value
Determine what y equals in the expression 5^y = 1/25
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?
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.
Expression value
Specify the value of the expression: (1024^0.1): 9
Exponent value
Calculate the value of y: 3^y = 0.333
Arithmetic progression
Determine the second term and the difference AP if a3 = 5 and a1 + a3 = 16.
Money distribution
Dano and Juraj have a total of 120 euros. Juraj has 40% less money than Daniel. Determine how much money Daniel and Juraj have.
Q of GP
Calculate the quotient of geometric progression if a1=5 and a1+a2=12.
Exponent equation
Which number is hidden behind x: 2 · x = 16^0.5
Geometric progression
Determine the quotient and the second GP member if a3 = -5, a2 + a3 = -7
Poster rental
The poster area consists of a mantle with a diameter of 80 cm and a 1 m. The tenant pays CZK 20 per day for 1 square meter of space. How much does it cost to rent the whole area for July?
Cube surfaces ratio
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes?
Stolen amounts
X + Y = 31835 X is the amount stolen by 1,2 and 3 Y is the amount stolen by 4 and 5 1. stole half of X, 2. half the rest and 3 more on top of that 3. stole 6801.5 4. He stole 1/9 of Y, which is 513 5. He stole the rest
Money
Peter has 2x more money than Michael. However, if Peter gave Michael € 16, Michael would have 3.5 times more money than Peter. Find how much money was initially sent from Peter and how much Michael.
Number calculation
Determine x if 52% of x equals 9.1 * 6.

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