# Arithmetic - math word problems

1. Product of two fractions Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction.
2. Quotient Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1,6 a1-a2=2,4.
3. Shoes 4 Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. In centimeters, what is the combined length of their two shoes?
4. Resultant force Calculate mathematically and graphically the resultant of a three forces with a common centre if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25°
5. Unknown number I think number. If subtract from the twelfth square the ninth square I get a number 27 times greater than the intended number. What is this unknown number?
6. Hexagon area The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.
7. Q of GP Calculate quotient of geometric progression if a1=5 a a1+a2=12.
8. Truck The truck passed 4550 km in 5 days. The first three days passed every day the same way. The fourth day passed 630 km and the fifth day was 920 km. How many km has passed the first three days? The double ladder has 3 meters long shoulders. What is the height of the upper of the ladder reach if the lower ends are 1.8 meters apart?
10. Sum of members What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5?
11. Swallows 7 swallows 8 tits and 8 sparrows sitting on a wire. How many total flyoff bird sitting on a wire?
12. Rectangle 39 Find the perimeter and area of the rectangular with vertices (-1, 4), (0,4), (0, -1), and (-4, 4)
13. Company account The company had an account of EUR 10,000. On Monday it withdraw 3,000 euros and Tuesday 6,000 euros. How much did the euro remain in the account?
14. Volume and area What is the volume of a cube which has area of 361 cm2?
15. The terrace Around the round pool with a diameter of 5.5 meters is a wooden terrace with a width of 130 cm. What is the area of the terrace? Grandfather have three barrels each with a capacity 2HL in the garden. How many times he can fill 10L can if two barrels are full and the third is filled with water to the half? How long it lasts water when irrigate the garden 125 liters a day?
17. Skiing Ski gondola starts at a distance of 975 m from the top and is 389 meters long. I went to the bottom station to the top station. How many meters I must go to the top of hill?
18. Imaginary numbers Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
19. Car parking The car park has 80 cars when 53 cars leaves. How many car are there?
20. Circle chord Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.

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