Maths practice for 14 year olds - page 294 of 382

Number of problems found: 7626

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
Michael would cut the fence himself in 12 hours. It would take Michael and George 8 hours together. Determine how long it would take for George 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
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?
Exponent equation
Determine the value of x: 2^x = (2^-3): 2
Exponent value
Find z if 12^z = 1/144
Difference of two number
The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.
Square root puzzle
Find a natural number whose square root is 27 times its square root.
Nut distribution
Alena, Andrej, and Juraj have a total of 74 nuts. Alena has 45% more nuts than Andrej, and Juraj has 5 more nuts than Andrej. Determine how many nuts Alena, Juraj, and Andrej have.
Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm.
Ball probability
We have four red, three blue, six yellow, and two black balls in the bag. Find the probability of pulling the blue or red ball.
Money comparison
Dan has 50% more money than Milos. Jerry has 4 euros more than Miloš. They have a total of 52 euros. Find how much money Daniel, Miloš, and Jerry have.
Money distribution
Dan has 2x more money than Milos. Jerry has 4 euros more than Miloš. They have a total of 52 euros. Determine how much money Dan, Miloš, and Jerry have.

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