# Algebra - math word problems

- Chord

In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord? - Rectangles

How many rectangles with area 8713 cm^{2}whose sides is natural numbers are? - Guess number

With what number should be divided number 9727 to be reduced by 70%? - Secret number

Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4. - Angles

The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle. - Rectangle SS

Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Tourist

Tourist walk at 4.1 km/h. Every 5 km have 20-minute break. How many kilometers passed, when started at 4:40 and finished at 10:30? - Heron backlaw

Calculate missing side in a triangle with sides 17 and 34 and area 275. - Seedcake

Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros? - Circle

How big is area of circle if its circumference is 80.6 cm? - Quadratic equation

Quadratic equation ? has roots x_{1}= -26 and x_{2}= -86. Calculate the coefficients b and c. - Number

Calculate the integer number which, divided by 34 gives 10 and the rest 25. - Thrift woman

Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly. - Cap

Jesters hat is shaped by a rotating cone. Calculate how much paper is needed to the cap 54 cm high when the head circumference is 47 cm. - Compound interest

Calculate time when deposit in the bank with interest 2.5% p.a. doubles. - Chestnuts

Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts has Neil and Adrian? - Demographics

The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population? - Wood in the forest

The amount of wood in the forest was estimated at 6000 m^{3}. How much wood will be in forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m^{3}each year? - Barrel of oil

Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel? - Right triangle

Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.

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