Math practice for 13 year olds - page 321 of 413

Number of problems found: 8260

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?
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?
Expression value
Specify the value of the expression: (1024^0.1): 9
Exponent value
Calculate the value of y: 3^y = 0.333
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.
Cargo
The car with cargo weighs 7610 kg, which is 23% of its total weight and cargo. How heavy is the cargo?
Exponent equation
Which number is hidden behind x: 2 · x = 16^0.5
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.
Walnuts
x walnuts were in the mission. Dano took 1/4 of the nuts, Michael took 1/8 of the rest, and John took 34 nuts. It stayed here 29 nuts. Determine the original number of nuts.
Hazelnut eating
Denis eats 12 hazelnuts in 1 day. How many more hazelnuts must he eat a day to eat 57 hazelnuts in 3 days if he ate the same amount of nuts every day?
Cone mass
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800 g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams.

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