Maths practice for 14 year olds - page 282 of 362

Number of problems found: 7226

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?
Brother ages
Milan and Methodius are now 70 years old. Seven years ago, Milan was 1.8 times older than Methodius. Determine how old Milan is now and how many Metoděj is.
Price reduction
The goods became cheaper twice a row, first by 18% and then by 16% of the new amount. After this double reduction, it cost precisely 516 euros and 60 cents. Determine the flood amount of the goods.
Belgium vs Italy
Belgium played a match with Italy and Belgium won by two goals. The match fell a total of 6 goals. Determine the number of goals scored by Belgium and Italy.
Root relationship
Dana and Julia's numbers are different. Dana's number represents the eleventh root of Julkin's number. The sum of their numbers is 2050. Determine what number Dana has and what Julia has.
Arithmetic progression
Determine the sum of the second and fifth AP members if a1 = -4.12, d = -0.7
Exponent value
Determine x if 27^x = 1/3
Laptop discount
The laptop was discounted by x euros. After a 15% reduction, it cost 595 euros. How many euros did the laptop cost before?
Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm.
Quotient
Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1.6, and a1-a2=2.4.
Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated?
Threesome
Dana, Dalibor, and Michael have a combined 57 years. Dana is five years older than Dalibor, but Dana is five years younger than Michael. Find out how old Dana, Dalibor, and Michael are.
Sale off
The product cost 95 euros before the sale. After-sale off cost 74 euros and 10 cents. About what percentage of products became cheaper?
Coins
Denis and Zdeno together have 97 coins. If Denis had four coins less than he has now, the coins would be in the ratio 14:17. Determine the number of coins owned by Denis and Zdeno.

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