Maths practice for 14 year olds - page 279 of 362

Number of problems found: 7226

Exponent value
Determine what z equals in the expression 169^z = 2 · 6.5
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.
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.
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
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
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
Cablecar
Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb.
School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school?
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?

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