# Algebra - math word problems

1. 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?
2. Rectangles
How many rectangles with area 8713 cm2 whose sides is natural numbers are?
3. Guess number
With what number should be divided number 9727 to be reduced by 70%?
4. Secret number
Determine the secret number n, which reversed decrease by 16.4 if the number increase by 16.4.
5. Angles
The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
6. Rectangle SS
Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
7. 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?
8. Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
9. Seedcake
Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros?
10. Circle
How big is area of circle if its circumference is 80.6 cm?
Quadratic equation ? has roots x1 = -26 and x2 = -86. Calculate the coefficients b and c.
12. Number
Calculate the integer number which, divided by 34 gives 10 and the rest 25.
13. Thrift woman
Calculate how long grandmother will save to new shoes priced 108 euros if save 3 Eur monthly.
14. 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.
15. Compound interest
Calculate time when deposit in the bank with interest 2.5% p.a. doubles.
16. Chestnuts
Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts has Neil and Adrian?
17. Demographics
The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?
18. Wood in the forest
The amount of wood in the forest was estimated at 6000 m3. How much wood will be in forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m3 each year?
19. 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?
20. 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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