Maths practice for 14 year olds - page 290 of 375

Number of problems found: 7492

Cocoa percentage
Chocolate has 86% cocoa. Determine how many grams of cocoa are in 165-gram chocolate.
Exponent equation
What is the solution of the equation: 2^x = 2/64
Arithmetic progression
Determine the difference between members of AP and find the third term: 7; 3.6;...
Number ratio
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers.
Work time
Josef would do the work himself in 5 hours. Josef and Michal would do the work together in 3.5 hours. Determine how long it would take Michal to do the job independently.
Root ratio
Determine the ratio of the square root of the number 27 and the square root of the number 16.
Number difference
The difference between the two numbers is 16. They are natural numbers. The first number is 17 times larger than the second number. Identify both of these numbers.
Exponential equation
Determine the value of having y in the expression (3^y): (4^-1)=36. Unknown y is a natural number greater than zero.
Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height)
Money duo
Julius and Mark have 45 euros together. Mark has 50% more money than Julius. Determine the amount of money Mark and Julius have.
Cancer
Of the 80 people, 50 people were ill with cancer. What percentage of people isn't ill?
Exponent value
Determine the value of f: 0.49^f = 0.7
Exponential equation
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5
Price saleoff
Shoes cost y euros. They were first discounted by 12% and then 50% of the new amount. After this double discount, the cost was exactly 22 euros. Determine the original price of the shoes.
Sequence quotient
Fill in the third number of the sequence and find the quotient: 2.5, 1.25;
Coefficient
Determine the coefficient of this sequence: 7.2; 2.4; 0.8
Work time
Michal would cut the fence himself in 12 hours. It would take Michal and Juraj 8 hours together. Determine how long it would take for Juraj to do the job.
Sales off
The shoe cost x euros. First, they are discounted by 50%, then 25% of the new amount. Determine what percentage of the total cost is cheaper.
Similarity coefficient
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52
Sport probability
Out of 20 boys playing football or handball, 16 boys play football, and 9 boys play handball. Determine the percentage probability that, by randomly selecting a boy, he plays: a) football only; b) only handball c) football and handball

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