# Arithmetic - math word problems

1. Virus We have a virus that lives one hour. Every half hour produce two child viruses. What will be the living population of the virus after 3.5 hours?
2. Grandmother Children's grandmother bought two identical toy cars and a doll. Total paid 492 Kč. The doll was 150 Kč. How much money cost 1 toy car?
3. Rounding The following numbers round to the thousandth:
4. Cuboid edges in ratio Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
5. Percentages Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm2 of 12.5 dm2 c / 2dm2 of 400 cm2 D / 0.2 liters from 2.2 liters
6. Videotape Viera bought a videotape on which you can record programs with a total length of 240 minutes. She recorded a sci fi movie 1 hour and 28 minutes long, five ten-minute sessions "aerobics at home." Can she fits on the tape even film of Robin Hood who takes a
7. April (month) April has 30 days. Roman saves his money in the box for the whole month. Every third day you saves 10 cents. How many cents did Roman saved during the whole month when start saving on April 1?
8. Primes 2 For what primes p,q,r is true: p2-(q+r)2=647
9. Tailor From the rest of the cloth tailor could cut off either 3 m in men's suits without vest or 3.6 m with vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) with vest could make the tailor from the re
10. Hypotenuse Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
11. Televisions Television is the fifth most expensive and tenth cheapest TV. How many different TVs are in stores?
12. Calculation How much is sum of square root of six and the square root of 225?
13. De Moivre's formula There are two distinct complex numbers z such that z3 is equal to 1 and z is not equal 1. Calculate the sum of these two numbers.
14. Breeder Seven hens breeder has supplied 350 eggs. How long can deliver, if each of its chickens can withstand at least 5 eggs for week?
15. Airport On blue airport are 23 aircraft, flew 7 aircraft, the arrival 9 aircraft. How many planes were a blue airport tonight?
16. Garden The garden has a rectangular shape with lengths of 25 and 40 meters. It has been expanded so that each of its size increased by one fifth. How many square meters increased its acreage?
17. Compare: What is bigger? ?
18. Equation with abs value How many solutions has the equation ? in the real numbers? The ladder is 10 m long The ladder is 8 m high How many meters is the distant heel from the wall? Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant?