Maths practice for 14 year olds - page 281 of 361

Number of problems found: 7214

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
Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.
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.
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.
Number value
25% of the number x equals 2^-1. What is the value of x?
Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money Damian got and how much Denis got.
Unknown number x
5% from an unknown number equals the number 2⁶. What is the unknown number?
Shots
Determine the percentage rate of keeper interventions if 32 shots don't catch four shots.
Vegan shop
The shops brought 23.2 kg of goods, fruits, vegetables, and nuts. The fruit was 4.7 kg more than vegetables, and the nuts were 1.5 kilograms less than the fruit. Determine the number of fruits, vegetables, and nuts.
Number calculation
12% of x is 58 more than (6²) +5. Determine x.
Square root puzzle
Peter had a number in mind and said: When I divide this unknown number by the square root of 27 and then multiply by three, I get an unknown number. What number did Peter think?
Jacket price
The price of the jacket was x €. The coat was first discounted by 12% and then increased in price by 4% of the discounted amount. After discounting and subsequent price increases, the jacket cost exactly 91 euros and 52 cents. Find the original price of t
Runner
Peter ran at a speed of 12.4 km/h. After 45 minutes of running, he had a hiatus. The track is 31 km long. How many kilometers is he still to run if he still runs at the same speed?

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